Ed/Psych Lib. LB 1557 K58 ! I o ! 9 9 3 1 7 7 Southern Branch of the University of California Los Angeles Form L 1 XSSI Ubrary Thi? Hrok is DUE^on the last date stamped below 1'OTTKR &- 1'UTNAM, *-*i i i i.i.i >i \. . w. D. KERR; 'i 'i K A 1ST 1 'i t Ii ^ST K' K 1-; T, New York Cit% . NORMAL SCHOOL OUTLINES OF THE COMMON SCHOOL AND ADVANCED BRANCHES. DESIGNED AS AN AID TO TEACHERS AND PUPILS IN THE METHOD OF TEACHING AND STUDYING BY TOPICS, AS PURSUED IN NORMAL SCHOOLS. [A TREASURY OF FACTS.] CONTAINING COMPLETE OUTLINES OF ORTHOGRAPHY, ETYMOLOGY, ELOCUTION, GRAMMAR, RHETORIC, LOGIC, UNITED STATES HISTORY, GEOGRAPHY, PHYSICAL GEOGRAPHY, GEOLOGY, BOTANY, ZOOLOGY, PHYSIOLOGY, NAT- URAL PHILOSOPHY, MENTAL PHILOSOPHY. CHEMISTRY. GOVERNMENTAL SCIENCE, ARITHMETIC, ALGEBRA, GEOMETRY, TRIGONOMETRY, ASTRONOMY, METHODS OF INSTRUCTION, AND THE SCIENCE OF TEACHING. BY W. J. KING. NEW YORK : W. D. KERR, PUBLISHER. 1888. , mm Entered according to the Act of Congress, in the year 1888, by W. J. KING, In the Office of the Librarian of Congress at Washington, D.C. \ 5 PREFACE. THE author of this little volume, having been actively engaged in the work of teaching for many years, has felt the need of a text-book adapted to the school work of all grades, and more particularly re- quired in the higher grades and normal schools ; a text-book that would engender habits of thought on the part of pupils and aid them to develop subjects naturally and logically ; one that would present at a glance the correct outlines of the subjects and give the leading principles of the various branches taught in our schools. Such a text- book the author believes this to be. While it may not be complete in itself, by a little elucidation of the subjects on the part of the instructor, and a careful study of the out- lines and principles on the part of the pupils, a fair knowledge of each branch may be gained without reference to any other text-book. More particularly is it calculated to be supplementary to ordinary text-books. Its classified arrangement of topics and facts saves much unnecessary labor on the part of pupils. This volume is offered to the public with the hope that it may be found essential to both teachers and pupils. Should it create a taste for scientific investigation and classified knowledge on the part of scholars the highest aims of the author will be attained. W. J. KING. TO TEACHERS AND OTHERS WHO MAY USE THIS BOOK THE author wishes to offer a few suggestions with reference to the manner of using this book. The book is not designed as a text-book, exclusive of any other, but rather as a supplementary book to use in connection with any other text-book. All the facts are here arranged logically, as bases for lessons topically. To illustrate : In United States History, the lesson assigned is Discoveries as a general topic. Subdivided, the first division is by Columbus, then his early life, etc. Allow the pupils to gather information from any source whatever. They may, in their investigation, examine several authors upon the same subject, and thereby increase their knowledge to a greater degree than if simply following the method of question and answer. Do not attempt too much : only a few topics at each lesson thoroughly elaborated, and at the close, or the opening of the lesson, require the reproduction of the outline by the class, using the black-board. All the dates given, and principles, should be memo- t rized, and the principles, whether philosophical or mathematical, f ) should be rigidly demonstrated and applied to practical problems. This book, while it conforms to no text-book, will be found to ^ agree with all in the facts and principles given ; hence it can be successfully used in connection with any series of text-books. In teaching primary scholars this book will greatly facilitate the work of the teacher by producing the foundations for oral instruction. If judiciously used, it will create an interest on the part of pupils throughout the whole course of study that can be attained in no other way. The sciences can, by following this plan, be taught to the youngest pupils. The teacher can also make this book a fruitful vi TO TEACHERS AND OTHERS. source of information by using the facts stated for bases of general remarks. At times when the interest seems to lag, place a topic or two upon the black-board, and in a very few minutes of elucidation the school will have been awakened, and the next day will reproduce the whole subject-matter presented. The author has no hesitancy in saying, that if teachers will use this book in the manner suggested they will .accomplish grand results, even in the primary schools. Those persons who may use the book as a means of acquiring instruction without the aid of a teacher will find, by carefully studying the outlines here given, and occasionally referring to any text-book they may have for the details upon the data contained in this, they will become familiar with the subjects in a much shorter time than if they pursued the course generally pursued by students, for a large amount of matter contained in all text-books, which to a great degree embarrass the learner, is here omitted. Only facts are stated, and generalizations are left entirely out. These facts stand out as finger-boards to guide the seeker after truth just where he should look, and point out to him just those things for which he should look in any text-book. That you may find this book a most valuable help to prosecute your arduous labors, either as teachers or private students, is the wish of the author. W. J. KING. CONTENTS. PAGE Preface iii Note to teachers v Contents vii SECTION I. ORTHOGRAPHY i SECTION II. ETYMOLOGY 2 SECTION III. ELOCUTION 2 SECTION IV. GRAMMAR: CHAPTER I. Orthography 4 CHAPTER II. Etymology ' 4 CHAFFER III. Syntax 7 CHAPTER IV. Prosody 8 SECTION V. RHETORIC: CHAPTER I. Invention 10 CHAPTER II. Style 10 CHAPTER III. Punctuation 1 1 CHAPTER IV. Capitals n CHAPTER V. Criticism 12 CHAPTER VI. Composition 12 SECTION VI. LOGIC: CHAPTER I. Of terms 14 CHAPTER II. Propositions 15 CHAPTER III. Syllogisms 16 CHAPTER IV. Fallacies 16 CHAPTER V. Methods 17 SECTION VII. UNITED STATES HISTORY: CHAPTER I. Early history 18 CHAPTER II. Development of the states 25 CHAPTER III. Miscellaneous events during this epoch 29 CHAPTER IV. Wars of United States '. 31 Vlll CONTENTS. SECTION VIII. GEOGRAPHY: PAGE CHAPTER I. Mathematical 41 CHAPTER II. Physical 42 CHAPTER III. Political 43 CHAPTER IV. Local or state geography 46 SECTION IX. PHYSICAL GEOGRAPHY: CHAPTER I. Geology 49 CHAPTER II. Hydrography 50 CHAPTER III. Meteorology 52 CHAPTER IV. Organic life 53 CHAPTER V. Local or state physical geography 54 SECTION X. GEOLOGY : CHAPTER I. Rocks 56 CHAPTER II. Volcanoes and earthquakes 57 CHAPTER III. Fossil remains 57 SECTION XI. BOTANY: CHAPTER I. Phenogamous plants 59 CHAPTER II. Cryptogamous plants 62 CHAPTER III. Parts of plants 62 SECTION XII. ZOOLOGY: CHAPTER I. Invertebrates : 66 CHAPTER II. Vertebrates 67 SECTION XIII. PHYSIOLOGY: CHAPTER I. Skeleton 71 CHAPTER II. Muscles 72 CHAPTER III. Integument or skin 72 CHAFFER IV. Respiration 73 CHAPTER V. Voice .- 73 CHAPTER VI. Circulation 73 CHAPTER VII. Food 74 CHAPTER VIII. Digestion 75 CHAPTER IX. The nervous system 75 CHAPTER X. Special senses 76 CHAPTER XI. Health and Disease 76 SECTION XIV. NATURAL PHILOSOPHY: CHAPTER I. Matter 77 CHAPTER II. Mechanics '. 77 CHAPTER III. Pneumatics 81 CHAPTER IV. Pyronomics 81 CHAPTER V. Optics 82 CHAPTER VI. Acoustics 84 CHAPTER VII. Electricity 85 CHAPTER VIII. Magnetism 85 CONTENTS. IX PAGE CHAPTER IX. Astronomy 86 CHAPTER X. Meteorology 87 SECTION XV. MENTAL PHILOSOPHY : CHAPTER I. Empirical psychology 88 CHAPTER II. Intellect 88 CHAPTER III. Susceptibility 89 CHAPTER IV. The will 89 CHAPTER V. The mind can attain its end 90 SECTION XVI. CHEMISTRY: CHAPTER I. Liquid and aeriform matter 91 CHAPTER II. Plants 92 CHAPTER III. Solids, etc 93 CHAPTER IV. Elements 94 CHAPTER V. Chemical attraction 95 SECTION XVII. GOVERNMENTAL SCIENCE: CHAPTER I. Principles of government 96 CHAPTER II. Kinds of government 96 CHAPTER III. State governments 97 CHAPTER IV. Judicial department 99 CHAPTER V, United States government 100 CHAPTER VI. Principles of law 103 SECTION XVIII. ARITHMETIC: CHAPTER I. Fundamental rules, etc 107 CHAPTER II. Decimal fractions no CHAPTER III. United States money 1 1 1 CHAPTER IV. Properties of numbers in CHAPTER V. Fractions 112 CHAPTER VI. Denominate numbers 113 CHAPTER VII. Ratio 117 CHAPTER VIII. Proportion 117 CHAPTER IX. Percentage 117 CHAPTER X. Alligation 120 CHAPTER XI. Progression 120 CHAPTER XII. Involution and evolution 121 CHAPTER XIII. Annuities and mensuration 122 SECTION XIX. ALGEBRA: CHAPTER I. Definitions, etc 125 CHAPTER II. Entire quantities 126 CHAPTER III. Fractions 128 CHAPTER IV. Equations 129 2 X CONTENTS. PAGE CHAPTER V. Powers and roots 1 29 CHAPTER VI. Radicals 130 CHAPTER VII. Quadratics and progression 131 SECTION XX. GEOMETRY: CHAPTER I. Terms and language 132 CHAPTER II. Of quadrilaterals 133 CHAPTER III. Of polygons 133 CHAPTER IV. Of proportion 134 CHAPTER V. Of squares on lines 134 CHAPTER VI. Of similar triangles 135 CHAPTER VII. Of the circle 135 CHAPTER VIII. Of measurement of angles 135 CHAPTER IX. Of the circumference and area of circles 135 CHAPTER X. Of planes and their angles 136 CHAPTER XI. Of solids 136 CHAPTER XII. Of the pyramid, cylinder, cone, etc 137 CHAPTER XIII. Of spherical geometry 137 CHAPTER XIV. Mensuration 138 SECTION XXI. TRIGONOMETRY 140 SECTION XXII. ASTRONOMY: CHAPTER I. Definitions, etc 142 CHAPTER II. Planets in their order 143 CHAPTER III. Minor planets, comets, etc 145 SECTION XXIII. METHODS OF INSTRUCTION, OR THE ART OF TEACH- ING: CHAPTER I. Language and physical science 147 CHAPTER II. Mathematics and art 150 SECTION XXIV. SCIENCE OF TEACHING, OR SCHOOL MANAGEMENT: CHAFFER I. School grades, studies, furniture, apparatus, etc 153 CHAPTER II. Organization of school 1 54 CHAPTER III. Employment of school 155 CHAPTER IV. Government of school 157 CHAPTER V. School authorities 159 TREASURY OF FACTS. SECTION I. ORTHOGRAPHY. I. LANGUAGE. II. ELEMENTARY SOUNDS. ' i. Vocals. 2. Subvocals. 3. Aspirates. 4. Equivalents. C i. Vowels. III. LETTERS AND DIVISIONS. i. According to use. Consonants. f i. Labials. 2. According \ 2. Linguals. to genera. 1 3. Dentals. L. Palatals. 1. Diphthong. 2. Triphthong. 3. Digraph. 1. Mutes. 2. Semivowels. 3. Liquids. 4. Nasals. 5. Sibilants. ( i. Roman. f .. Capitals. 3 2 ; ^English. (4. Uses. 2. Script. 3. According f i. Pica. to form. 2. Small Pica. 3. Long Primer. 4. Bourgeois. ' I. Ultimate. 3. Small letters. - 5. Brevier. 6. Minion. 2. Penult. 7. Nonpareil. IV. SYLLABLES. \ 3. Antepenult. 8. Agate. 4. Pre-antepenult. 9. Diamond. 5. Poly-pre-antepenult. k 10. Pearl. V ACCENT J ' Primar y- * T> ) 2. Secondary. TREASURY OF FACTS. VI. SPELLING. VII. FIGURES. Rules. Pronunciation. Diacritical marks. I. Aphtzresis. 2. Sy tic ope. 3. Apocope. 4. Prosthesis. 5. Paragoge. 6. Tmesis. 1. Macron. 2. Breve. 3. Tilde. 4. Diaeresis. 5. Cedilla. 6. Caret. SECTION II ETYMOLOGY. i. Roots. I. DERIVATION OF WORDS. \ 2. Prefixes. 3. Suffixes. i. According to their use. II. CLASSIFICATION OF WORDS. III. SIGNIFICATION OF WORDS. IV. ANALYSIS OF WORDS. V. SYNONYMS. 2. According to their form. 1. Nouns. 2. Pronouns. 3. Verbs. 4. Adjectives. 5. Adverbs. 6. Prepositions. 7. Conjunctions. 8. Interjections. r i. Simple. 2. Compound. 3. Primitive. 4. Derivative. SECTION III. ELOCUTION. I. ORTHOEPY. I. Articulation. i. Oral elements. 2. Organs of speech. . Vocals. . Subvocals. . Aspirates. :r. Lips. 2. Teeth. 3. Tongue. 4. Palate. ELOCUTION. 2. Syllabication. I. ORTHOEPY. 1. Monosyllable. 2. Dissyllable. 3. Trisyllable. 4. Polysyllable. 3. Accent. i. Emphasis. 2. Slur. 3. Inflections. 1 1. Primary. \2. II. EXPRESSION. 4. Modulations of voice. i. Pitch. 2. Force. 3- Quality. 4. Rate. 5. Impersonation. 6. Pauses. Secondary. ii. Absolute. 2. Antithetic. 3. Cumulative. 4. Rules. (i. Rising. 2. Falling. 3. Circumflex. 4. Monotone. [5. Rules. " i. High. 2. Medium. 3. Low. 1. Strong. 2. Moderate. 3. Gentle. 4. Subdued. 1. Pure. 2. Orotund. 3. Guttural. 4. Aspirated. 5. Tremulous. 1. Rapid. 2. Moderate. ( 3. Slow. 1. Of the different languages. 2. Of different persons in the same language. 3. Of old persons. 4. Children and young persons. 1. Comma. 2. Semicolon. 3. Colon. 4. Period. 5. Interrogation. 6. Exclamation. 7. Dash. 8. Parenthesis. 9. Brackets. 10. Suspension. 2. Rules. n. Rhetorical. i. Kinds. TREASURY OF FACTS. I. LETTERS. SECTION IV. GRAMMAR. CHAPTER L ORTHOGRAPHY. I. Vowels. 2. Consonants. j i. Diphthongs. )2. Trif 3. Cabals. 2. Secondary. IV. DIACRITICAL MARKS (see ante, page i). V. SPELLING. VI. FIGURES (see ante, page 2). Triphthongs. 1. Mutes. 2. Semivowels. 3 . Liquids. (See ante, page i.) i. 2. uses. ) 4. Small letters (see ante, page i). II. SYLLABLES (see ante, page i). III. ACCENT. J ' Primar y- CHAPTER II. ETYMOLOGY. I. DERIVATION OF WORDS (see ante, page 2). i. According to number of syllables (see ante, page i). II. CLASSIFICATION OF WORDS. I. NOUNS. f i. Classes. . Properties. i: Common. 2. According to form (see ante, page 2). 3. According to use, and i. NOUNS. 1. Collective. 2. Abstract. 3. Verbal. 1. Masculine. 2. Feminine. 3. Common. 4. Neuter. 1. First. 2. Second. 3. Third. 1. Singular. 2. Plural. Proper. 'i. Gender. 2. Person. 3. Number. GRAMMAR. I. NOUNS. '2. Properties. 4. Case. i. Common. . TVT^., I 2 - Independent. '* 3- Absolute- 1 4. Apposition. 5. Predicate. 2. Possessive. f i . After a verb. :- I 2. After a preposi- II. PRONOUNS. r. Classes. 3. Objec tive. tion. [ 3. By apposition \ i. Simple. ij 2. Compound. < i. Simple. | 2. Compound. 3. Interrogative. 4. Responsive. 5. Adjective. 1. Personal. 2. Relative. 2. Properties. {i. Distributive. 2. Demonstrative. 3. Indefinite. 14. Reciprocal. See above. ' i. L (asses. ' 2. Defini- III. ADJEC- tive. TIVES. : i. Positive. 2. Com- < parison. 2. Com- parative. 3. Superla- L tive. i. Numeral. i. Classifica- tion. IV. VERBS. 1. Gender. 2. Person. 3. Number. 4. Case. J (i. Common. 2. Proper. 3. Participle. [4. Compound, f I. Cardinal. 2. Ordinal. 3. Indefinite. 4. Multiplicative. -PrononH-^; "Sive. iah '3. Indefinite. 1i. Regular. 3! Re e d g undant. 4. Defective. 1. Partici- ples. 2. Infini- tives. 3. With reference 'to the t i. Transitive., object. ( 2. Intransitive. 4. With reference tot i. Principal, each other. \ 2. Auxiliary. < i. Active. I 2. -Passive. {i. Indicative. 2. Potential. 3. Subjunctive. 4. Imperative, t I. Present. \ 2. Present perfect. 2. According to t i. their syntax. ( 2. Not finite. Finite. i. Voice. .2. Properties. \ 2. Mood. 3. Tense. 6 TREASURY OF FACTS. IV. VERBS. 2. Properties. 3. Tense. 4. Forms of the tenses 3. Past. 4. Past perfect. 5. Future. 6. Future perfect. ' i. Common. 2. Emphatic. 3. Passive. 4- 3. Synopsis. 1.4. Conjugation. V. PREPOSITIONS, j J; #?^/ w ^. 1. Of time. 2. Of place. 3. Of degree. 4. Of manner. 5. Of cause. I. Classes. > 6. Of extent. 7. Of quantity. 8. Of addition. 9. Of exclusion. 10. Of emphasis. 11. Of negation. To modify. Progressive. 5. Ancient. 6. Interrogative. 7. Negative. l i. First. 5. Person. \ 2. Second. ( 3. Third. 6. Number. { J; f^- {i. Present tense. 2. Past tense. 3. Present participle. 4. Perfect participle. VI. ADVERBS. VIL VIII. INTERJECTIONS. , . \ i . To modify. 2. Properties. j 2 To . f i. Positive degree. 3. Forms of comparison. \ 2. Comparative. ( 3. Superlative. 1. Of grief. 2. Of pain. 3. Of joy. 4. Of laughter. 5. Of contempt. 6. Of dislike. 7. Of welcome. 8. Of surprise. 9. Of calling. 10. Of silence. 11. Of direction. 12. Of intensity. 13. Of wonder. GRAMMAR. CHAPTER III. SYNTAX. I. ANALYSIS OF SENTENCES. I. Verbal. 2. Phrasal. 3. Clausal. t i. Principal words. \ 2. Modifying words. 1. Substantive phrase. 2. Subjective phrase. 3. Objective phrase. 4. Adverbial phrase. 5. Adjective phrase. 6. Prepositional phrase. 7. Simple phrase. 8. Complex phrase. 9. Compound phrase. 1. Independent clause. 2. Substantive clause. 3. Subjective clause. 4. Dependent clause. 5. Adjective clause. 6. Adverbial clause. 7. Subjunctive clause. 8. Objective clause. 9. Simple clause. 10. Complex clause. A , . A ^ ect ' ves ' Adverbs. II. SYNTHESIS SENTENCES. OF I. Elements. 2. Connectives. 3. Modifiers. III. CLASSES OF SENTENCES. 1. Simple. 2. Complex. umpuuiiu uuu {i. Subject. " I i. Simple. / 2. Compound. 2. Predicate. \ '" Simple. 3. Independent. < 2 ' Com Pund. i. Conjunctions. 2. Prepositions. 3. Relative pronouns. 4. Responsive pronouns. 5. Conjunctive adverbs. !i. Adjectives. 2. Possessives. i. Words. 3. Appositives. 4. Participles. 5. Infinitives. i. Adjunct. 2. Appositive. 2. Phrases. 3. Participle. 4. Infinitive. 5. Adjective. ' Si. Relative clause. 3. Clauses. < 2. Appositive clause. 3. Adverbial clause. 4. Conjunctive clause. . Declarative. . Interrogative. . Imperative. . Exclamatory. TREASURY OF FACTS. III. CLASSES OF SENTENCES. IV PARSING. V. FIGURES OF SYNTAX. {i. As above, also 2. Copulative. 3. Disjunctive. 4. Illative, i Name words. 2. Name properties. 3. Apply rule. 1. Ellipsis. 2. Aposiopesis. 3. Zeugma. 4. Pleonasm. 5. Enallage. 6. Inversion. 7. Archaism. 8. Mimicry. CHAPTER IV. PROSODY. I. VERSIFICATION. Iambus. r Principal \ :2. 3. Trochee. Anapest. 'i. Poetic feet. < 1 4- I. Dactyl. Spondee. I 2. Secondary. > r 2. Pyrrhic. i 3- Cassura. 'I. Monometer. 2. Dimeter. 3- Trimeter. 2. Poetic lines. 4- 5- Tetrameter. Pentameter. 6. Hexameter. 7- Heptameter. 8. Octometer. 3. Poetic pauses. \ ^ Cassural. Final. "I. Blank verse. 4. Rhymes and stanzas. a. 3* 4- Heroic verse. Couplet. Stanza. 5- Scanning. I. In spelling. 2. In pronunciation. 3- In choice of words. . 5. Poetic licence. 4- 5- In meaning of words. In idioms. 6, In syntax. 7- In figures. 8, In versification. GRAMMAR. II. UTTERANCE. III. PUNCTUATION. 1. Articulation. 2. Degree of loudness. 3. Degree of rapidity. 4. Inflections. 5. Tones. 6. Emphasis. ( I. Grammatical. 7. Pauses. \ 2. Rhetorical. 1. Period. ( 3. Metrical. 2. Colon. 3. Semicolon. 4. Comma. 5. Interrogation. 6. Exclamation. 7. /)a^. 8. Curves or parenthesis. 9. Brackets. 10. Hyphens. 11. Underscore. SECTION V. RHETORIC. CHAPTER I. INVENTION. I. SELECTION OF SUBJECT. II. COLLECTING MATERIAL. III. ARRANGEMENT. 1. Manner of obtaining a subject. 2. Qualities of the subject. 3. Its relation to the writer. 4. Its adaptability to the occasion. 5. The statement of the subject. ( i. Observation. 1. Source of material. < 2. Reflection. 2. Rules for reading. ( 3. Reading. , ,. .. \ i. Ask questions. 3. Rules for reflection, j 2 Ans ^ er questions . ( i. Analytical. ( i. Introduction. ( 2. Synthetical. < 2. Discussion. ( 3. Conclusion. III. DICTION. CHAPTER II. STYLE. I. NECESSITY. / The most exce ii ent f orm O f expression yields the idea II. OENERAL LAW. j it conta i ns w j t h b ut sma u i oss O f mental power. " i . Gather good words. 2. Use pure words. 3. Avoid barbarism. 4. Use naturalized words. 5. Form new words. 6. Avoid impropriety. 7. Be precise in the use of words. 1. Should have concord. 2. Should be clear in lan- guage. 3. Should adhere to unity. 4. Should be forcible. 5. Should possess harmony. 1. Simile. 2. Metaphor. 3. Personification. 4. Allegory. 5. Synecdoche. IV. SENTENCES V. PARAGRAPHS. Is Simple. Complex. Compound. all of which VI. FIGURES. Origin of. Advantage of. Kinds of. 6. Metonymy. 7. Exclamation. 8. Hyperbole. RHETORIC. II VI. FIGURES. VII. VARIETY. Kinds 4 Rules r of. for. 9. Apostrophe. 10. Vision. 11. Antithesis. 12. Climax. 13. Epigram. 14. Interrogation. 15. Irony. By changing diction. {\ . To express interrogation. 2. To express exclamation. 3. From negative to positive. 4. From direct to indirect. CHAPTER III. PUNCTUATION. I. THE NECESSITY FOR. i. Grammatical. II. POINTS. 2. Rhetorical. 3. Printer's marks. 1. Comma. 2. Semicolon. 3. Colon. [4. Period. 1. Interrogation. 2. Exclamation. 3. Dash. 4. Parenthesis. 5. Quotation. 1. Of accent. 2. Apostrophe. 3. Braces. 4. Caret. 5. Cedilla. 6. Brackets. 7. Diaeresis. 8. Ellipsis. 9. Emphasis. 10. Hyphen. 11. Leaders. 12. Leads. 13. Paragraph. 14. Quality marks. 15. Reference marks. 1 6. Section marks. [ 17. Tilde. I. KINDS. CHAPTER IV. CAPITALS. 1. Common. 2. Roman. 3. Italics. 4. Old English. 5. German text. 12 TREASURY OF FACTS. II. USES. J 1. First Words. 2. Headings. 3. Quoted Titles. 4. Names of Deity. 5. Biblical terms. 6. Proper Names. 7. Derivatives from Proper Names. 8. Titles of office and Honor. 9. Personification. 10. Pronoun I. 11. Interjection O. CHAPTER V. CRITICISM. I. THE NECESSITY FOR. f i. Absolute, including style. II. THE KINDS OF. \ ( 2. Relative, including taste. 1. Quality of taste. 2. Variation of taste. 3. Cultivation of taste. 4. Universality of taste. 5. Catholicity of taste. 6. Pleasures of taste. CHAPTER VI. COMPOSITION. I. PROSE. II. POETRY i. Didactic. 2. News. ' I. Descriptions. f i. Purpose of. 3. Business. 2. Narrations. 2. Kinds. 4. Official. 5. Of introduction. 3. Letters. 6. Of friendship. 4. History. I 7. Notes. 5. Biography. f. 1 ' Superscription. 6. Novels. 3Partc J ^' Body. 7. Essays. . 1 .11 IS. < 1 *^* Subscription. 8. Reviews. u Address. {i. Deliberative. 2. Judicial. \ 'i. Kinds. 3. Demonstrative. 4. Lectures. 9. Orations. < 2. Qualities. 5. Sermons. Si. Exordium. 3. Parts. 2. Discussion. 3. Peroration. SI. The purpose. {i. Songs. 2. The kinds. < i. Lyric. 2. Odes. 3. Elegies. ( 2. Epic. 4. Sonnets. RHETORIC. II. POETRY. 2. The kinds. (i. Tragedies. Dramatic. \ ^ Didactic. III. VERSIFICATION. i. Feet. 2. Verse. .3. Stanzas. Comedies. 1. Philosophical. 2. Moral. 3. Meditative. [4. Satires. 1. Spondee. 2. Iambic. 3. Trochee. 4. Dactyl. 5. Anapest. 6. Amphiambus. 1. Monometer. 2. Dimeter. 3. Trimeter. 4. Tetrameter. 5. Pentameter. 6. Hexameter. 7. Heroic. 8. Blank verse. 9. Rhyme. 1. Distich. 2. Triplet. 3. Quatrain. 4. Rhyme-Royal. 5. Ottava Rima. 6. Terza Rima. 7. Sonnet Stanza. 1. Illiterative. 2. Assonatal. 3. Consonatal. 4. Triple. q. Middle. SECTION VI. I. CONCEPTIONS. II. SUBSTANCE PROPERTIES. AND III. OF THE WHOLE AND ITS PARTS. LOGIC. CHAPTER I. OF TERMS. 1. Their formation. 2. Their object. 3. Their relation. 1. Sphere. 2. Matter. 3. Essentia. , 4. Genus. 5. Differentia. ' 6. Species. 7. Individual. 8. Accidental. i. Quantity. 2. Division. 1. General. 2. Collective. 1. Logical. 2. Continuous. 3. Discrete. Physical. Mathematical. Logical. I. Cause. IV. CAUSE AND EFFECT. - 2. V. DIFFERENCE AND RESEMBLANCE. 1. Co-ordinate. 2. Disparate. 3. Absolute. [4. Relative. 1. Absolute cause. 2. Relative cause. 3. Primary. 4. Secondary. 5. Efficient. 6. Occasional. 7. Material. 8. Formal. 9. Final. 10. Negative. 11. Transient. 12. Permanent. 13. Immanent. 1. Immediate. 2. Remote. 3. Direct. 4. Accidental. 1. Similarity. 2. Contrariety. 3. Analogy. LOGIC. CHAPTER II. PROPOSITIONS. I. JUDGMENT. I. Scope of judgment. ^ Kinds of judgment 1. Categorical. 2. Conditional. 3. Disjunctive. 4. Relative. 5. Hypothetical. , 6. Probable. Subject. Predicate. II. TERMS OF A PROPOSITION. Si. Forms. 2. Effects. 3. Classification. IV. COMPLETENESS OF PROPOSITIONS. ( i. Comprehensive. V. QUANTITY OF JUDGMENT 2. Intensive. 3. Portensive. VI. QUALITY OF JUDGMENT, \ \ . VII. MODALITY OF JUDGMENT. ] 2. Assertive. Problematical. VIII. CARDINAL PROPOSITIONS. IX. DISTRIBUTION OF TERMS. X. IMMEDIATE INFERENCE. Apodictical. 1. Universal affirmatives. 2. Universal negatives. 3. Particular affirmatives. 4. Particular negatives. Universal propositions ; subject. Negative propositions ; predicate. 1. Opposition of judgment. 2. Contra-posi- \ i tion. \ 2 \ i Contraries. Sub-contraries. Extra-position. Centra-position. XI. COMPLEX PROPOSITIONS. \ . Substitution of terms !i. Expletives. 2. Differential. 3. Exclusive. 4. Conditional. XII. COMPOUND PROPOSITIONS. XIII. COMPARATIVE JUDGMENT. C i. Express. [2. Implied. XIV. PROBABLE JUDGMENT is 1. Copulative. 2. Causal. . Discretive. Conditional. Exceptive. < _. Exclusive. 1. Simple comparatives. 2. Comparatives of intensity. v 3. Comparatives of relation. Favorable. Unfavorable. Antecedent. .* h i6 TREASURY OF FACTS. XV. CONDITIONAL JUDGMENT. XVI. DISJUNCTIVE. XVII. AFFIRMATION. 1. Sequence. 2. Complex condition. 3. Compound condition. Middle excluded. 1. Identity. 2. Contradiction. 1 3. Cause or reason. [4. Middle excluded. CHAPTER III. SYLLOGISMS. I. CLASSIFICATION. II. PURE CATEGORICAL. Major premises. Minor premises. Conclusion. 1. Categorical. 2. Conditional. 3. Disjunctive. i i. Of figures. \ 2. Of mood. III. INDIRECT CONCLUSION. IV. CONVERSE OP SVLLOG.SMS. j J| S**2 V. COMPLEX SYLLOGISMS. VI. COMPOUND SYLLOGISMS. Inductive. Cumulative. 1. Pro-syllogisms. 2. Epi-syllogisms. IX. COMPOUND JUDGMENT IN SYLLOGISMS. ( i. Simple comparatives. X. COMPARATIVE SYLLOGISMS. < 2. Intensity as a cause. ( 3. Of manner, time, and place. ( i. The sum of all the parts is the whole. XI. PROBABLE SYLLOGISMS. ? 2. The remainder, with the part taken from ( the whole, is a whole. XII. CONDITIONAL SYLLOGISMS. ( i. Divisives. XIII. DISJUNCTIVE SYLLOGISMS. -| 2. Comprehensives. 3. Dilemma. VII. INCOMPLETE FORMS. VIII. REDUNDANT SYLLOGISMS. I. IN FORM. II. IN MATTER. III. IN DICTION. IV. EXTRA LOGICAL. V. OF COMPOSITION, VI. OF ACCIDENTS. CHAPTER IV.-FALLACIES. 1. Equivocation. 2. Amphibolias. 3. Composition. 4. Division. 5. Figures of speech, f i. Ignoratio. 2. Elenchi. 3. Petitio. LOGIC. CHAPTER V. METHODS. I. ORDER AN ELEMENT IN METHOD, f i. Pleasure. 2. Utility. 3. Good. 4. Beautiful. 5. True. 1. Analytic judgment. 2. Synthetic judgment. 3. Necessary matter. 4. Contingent matter. 5. Conjecture. 6. Hypothesis. r. By observation. >%\^X II. IDEAS IN METHOD. III. THE MATTER OF METHOD. IV. METHODS OF INVESTIGATION. V. AVERAGE AND EXCLUSION. VI ANAIVSIS VI. ANALYSIS. 2 p hysical VII. INDUCTION AND ANALOGY. VIII. ELIMINATION. IX. METHODS OF PROOF. 1. Formal to find modal. 2. Modal to find formal. 3. Phenomenon to find class. 1. No two simple causes produce the same effect, and vice-versa. 2. Removal of cause, removes effect. 3. Magnitude of effect, varies with magnitude of cause. 4. The same cause always produces the same effect. " i. Eliminate any element in com- plex antecedent, its consequent will disappear also. 2. If there is a regular disagree- ment in several antecedents in all the elements but one, that one is considered as the cause of any unvarying element in the Laws o f I consequents of the diverse an- elimination. I tecedents. Diminish the cause or increase it, and the effect will also be increased or diminished. Remove one phenomenon, and if the others disappear, the one removed was the cause, but if the others remain, it was the effect. 1. By induction. 2. Concurrence. 1. By demonstration. 2. By deduction. 3. By principles of in- terpretation. 4. Appeal to facts. 5- X. REFUTATION. By progressive approach. 1. Direct refutation. 2. Indirect refutation. 3. Personal refutation. SECTION VII. UNITED STATES HISTORY. CHAPTER I. EARLY HISTORY. I. DISCOVERIES. i. By Columbus. 2. By Cabot. 3. By Vespucci. ii: II. EXPLORATIONS. I. By the Spanish, 2. By the French. 1. His early life (born 1436). 2. His seeking aid. 3. His outfit. 4. Incidents of his voyage. 5. The landing. 6. Return. 7. Subsequent voyages. 8. Date of discovery (1492). 9. His death (May 20, 1506). 10. His burial, first, Seville; then, San Domingo; and last, in 1796, Havana, Cuba. Description of voyage. Places explored (1494). Date of discovery (1497). His voyage. His description of the country. Name and date (1499). 1. Ponce de Leon (1512). 2. Balboa (1513). 3. Cordova (1517). 4. Grijalva (1518). 5. Cortez (1519). 6. Ayllon (1520). 7. Magellan (1520). 8. Narvaez (1528). 9. De Soto (I539)- 10. Melendez (1565). n. Espejo (1582). ^ 12. Result of these. 1. Denys (1506). 2. Verrazzani (1524). 3. Cartier (1534). 4. Coligny (1562). 5. De Gourgues (1567). 6. De Monts (1604). 7. Champlain (1608). 8. Jesuit missionaries 9. Result of these UNITED STATES HISTORY. II. EXPLORATIONS. I. By the Spanish. III. EARLY SETTLE- MENTS. 2. By the French. 3. By the English. 4. By the Dutch. IV. DEVELOPMENT OF THE COLONIES : 1. When? (1607). 2. Where? (Jamestown). 3. By whom ? (English). {i. Domestic. 2. Foreign. 3. By the English. I. VIRGINIA.- 1. Frobisher (1576). 2. Sir Francis Drake (1579). 3. Humphrey Gilbert (1583). 4. By the Dutch. j ** 4. Walter Raleigh ^ (,53^ 5. Bartholomew G o s n o 1 d (1602). 6. London Co. (1606). 7. Plymouth Co. (1606). 8. Result of these. Henry Hudson (1609). The result. West Indies. 2. Isthmus of Panama (1510). 3. Mexico (1521). 4. St. Augustine (1565). 5. Santa Fe (1582). 6. San Diego (1769). 1. Quebec (1541). 2. South Carolina (1562). 3. Florida (1564). 4. Acadia (1605). 5. Canada (1608). 1. Newfoundland (1583). 2. Rpanoke Island (i 584-85). 3. Virginia (1607). 1. Introduction of tobacco (1616). 2. Introduction of slaves (1620). 3. Marriage of Pocahontas (1613). i. Navigation Act (1660). f i. Population. Agriculture. 3. Commerce. 8. Wars. 4. Manufactures. William and 5 . Starving time ( 1 6 1 o) . 6. Character of people. T. Progress*. \ , William an 5. Education.] Mary College. 6. Science. 7. Art. 8. Invention. j i. Bacon's Rebellion. '' (2. ist Indian War. 2O TREASURY OF FACTS. I. VIRGINIA. 8. Wars. 3. 2d Indian War. 10. Noted men. 1. When? (1620). 2. Where? (Plymouth). 3. Bywhom? (English). ( i. Domestic. 4. Their suf- ferings. 5. Important events. II. PLYMOUTH AND MASSA- CHUSETTS BAY COLO- NY. 1. Cause. 2. Time (1644). 3. Battles. 4. Length (2 years). 5. Commanders. 6. Result. 7. Treaty. 8. Incidents. (i. First charter. 2. Second charter. 3. Third charter (1612). 4. First colonial assembly (1619). ^5. Written constitution (1621). 1. John Smith. 2. Captain Newport. 3. Lord Delaware. 4. John Rolf. " I. Religious persecutions. 2. Banishment of W i 1 1- iams. 3. Banishment of Ann Hutchison. 4. Banishment of the Qua- kers. 5. Salem Witchcraft (1692). 6. Union of the colonies (1643). 1. Charter revoked by James II. 2. New charter by Will- iam. 7. Progress. .2. Foreign. 6. Character of people. ' i . Agriculture. 2. Commerce. 3. Manufacture. 4. Education (Harvard College)* 5. Science. 6. Art. 7. Invention. 8. Population. 1. Cause. 2. Time (1675). 3. Battles. 4. Commanders 8. Wars. King Phillip's. 5. Result. 6. Treaty. 7. Incidents. C i. Democracy. 9. Government. < 2. Charter. ( 3. Legislature. Salem. 10. Other settlements. Dorchester UNITED STATES HISTORY 21 II. PLYMOUTH AND MASSA- CHUSETTS-! BAY COLO- NY. III. CONNECTICUT. 3. Cambridge. 4. Lynn. ( 5. Roxbury. 1. John Carver. 2. William Bradford. 3. John Endicot. 4. John Winthrop. 5. Sir Edmund Andros. 6. Roger Williams. 7. Rev. J. Harvard. 1. Whenf (1633). 2. Where? (Windsor). 3. By whom? (Dutch). Si. Connecticut. 2. New Haven. 3. Saybrook. 10. Other settlements. II. Noted men. i. Hartford. 2. Windsor. 3. Weath-- ersfield. tiers. 6. Important} events - ( 2. Foreign. i . Domestic, i . Charter oak. 1. Granting of char- ter by Charles II. 2. Annulling of char- ter by James II. Domestic. , Foreign. Common schools. Colleges. \l 8. Wars. Pequod. IV. RHODE ISLANP. 1. Agriculture. 2. Commerce. 3. Manufacturing. 7. Progress. \ 4- Education. 5. Science. 6. Art. 7. Invention. 8. Population. 1. Cause. 2. Time (1637). 3. Battles. 4. Commanders. 5. Length. 6. Result (extermination of Pequods). 7. Treaty. 9. Government. [8. Incidents. ( i. Rev. Thomas Hooker. 10. Noted men. < 2. Captain John Mason. ( 3. Sir Edmund Andros. 1. Whenf (1636). 2. Where? (Providence). 3. Bywhom? (Roger Williams). 4. Character of people. ( i. Relation to Massachu- 5. Important events. \ setts. / 2. Settlement of dispute. 1. Proprietary. 2. Charter. 6. Government. \ 3. Changes. Constitution. Assembly. 22 TREASURY OF FACTS. IV. RHODE ISLAND. 7. Progress. I. Exports. V. NEW HAMPSHIRE. f i. Agriculture. 2. Commerce. 3. Education (Brown University). 4. Science. 5. Art. 6. Invention. 7. Manufacture. .8. Population. ( i. Roger Williams. 8.. Noted persons. < 2. Ann Hutchison. ( 3. Cotton Mather. 1. When? (1623). [" i. Agriculture. 2. Where? (Dover). 2. Commerce. 3. By whom f 3. Education. 4. Progress. < 4. Science. 5. Art. 6. Invention. 7. Population. 5. Character of settlers. ( i. Charter. 6. Government, 7. Important events. VI. NEW YORK. Noted men. 1. W>fc? (1614). 2. Where f (Manhattan Island). 3. Bywhomf (Dutch). ( i. Proprietary. 4. Government. \ 2. Charter. 5. Character of people. {2. Proprietary. 3. Government of Maine. 4. Assembly. Several proprietors. Royal province. Dispute between Me. and Mass. (i. Ferdinand De Gorges. 2. Capt. John Mason. 3. Sir Edmund Andros. 4'. Duke of Monmouth. 6. Important events. 7. Progress. 3. Assembly. 1. Capture by English. 2. Restoration. 3. Representation granted. 4. Representation prohibited. 5. Uprising of the people. 6. Execution of Leisler and Melborne. 7. Union of the Five Nations. 1. Agriculture. , 2. Commerce. \ ' 3. Manufacture. ' 4. Education. 5. Science. 6. Art (printing). 7. Invention. 8. Population. Exports. Imports. 8. Noted men. 1. Wouter Van Twiller. 2. Wm. Kieft. 3. Peter Stuyvesant. 4. Duke of York. 5. Sir Edmund Andros. 6. Col. Sloughter. UNITED STATES HISTORY. VII. NEW JERSEY. 1. When? (1664). 2. Where? (Elizabeth). 3. By whom? (English). . Government. 7. Progress. 8. Noted men. VIII. PENNSYLVANIA. f I. Division of colony. TmAnrtatit 2 - Wm - Penn mana ger of E. and W. Jersey. . Important \ ^ ast Jersey sold ^ penn 4. Union of colony. [ 5. Separate governments, f i. Agriculture. , -r- 2. Commerce. ' f X P?' \ 3. Population. \ *' Im P orts " [ 4. Education (Nassau Hall College). (i. Lord Berkeley. 2. Sir Geo. Cartaret. 3. Philip Cartaret. 4. Wm. Penn. When? (1682). Where? (Philadelphia). By whom ? (William Penn). (i. Proprietary. 2. Charter. 3. Assembly. 4. Constitution. 1. Treaty with Indians. 2. Penn's return to Eng- land. 3. Dissensions. 4. New charter. 5. Penn's second visit to 4. Character of people. 5. Government. 6. Important events. 7. Progress. 8. Noted men. IX. DELAWARE. X. MARYLAND. Pennsylvania. 6. Mason and Dixon's line. 4. Science. 5. Art (Newspapers). 6. Invention. 7. Population. William Penn. William Markham. 1. When ? (1638). < > Penn>s sons ' 2. Where? (Wilmington). 3. By whom ? (Swedes). 4. Character of people. 5. Progress. 6. Important events. ( I. Proprietary. 7. Government. < 2. Charter. 1. When? (1634). (3. Assembly. 2. Where ? (St. Mary's). /. * i: TREASURY OF FACTS. X. MARYLAND. 3. By whom ? (Lord Baltimore). 4. Character of the people. C i. Proprietary. 5. Government. 6. Important events. 2. Charter. 3. Assembly. 1. Clayborne's Rebellion. 2. Toleration Act. 3. Disfranchisement of Catho- lics. 4. Civil War. 5. Second Religious War. 6. Made a Royal Province. 1. Agriculture. 2. Commerce. 3. Science. 4. Art. 5. Education. 6. Invention. Exports. Imports. 7. Progress. \ 4. Art. ( i. Common schools. Public library. Colleges. 7. Population. ( i. Lord Baltimore. Noted men. < 2. Leonard Calvert. ( 3. Charles Calvert. 'i. When? (1650). 2. Where? (Albemarle). 3. By whom ? (English). 4. Government. 5. Character of people. XI. NORTH CAROLINA. 6. Important events. 7. Progress. 1 . Proprietary. 2. Charter. 3. Grand model. 4. Assembly. Culpepper Revolt. Indian Massacre. Division of Colony. XII. SOUTH CAROLINA. 3. Education. 4. Science. 5. Art. 6. Invention. 7. Population. ( i. Lord Clarendon. 8. Noted men. \ 2. William Sayle. 1. When? (1670). ( 3. Seth Sothel. 2. Where? (Ashley River). 3. By whom? (English). C i. Proprietary. 4. Government. < 2. Charter. Character of people. ( 3. Assembly. 1. Introduction of slaves (1682). 2. Rebellion. 3. Cultivation of rice (1694). 4. Expedition to St. Augustine. 5. Expedition against Charles- ton. 6. Indian War. 7. Made a Royal Province. 5- 6. Important events. UNITED STATES HISTORY. 7. Progress. XII. SOUTH CAROLINA. t I. Exports. \ 2. Imports. XIII. GEORGIA. (. 8. Noted men. 1. When? (1733)- 2. Where? (Savannah). 3. By whom ? (Oglethorpe). 4. Government. 5. Character of people. 1. Agriculture. 2. Commerce. 3. Education. 4. Science. 5. Art. 6. Population. {i. Governor Colleton. 2. Sir John Yeamans. 3. Governor Moore. 4. Governor Craven. 6. Important events. 7. Progress. 8. Noted men. 11. Proprietary. 2. Charter. 3. Assembly. 4. Change. 1. Invasion of Florida. 2. Spanish Invasion. 3. Oglethorpe 's return to Eng- ^ land. 1. Agriculture. 2. Commerce. 3. Education. 4. Science. 5. Art. 6. Invention. 7. Population. f i. James Oglethorpe. ] 2. Charles Wesley. ( 3. John Wesley. < i. Exports. \ 2. Imports. CHAPTER II. DEVELOPMENT OF THE STATES. 1. Time of election (April 30, 1 789). 2. Politics (none). 3. Length of service (Two terms). 1. Revenue. 2. Public debt ($74,000,000). 3. United States Bank (1791.) 4. District of Columbia (1790). 5. Admission of Vermont (1791). 6. French Revolution. 7. Whiskey Insurrection (1794). 8. Spanish Boundaries (1795). 9. Retirement (March 4, 1797). 1. Thomas Jefferson (Secretary of State). 2. Henry Knox (Secretary of War). 3. Edmund Randolf (Attorney-General). 4. Alexander Hamilton (Secretary of Treasury). I. WASHINGTON'S ADMINISTRATION. 4. Important events. 5. Noted men. 26 TREASURY OF FACTS. II. ADAMS' ADMIN- ISTRATION. III. JEFFERSON'S AD- MINISTRATION. , Important events. i. IV. MADISON'S AD- MINISTRATION. 4. Important events. V. MONROE'S AD- MINISTRATION. VI. JOHN Q. ADAMS' ADMINISTRATION. Time of election (1796). Politics (Federal). Length of term (4 years). 1. Internal affairs. 2. Alien and Sedition Laws (1798). 3. French Hostilities. 4. Reprisals (1798). 5. Treaty with Bonaparte (1800). 6. Death of Washington (Dec. 14, 1799, Age 68 years). Time of election (March 4, 1801). 2. Politics (Republican). 3. Length of term (8 years). 1. Measures of Economy. 2. Louisiana Purchase (In 1803, for $15,000,000). 3. War with Tripoli (1801). 4. Aaron Burr's duel (July, 1804). 5. European Blockade (May, 1806). 6. Right of Search. 7. Firing upon the Chesapeake (June, 1807). 8. Proclamation by President. 9. British Trading Decree (Nov., 1807). 10. Milan Decree (Nov., 1807). 11. American Embargo(Dec.,i8o7). Time of election (March 4, 1809). Politics (Republican). Length of time (8 years). 'i. Non-intercourse Act (1809). 2. Indian Outbreak (1811). 3. Battle of Tippecanoe. 4. War declared against England (June 19, 1812). 5. Revocation of Milan Decree (1810). 6. Charter of U. S. Bank (1816). 7. War with Algiers. [8. Treaty. 1. Time of election (March 4, 1817). 2. Politics (Neutral). 3. Length of service (8 years). 1. Prosperity of the country. 2. War with Seminoles (1817). _ 3. Admission of Maine (1820). Important] 4. Missouri Compromise (1821). events. 5. Monroe Doctrine (1822). 6. Lafayette's Visit (1824). 7. Purchase of Florida (In 1819 for $5,000,000). 1. Time of election (March 4. 1825). 2. Politics Whig).', , Important events. UNITED STATES HISTORY. VII. JACKSON'S AD- MINISTRATION. 4. Important wents. {3. Length of service (4 years). ( i. Prosperity of the country. 4, Im-bortant 2 ' Death of J efferson and Adams events \ 0"^ 4. 1826). 3. Protective tariff (1828). [ 4. First railroad. 1. Time of election (March 4, 1829). 2. Politics (Democrat). 3. Length of term (8 years). " i. Veto of U. S. Bank (1832 and 1836). 2. Black Hawk's War (1832). 3. Tariff Bill (1832). 4. Nullification Act (1832). 5. Clay's Compromise. 6. Florida War (1835). 7. Scott takes command (1836). 8. Victory by Col. Taylor (Dec., 1837). L 9. Bank and Tariff question. 1. Time of election (March 4, 1837). 2. Politics (Democrat). 3. Length of service (4 years). f i. Panic of 1837. 4. Important] 2. Canadian Rebellion (1837). events. | 3. Ashburton Treaty (1842). [4. Sub-Treasury Bill (1840). 1. Time of election (March 4, 1841). 2. Politics (Whig). 3. Length of service (4 years, i month). 1. Death of Harrison (April I). 2. Resignation of Cabinet. 3. United States Bank veto. 4. Important j 4. Dorr's Rebellion (1842). events. \ 5. Anti-rent Difficulties (1844). 6. The Mormans (1845). 7. Annexation of Texas (1845). 8. North-east Boundary. 1. Time of election (March, 1845). 2. Politics (Democrat). 3. Length of term (4 years). 1 . Mexican War (See War, July 4, 1845). 2. The Wilmot Proviso (1846). 3. Discovery of gold in California (1848). Time of election (March 4, 1849). Politics (Whig). Length of term (4 years; Taylor, 16 months). 1. Slavery question. 2. Omnibus Bill (Sep., 1850). 3. The Admission of California (1850). 4. Death of Taylor (July 9, 1850). 5. Death of Clay and Webster (1852). 6. Invasion of Cuba. VIII. VAN BUREN'S ADMINISTRATION. IX. HARRISON AND TYLER'S ADMINIS- TRATION. X. POLK'S ADMIN- ISTRATION. XI. TAYLOR AND FlLMORE'S AD- MINISTRATION. 4. Important events. 4. Important events. 28 TREASURY OF FACTS. XII. PIERCE'S AD- MINISTRATION. XIII. BUCHANAN'S ADMINISTRATION. 4. Important events. XIV. LINCOLN'S TRATION. ADMINIS- XV. JOHNSON'S AD- MINISTRATION. XVI. GRANT'S AD- MINISTRATION. 1. Time of election (March 4, 1853). 2. Politics (Democrat). 3. Length of term (4 years). (i. The Gadsden Purchase ($10,000,000) 2. Kansas-Nebraska Bill (May, 1854). 3. Border warfare. 4. Perry's Expedition to Japan (1854). c i. Time of election (March 4, 1857). 2. Politics (Democrat). 3. Length of service (4 years). " i. Dred Scott Decision (1857). 2. Fugitive Slave law. 3. John Brown's Raid (1859). 4. Secession of the South (Dec., 1860). 5. Seizing of United States Forts, etc. (1860). 1. Time of election (March 4, 1861). 2. Politics (Republican). 3. Length of service (4 years). 4. Condition of country. 5. Great Civil War. (See War.) 6. Assassination (April 14, 1865). 1. Time of election (April 15, 1865). 2. Politics (Republican). 3. Length of term (4 years). ' i. Disbanding the army (1865). 2. Reconstruction Policy. 3. The 1 3th Amendment (Dec. 18, 1865). * 4. Public debt ($2,700,000,000, June, 1865). 5. Reconstruction Policy of Con- gress (1867). 6. Admission of Seceded States (June 24, 1868). 7. Tenure of Office Bill (1867). 8. Impeachment of the President (Jan. 24, 1868). 9. The 1 4th Amendment (July 28, 1868). 10. Indian War (1865-68). 11. French in Mexico (1863). 12. Laying Atlantic cable (1866). 1 3. Purchase of Alaska ($7,200,000, March, 1867). 14. Fenian excitement. 15. Treaty with China (1868). Time of election (March 4, 1869). Politics (Republican). Length of service (8 years). 4. Important 1 ) \. Pacific Railroad (1869). [1870). events. \ 2. Fifteenth Amendment (March 30, 4. Important events. UNITED STATES HISTORY. 2 9 XVI. GRANT'S AD- MINISTRATION. 4. Important events. f i. Chicago. 3. Great Fires. 2. Forest. 1 3. Boston. JN-9; 4. Treaty of Washington (Feb., 1871). 5. Prospects of the country. 6. Proposed annexation of Santo Do- mingo. 7. Death of Greeley (Nov. 29, 1872). 8. Modoc Indians (1873). 9. Credit Mobilier. 10. Railroad Panic (1873). 11. Centennial Exhibition (May 10, 1876, for 6 months.) 12. War with Sioux Indians (1877). 13. The Virginius (1868). 14. Joint Electoral Commission. 15. Admission of Colorado Guly i, 1876). Time of election (March 4, 1877). 2. Politics (Republican). 3. Length of service (4 years). f i. United States troops at the South withdrawn. 2. Railroad strike (1877). 3. Bland Silver Bill (Feb. 21, 1878). 4. Fishery award ($5,500,000). 5. Resumption of Specie payment (Jan. i, 1879). 1. Time of election (March 4, 1881). 2. Politics (Republican). 3. Length of service. 4. Assassination (July 2, 1881). 5. Death (Sept. 19, 1881). XIX. ARTHUR'S INAUGURATION (Sept. 20, 1881). XVII. HAYES' AD- MINISTRATION. XVIII. GARFIELD'S MINISTRATION. f I. 4. Important events. AD- CHAPTER III. MISCELLANEOUS EVENTS DURING THIS EPOCH. I. PROGRESS, i. In States. 1. Vermont (March 4. 1790- 2. Kentucky (June i, 1792). 3. Tennessee (June i, 1796). 4. Ohio (Nov. 29, 1802). 5. Louisiana (April 8, 1812). 6. Indiana (Dec. 1 1, 1816). 7. Mississippi (Dec. ID, 1817). 8. Illinois (Dec. 3, 1818). TREASURY OF FACTS. I. PROGRESS. I. In States. 2. In area. 9. Alabama (Dec. 14, 1819). 10. Maine (March 15, 1820). 1 1 . Missouri (August 10, 1821). 12. Arkansas (June 15- 1836). 13. Michigan (Jan. 26, 1837). 14. Florida (March 3, 1845). 15. Texas (Dec. 27, 1845). 16. Iowa (Dec. 28, 1846). 17. Wisconsin (May 29, 1848). 1. Louisiana purchase $15,000,000). 2. Spanish Florida ,000,000). 1 8. California (Sep. 9, 1850). 19. Minnesota (May ii, 1858). 20. Oregon (Feb. 14, 1859). 21. Kansas (Jan. 29, 1861). 22. West Virginia (June 20, 1863). 23. Nevada (Oct. 31, 1864). 24. Nebraska (March i, 1867). 25. Colorado (July i, 1876). (April 30, 1803, for (Feb. 22, 1819, for 3. Texas ( 1 845). 4. California (1848). 5. Gadsden Purchase ^1853, $10,000,000). 6. Alaska (October, 1867, for $7,200,000). In population (from 2,000,000 to 52,000,000). 4. In production. 5. In agriculture. 6. In manufacture. J. In commerce. 8. In invention. 1. Lightning rod (By Franklin, 1752). 2. Cotton gin (By Whitney, 1792). 3. Steamboat (By Fulton, Sept. 4, 1807). 4. Railroad (1827 First, now 52,000 miles). 5. Electro-magne tic telegraph (Morse, 1844). 6. Atlantic Cable (Cyrus W. Field, 1857-58, 1866). 7. Telephone (Bell, 1876-77). 8. Varied machinery. 1. Common schools. 2. High schools. 9. Intellectually. \ 3. Colleges. 4. Newspapers. 5. Books. 10. Fine arts. Painting. Sculpture. 11. Morally. 12. In Governmental science. 1. Churches. 2. Bible societies. Orphan asylums. II. AUTHORS. I. Historians. 1. Bancroft. 2. Prescott. 3. Motley. 4. Hospitals. 4. Greeley. 5. Forney. 6. Headly. UNITED STATES HISTORY. II. AUTHORS. III. ORATORS. I. Historians 2. Poets. u Barnes. Ridpath. 1. Bryant. 2. Whittier. I 3. Simms. f i. Cooper. 3. Romantic and] 2. Hawthorne. miscellaneous. \ 3. Irving. [4. Channing. 1. Webster. 7. Seward. 2. Clay. 8. Prentice. 3. Calhoun. 9. Stephens. 4. Bent on. 10. Douglass. 5. Everett. u. Choate. 6. Phillips. 12. Sumner. 9. Lossing. 10. Anderson. 4. Poe. 5. Holmes. 6. Longfellow. 5. Legare. 6. H. B. Stowe. 7. Mrs. Sigourney. CHAPTER IV. WARS OF UNITED STATES. I. KING WILLIAM'S. II. QUEEN ANNE'S 2. Time (1689). 3. Length (8 years). 4. Battles. 5. Result (same as before). III. KING GEORGE'S. 1. Cause (War between England and France on account of James II., King of England). 1. Port Royal (1690). 2. Expedition against Quebec (1690). 3. Indian Expeditions (Schenec- tady, Haverhill). 4. Commanders (Gov. Phipps). 5. Treaty (Ryswick, 1697.) 1. Cause (To place James' son on the Throne of Eng- land. France against England). 2. Time (1702). 3. Length (i I years). f i. Expedition against Port Royal (1707). 2. Second expedition against Port Royal (1710). [ 3. Invasion of Canada (1711). 5. Result (French gave up Acadia). 6. Treaty (Utrecht, 1713). i . Cause (Troubles in Europe). 2. Time (1744). 3. Battle (Capture of Louisburg, 1745). 4. Length (4 years). 5. Result (both parties restored territory taken). Treaty (Aix-la-Chapelle, 1748). 4. Battles. I. Cause (Overlapping Claims). IV. F R E N C H I 3 . Washington s journey. AND INDIAN. f r 4. Objective^ \. Fort Du\ ' I points. \ Quesne. 1 First Expedition (Sur- render o A V ashington, j u i y4 . I7 5 4 ). TREASURY OF FACTS. I. Fort Du Quesne. 2. A c a di a and Louis- burg. \ 1 '4. Objective points. 3. C'r oiv n Point and Ticond ' 2. 3- oga. 4- 5- 4. Niagara (C apt A IV. FRENCH AND INDIAN.' 1 2. C< ^.Quebec. J 5. 2. Second Expedition (De- feat of Braddock, July 3. Result (Capture of the fort by General Forbes, 1758). f i . Braddock. 4. Com- i 2. Forbes, manders. 1 3. W ashing- t ton. Acadia (1755). Louisburg (1757). Commanders. Battle of Lake George (1755). Attack on Ticonderoga (1758). Capture of the Forts (1759). 4. Com- J ' Dieskau. manders -r'crombie r " 5. Result (Opened the route to Canada). :ured in July, 1759). Attack (Sept. 13, 1759). j i. Montcalm. manders. / 2. Wolf. Result (Surrender of city, Sept. 1 8, 1759). 4. Loss (Both commanders.) 8. Effects. Length (9 years). 6. Close (In 1760 for English, but French kept it up till 1763). 7. Treaty (Of Paris, 1763). ' r. England gained all the possessions of the French North of Iberville River and East of Mississippi River. 2. $16,000,000 loss, and 3. 30,000 men. [ 9. Incidents of the war. V. PONTIAC'S WAR (1763). f i. Writs of Assistance. 2. Stamp Act (Passed 1765). 3. Mutiny Act (1767). 4. Boston Massacre (March 5, 1770). 5. Boston Tea-party (Dec. 16, 1773). I. When? (April 19, 1775). VI. WAR OF REVOLUTION. i. Causes. 2. Battles] of 177 $ | (2. i. Lexington. Bunker Hill. 2. Number engaged. 3. Commanders. 4. Result (British defeat). 5. Effects. .,, 1 1. When? (June 17, 1775)- ' / 2. Commanders. UNITED STATES HISTORY. 33 2. Bunker Hill. 3. Result (British defeat). 4. Effect. i. When? (May 10, 1775). 3. Capture of 2. Commanders. r2. Battles j Ticonderoga. 3. Result (English defeat). of 1775-' 4. Effect. ' i. First column. 4. Canada ex- pedition. 2. Second column. 3. Attack on Quebec (Dec. 3L 1775)- 4. Result (Patriot failure). 5. Effects. i. Evacuation of Boston (March 17, 1776). Moultrie. f 3. Result. 3. Campaign near 'New York Quly 12). r i. Time (August 27). 4. Battle of 12. Commanders. Loner Island. 3. Result. 3. Battles 4. Effect. 0/1776.' , f i. To Harlem Heights. VI. W A R OF REVOLUTION. ' ^H 3: 'h e c p iSe s - ' at ' \ 4. Flight through N. J. t 5. Condition of country. fi. Time (Dec. 25, 1776). 6. Battle of\ \ . Trenton. 1 f 4' Commanders. Number engaged. Result. Is- Effects. f i . Time (January 3, 1777). r r> **i f\i. Commanders. i. Battle o/\ Number engaged.' Princeton. \ Result Is . Effect. [i. Time (Oct. 4, 1777). 2. Battle of ^ Germantown. 2. Commanders. 3. Number engaged. 4. Result. 5. Effect. 4. Battles I 0/1 777- 1 3. Battle of Brandywine. i. Time (Sept. n, 1777)- 2. Commanders. 3. Number engaged. 4. Result. 5. Effect. 4. Campaign at the North. i. lime. n ^i f D 2. Commanders. 5. Battle of Ben-\ Number engaged . ( mngton. J Result 5. Effect. 34 TREASURY OF FACTS. VI. W A R OF REVOLUTION. 4. Battles of 1777- 5. Battles of 1778. - 6. Burgoyne's In- vasion. 7. Battles of Saratoga. 1. Intent (June, 1777). 2. Number of men (10,- ooo). 3. Crown Point. 4. Ticonderoga. 5. Fort Edwards. 1. Time (Sept. 19; Oct. 7). 2. Commanders. 3. Number engaged. 4. Result. 5. Effects. Winter at Valley Forge (1777-78). 2. Con-way Cabal (177$). 3. French Alliance (Feb. 6, 1778). 4. Conciliatory proposals. 5. America's friends. 6. Evacuation of Philadelphia. "i. When? (June 28, 1778). Battle of Mon- ^ mouth. 6. Battles, etc., of 1779. 2. Commanders. i. Campaign the South. 3. Number engaged. 4. Result. ^5. Effect. Campaign tn( i. French fleet. Rhode Island. \ 2. Result. 9. Massacre of Wyoming (July, 1778). 1. Capture of Savannah (Dec. 29, 1778). 2. Capture of Fort Sun- bury (Jan., 1779). 3. Battle of Kettle Creek (Feb., 1779). 4. Battle of Brier Creek (March, 1779). 1. Expedition into Con- necticut. 2. Expedition to Ports- mouth. 3. Capture of Stony Point. 4. Second expedition to Connecticut. 5. Recapture of Stony Point. 6. Capture of Pa u 1 u s Hook (July). 7. Expedition against Fort Castine (July, 1779)- 8. Operations aga i n s t the Indians. 3. Siege of Savannah (September, 1779). 4. Squadron of Paul Jones (September). 2. Campaign the North. tn UNITED STATES HISTORY. 35 VI. W A R OF REVOLUTION. C 7. Battles, etc., of 1780. 8. B a t - ties, etc., 0/1781. 9. Miscel- laneous. I. Campaign in the South. 1. When ? (Aug. 16). 2. Commanders. 3. Number engaged. 4. Result. 5. Effect. Comman- 2. Battle of Camden. of 3. Position ders. 4. Arnold's treason. i. War in the South. I. Guilf ord 1. Marion. 2. Su niter. 3. Pickens. 4. Lee. Court House (Mar. 15,1781). 2. Ninety-six (May). 3. Eutaw Springs (September). 1. Arnold's Expedition into Virginia (J a n., 1781). 2. Lafayette's defence. 3. Cornwallis in Virgin- ia (June). Difficulties of the country. 1. Time (Oct. 19, 1781). 2. Commanders. 3. Number of men. 4. Result. 2. Closing battles. 3. Greens retreat. 4. In the North. 6. Siege of York- town. ' 5. Effect. 7. Peace declared (Nov. 30). 8. Treaty (Sept. 3, 1783). i. When? 1774). r. First Conti- 2. Where? nental Con-\ phia). gress, (Sept. 5, (Phil ad el- 2. Second Conti- nental C o n- gress. 3. Result (Agreed upon a Decl aration of Rights). 1. When? (May, 1775)- 2. Where ? (Philadel- phia). Result (Voted mon- ey and an army). Stratagem of Fort Stanwix. 4. Franklin 's mission to France. 5. Troubles in camp (1780 and 1781). 6. Morris, Financial agent. 7. Shay' s Rebellion. 8. Constitutional Convention (May, 1787). 9. Adoption of Constitution (Sept. 17, 1787). (_ 10. Continental money. VII. SECOND WAR WITH ENGLAND. ( i. Right of Search. I. EVENTS OF 1812. i. Cause. < 2. Impressment of our seamen. 3. Seizing our vessels as prizes. TREASURY OF FACTS. I. EVENTS OF 1812. II. EVENTS OF 1813. c v f( x - When? (Aug. 16, 1812). surrenaeroj \ 2 Commanders (Hull and Brock). rolt ' ( 3. Result (loss of Michigan), "i. When? (Oct. 13, 1812). 2. Commanders (Van Rensselaer and Brock). 3. Number of men. 4. Result (Surrender of part of army). 1. Constitution and Guerriere (Aug. 9). 2. Frolic and Wasp (Oct. 13). 3. Other victories (300 prizes cap- tured). r. The Northern Army. 2. The Central Army. 3. The Western Army. Battle of Queenstown. 4. Naval vic- tories. 4. Battle of the Thames. When ? (Oct. 5). 2. Commanders (Proctor and Har- rison). 3. Result (Decided the war). 4. Effect (Relieved Michigan). 5. Perry's -victory (Sept. 10, 1813). {I. Chesapeake and Shannon 2 .fce; '^Peacock (Feb. 24). , Battle of Lun- dys Lane. 2. Battle of Lake Champlain. III. EVENTS OF 1814. 3. Ravages on Atlantt fl. 4. Battle of New I 2. Orleans. 13- ( i. 5. Result of war. 6. Peace declared. 1. When? (July 25, 1814). 2. Commanders (Brown and Drum- mond). 3. Result (Not decisive). 1. When? (Sept. 11, 1814). 2. Commanders (Prevost and Ma- comb). Result (Capture of British fleet). '.c coast. When? (Jan. 8, 1815). Commanders (Jackson and Pak- enham). Result (British defeat). In money ($127.000,000). 2. Loss of men. 3. Increase of manufacture. Treaty (Dec. 24, 1814, at Ghent; Ratified Feb. 17, 1815). VIII. WAR WITH MEXICO. i. Cause. 2. Campaign on Rio Grande. fl 3. Capture of } 2 Monterey. Annexation of Texas (July 4, 1845). ,i. When? (April 24, 1846). 2. Commanders (Taylor and Arista). 3. Number of men (2300 and 6000). 4. Result (possession of Matamoras). When? (Sept. 24, 1846). Commanders (Taylor and Ampudia). Number of men (6000 and 10,000). 4. Result (Capture of city). UNITED STATES HISTORY. 37 VIII. WAR WITH MEXICO. 4. Battle of Beuna Vista. 5. Conquest of New Mexico and Cal. 6. Capture of Vera Cruz. 7. Battle of Cerro Gordo. 8. Battles be- foreMexico. IX. WAR OF REBELLION. 1. When? (Feb. 23, 1847). 2. Commanders (Taylor and Santa Anna). 3. Number of men (Less than 5000 and 20,000). 4. Result (Mexican defeat). 1. When? (June, 1846). 2. Commanders (Kearney). 3. Number of men (1000 ; vastly more). 4. Result (Independence of Cali- fornia July 5, 1846). 1. When? (March 29, 1847). 2. Commanders (Scott and Santa Anna). 3. Number of men (12,000; and more). 4. Result (Capture of fortress and city), f i. When? (April 18, 1847). 2. Commanders (Scott and Santa Anna). I 3. Number of men (12,000 and 12,000). [4. Result (Mexican defeat). 1 . When ? (Aug. 7,19, 2o.s Sept. 8, 1 847). 2. Commanders (Scott and Santa Anna). 3. Number of men (10,000 and 30,- ooo). 4. Result (Occupancy of Mexico, Sept. 14, 1847). 9. Peace(]u\y 4, 1848). 10. Treaty (Feb. 2, 1848, Guadaloupe Hidalgo). ( Cession of New Mexico, Utah, and Cali- n. Result. < fornia to the United States by Mexico for $15,000,000). Free trade. Slave labor. States Rights doctrine. 1. Surrender of Sumter (April 14, 1861). 2. West Virginia Campaign (May 24,1861). 3. Big Bethel Repulse (June 10, 1861). 4. Ball's Bluff (Oct. 21, 1861). 1. Battle of Carthage (June 17, 1861). 2. Battle of Wilson's Creek (Aug. 10, 1861). 3. Battle of Belmont (Nov. 7, 1861). 1. Movement of the army of the Peninsula (April 4). 2. Capture of Yorktown (May 4). 3. Battle of Williamsburg (May 5). 4. Battle of Fair Oaks (May 31, June I). 5. Jackson's Raid (June 8). 6. Seven Days' Retreat (June 28, 29, 30, July i, 2, 3, 4). 7. Battle of Gains' Mills (June 27). 8. Invasion of the North (Sept. 5). i. Cause. 4. Events in 1862, East. TREASURY OF FACTS. IX. WAR OF REBELLION. 4. Events in 1862, East. 5. Events in 6. Events in 1863, East. 7. Events in 8. Events in 1864, East. 9. Battle of South Mountain (Sept. 14). 10. Surrender of Harper's Ferry (Sept. 15). 11. Battle of Antietam (Sept. 17). 12. Battle of Fredericksburg (Dec. 13). 13. Capture of New Orleans (April 28). 1. Capture of Fort Henry (Feb. 6, 1862). 2. Capture of Fort Donelson (Feb. 16). 3. Occupation of Nashville (Feb. 23). 4. Occupation of Columbus (March 12). 5. Battle of Shiloh (April 6, 7; men, 40,000 and 57,000). 6. Capture of Island No. 10 (April 7). 7. Capture of Corinth (May 30). 8. Invasion of Kentucky by Bragg (Aug.). 9. His retreat and battle of Perryville (Oct. 8). 10. Battle of Murfreesboro (Dec. 31 and Jan. i). 11. Battle of luka. 12. Battle of Pea Ridge (March 7, 8). 13. Battle of Memphis (June 6). 1. Battle of Chancellorsville (May 2, 3). 2. Invasion of Pennsylvania by Lee. i Battles of ( l ' First Aa ? ^ U !X j) ' 3 'rw! S, , \ 2 - Second da y (J ul Y 2 )- Gettysburg, j ^ Third frffaty 4. Lee's retreat. 5. Effect of these j Exploded the idea of battles. \ northern invasion. 1. Siege of Vicksburg (July 4). 2. Surrender of Port Hudson (July 9). 3. Rosenkrans in Tennessee (June). 4. Battle of Chickamauga (Sept. 19, 20). 5. Battle of Chattanooga (Nov. 23, 24, 25). 6. Battle of Missionary Ridge (Nov. 25). 7. Operations in East Tennessee (Nov. 3)- 8. Naval attack on Sumter (April 7). 9. Capture of Fort Wagner (Sept. 7). 1. Grant's Campaign (May 4). 2. Battle of the Wilderness (May 5, 6). 3. Battle of Spottsylvania (May 8, 9, 10, ii. 12). 4. Battle of North Anna (June 3). 5. Battle of Cold Harbor (June 3). 6. Attack on Petersburg (June 8). 7. Operations in Shenandoah Valley. 8. Butler's Advance on Petersburg (June 18). 9. The Mine Explosion (July 30). 10. Siege of Washington (July 10). 11. Battle of Monocacy (July 9). 12. Sheridan's Valley Campaign (Sept.). UNITED STATES HISTORY. 39 IX. WAR OF REBELLION. 9. Events in 1864, West. 8. Events in 1864, ( 13. Battle of Winchester (Sept. 19). East. \ 14. Battle of Cedar Creek (Oct. 19). 1. Sherman's Campaign (May 6). 2. Battles of Resaca and Dallas (May 14, 15, 25-28). 3. Battles of Kenesaw Mountain (June 22). 4. Hood's Attack at Atlanta (July 20, 22, 28). 5. His Western movement. 6. Battle of Franklin (Nov. 30). 7. Battle of Nashville (Dec. 15, 1 6). 8. Sherman's March to the Sea. 9. Capture of Fort M'AHister (Dec. 13). 10. Capture of Savannah (Dec. 24). 11. Battle of Olustee (Feb. 20). 12. Fort Pillow Massacre (April 12). 13. Red River Expedition (March and April). 14. Expedition against Mobile (Aug. 5)- 15. Expedition against Fort Fisher (Dec. 24, 25). 1. Northward march of Sherman (Feb.). 2. Capture of Columbus (Feb. 17). 3. Fall of Charleston (Feb. 18). 4. Battle of Averysboro (Mar. 15). 10. Events in 1865, South. ii. Events in East. 1865, IX. WAR OF REBELLION (MlSCELLA-' NEOUS). "I; i. Result 2. Incidents con- nected with the war. Battle of Goldsboro (Mar. 23). 1. Sheridan in the Shenandoah (May). 2. Attack on Fort Steadman (Feb. 25)- 3. Battle of Five Forks (April i). 4. Attack on Petersburg (April 2). 5. Petersburg and Richmond Falls (April 2, 3). 6. Retreat of Lee (April 3 to 9). 7. Surrender of Lee's Army (April 9). v 8. Surrender of Johnston (April 26). Abolition of Slavery (1865). Entire freedom of Country. Settlement of State Rights question. " i. Emancipation Proclamation (Jan. i, 1863.) 2. Death of Lincoln (April 14, 1865). 3. His Funeral (April 19, 1865). 4. Attempt on the life of Seward (April 14, 1865). 5. Execution of Conspirators. 6. Death of Wilkes Booth. 40 TREASURY OF FACTS. 2. Incidents con- nected with the- war. IX. WAR OF REBELL ION (MlSCELLA-' NEOUS). r \. In 3. Result of war. 2. In 3. In 7. Proclamation of Neutrality by England and France (May 13, 1861). 8. McClellan superseded by Burn- side (Nov., 1862). 9. Draft Riot (July 13-16, 1863). 10. Christian Commission. 11. The Trent Affair (Nov. 8. 1861). 12. Sanitary Commission. 13. Merrimac and Monitor (March 8, 1862). 14. Resignation of Scott (July, 1861). 15. Sioux War (1862). 16. Alabama and Kearsarge (July 19, 1864). 17. Paper Money ($2.80 in 1864). [ 18. Capture of Davis (May n, 1865). In Money ($2,749,000,000). 1. Killed 300,000. 2. Crippled for life 200,000. 3. Confederates 500,000. In Destruction of property. SECTION VIII. GEOGRAPHY. CHAPTER I. MATHEMATICAL. I. MATHEMATICAL. I. Terms. 2. Shape and size- of earth. Sphere. , Hemisphere. , Diameter. . Circumference. , Circle. , General shape. ( i , Proofs of rotun- dity. 3. Oblate Spheroid. C i. Degrees. < 2. Minutes. ( 3. Seconds. , By appearance of ships. .Shadow in Eclipse. C i rcumnaviga- tion. !i. Longest Di- ameter. 2. Shortest Di- 3. Circles of, situation. { ameter. Extent of Circumference. Extent of Diameter. Axis. Poles. 1 < i. North Pole. ' \ 2. South Pole. Their use. T^;- ( Their > names. ) 4. Motions of earth. (3- 3. Latitude. 4. Longitude. i. Rotation. 2. Revolution. 1. North Hemi- sphere. 2. South Hemi- sphere. Equator. Parallels. Meridians. II. North. 2. South. 3. How reckoned. 4. Length of Degree. 1. Prime Meridian. 2. East Longitude. 3. West Longitude. 4. Length of De- gree. 1. On what? 2. In what time ? 3. Result. 1 . Around what ? 2. In what time ? 3. Result. TREASURY OF FACTS. I. MATHEMATICAL. c r TV c j i- Of Cancer. 5. Climate )** * ( 2. Of Capricorn. PolarCircle,| . \ SSe 6. 7- 18. i- Situation. > characteristics . CHAPTER II. PHYSICAL. I. LAND. II. WATER. ~ . . ( i. Continents. ' Extent ' \ 2. Islands. ( i. Peninsulas. . Contour forms. ? 2. Capes. f 3. Isthmuses. Ci. Desert. ( i. Plains. < 2. Forest. {i. Low lands. \ (3. Prairies. ( 2. Valleys. r i. Plateaus | i. Desert. ( 2. Fertile. 2. High lands, -j ( i. Chains. ( 2. Mountains. \ 2. Ranges. ' i . Atlantic. ] ji ( 3. Systems. 2. Pacific. ^ f x Seas. 3. Indian. - c 2 Gulfs. i. The Ocean. 4. North- |-I^ 3 Bays. ern. f i. Chan- 5. South- ."S" [4 ern. j ^ Straits. ? nels. ( 2. Sounds. f i- Main Streams. V Tributaries. 2. Rivers. \ 3. Source. 4- Mouth. 15- Delta. ( i. 3/" / ,p/> c < . LMKes. ^ 2 Fresh. I. General Law. 2. / r /rj/ Modification. Altitude. 3. Second Mi *n-i}fgE & f its of air. 4. Third Moi i ifi ca, im . \-^ on. III. CLIMATE. IV. PLANTS. i. Tropical 5. Fourth Modification. Length of days, r i . Bread Fruit. | 2. Bananas. 3. "Palms. 4. Rice. GEOGRAPHY. 43 r i. Tropical. IV. PLANTS. t 5. Pine Apples. (6. 2. Warm Temperate. Caoutchouc, etc. 1. Tea. 2. Coffee. 3. Rice. 4. Wheat. 3. Cold Temperate. 4. Arctic. 5. Corn. 6. Potatoes. 7. Sweet Potatoes. 1. Barley. 2. Rye. 3. Oats. 4. Buckwheat. 5. Potatoes. r. Barley. 2. Turnips. 3. Dwarf Birches. 4. Alder. 5. Willows. V. ANIMALS. i. Temperate. i. Domestic. 2. Wild. 2. Tropical. 3. Arctic. 1. Lion. 2. Tiger. 3. Hippopotamus. 4. Peacocks. 5. Ostriches, etc. 1. White Bear. 2. Seal. 3. Walrus. 4. Reindeer. 5. Fur-bearing Animals. 1. Horse. 2. Sheep. 3. Camel. 4. Ox. 5. Goat. 6. Hen. 7. Geese. 8. Ducks, etc. 1. Buffalo. 2. Deer. 3. Wolf. 4. Jay. 5. Hawk etc. CHAPTER III. POLITICAL. i. Physical characteristics. 2. Representative type 3. Numbers. 600,000,000. 4. Si Eu 2. A 3. Hi 1. Features. 2. Color. 3. Hair. 4. Beard. Europeans. Arabs. Hindoos. 44 TREASURY OF FACTS. I. RACES OF MAN. 2. Mongolian. C i. Physical characteristics. Representative type. < : , Numbers. 589,000,000. 1. Features. 2. Color. 3. Hair. 4. Beard. , Chinese. . , Japanese. , Turks. i. Physical characteristics. 3. African. \ 2 4. Malay. 5. American. Features. 2. Color. 3. Hair. [4. Beard. Tribes of Africa. Negroes in America. 1. Features. 2. Color. 3. Hair. 4. Beard. 1. Inhabitants of Malacca. 2. East India Islanders. 3. Pacific Islanders. Numbers. 60,000,000. f i. Features. 1. Physical characteristics. \ 2 ' [4. Beard. 2. Representative ( Indians of North and South type. \ America. 3. Numbers. 11,000,000. ( i. Domestic. Representative type. 3. Number. 185,000,000. Physical characteristics. Representative type. rl. Animal. i. FOOD. i. Beasts. 2. Birds. d ( i. Forest. . \ 2. Prairie. 3. Fishes. 2. Wild game , Domestic. , Wild* i. Forest. game. \ 2. Prairie. 1. Sea. 2. Lake. 3. River. 2. Vegetable. i. Roots. 1 . Potatoes. 2. Onions. 3. Beets. [4. Turnips. Stalks and ( '" Sugar, leaves. 3. Grains. 4. Fruits. 2. Tea. ( 3. Cabbage, etc. 1. Wheat. 2. Barley. 3- Rye. 4. Corn. 5. Coffee, etc. 1. Apples. 2. Peaches. 3. Nuts. 4. Melons. GEOGRAPHY. 45 I. FOOD. 3. Mineral. II. PHYSICAL NEEDS O F MAN. :i. Salt. 2. Water. 3. Lime. 4. Iron. 2. CLOTHING. .3. SHELTER. III. NATIONS. i. European. f I. Animal. 2. Vegetable. .3. Mineral. A . / i. Animal 2. 3. Mineral. i. Europe. 2. Asia. .3. Africa. i. North America. 2. American. [ 2. South America, i. Characteristics. 1. Wool. 2. Fur. 3. Ivory. 4. Horns. 5. Leather. 1. Cotton. 2. Linen. 3. Gutta-percha. {i. Iron. 2. Steel. 3. Copper. 4. Brass. Skins. Woollens. r. Cotton. 2. Linen. 1. Brick. 2. Stone. 3. Paints. ^4. Glass. 11. England. 2. Russia. 3. France. 4. Spain, etc. 1. Turkey. 2. Persia. 3. Siberia, etc. 1. Soudan. 2. Zanguebar. 3. Cape Colony, etc. ' i. United States. 2. Mexico. 3. Canada, etc. 1. Chili. 2. Brazil. 3. Peru, etc. IV. STATES OF SOCIETY. i 2. Language. Spoken, i. Savage, j ^ Govtrnment.-Patriarchal. [4. Religion. Pagan. f i. Characteristics. 2 2. Half civilized. < i i. Spoken. ' \ 2. Written. 3. Civilized. \ 3. Government. Absolute Monarchy. [ 4. Religion. Buddhist. 1. Characteristics. < I. Spoken. 2. Language, j 2 w^uen. ,, . ( i. Republican. 3. Government, j 2 Monarchical. 4. Religion. Christian. TREASURY OF FACTS. V. OCCUPATIONS. VI. GOVERNMENT. 2. Seafaring. 3. Lumbering. 1. Fishing. 2. Navigation. 1. Cutting. 2. Hauling. 3. Sawing. - Coal. Gold. 4. Mining A 3. Silver. 4. Iron. [ 5. Lead, etc. i. For food. 5. Manufacturing. 1. Flour. 2. Syrup. 2. For clothing. 3. Sugar, etc. 3. Shelter. 6. Commerce. i. Foreign. 2. Domestic. i. Legislative. ( i. Imports. I 2 - ~ i. Republican. 2. Judicial. Exports. 1. By rail. 2. Canals. 3. Rivers. . Senate. . House of Rep- resentatives. 1. Supreme Court. 2. Circuit Court. \. Inferior Court. 3. Executive VII. RELIGION. 1. Absolute. 2. Limited. 2. Monarchical. \ 3. Kingdoms. 4. Empires. 5. Duchies, i. Roman Catholic. 1. Christian. \ 2. Protestant. 3. Greek Church. 2. Mohammedan. 3. Jewish. 4. Pagan. ( i. President. " ( 2. Vice-President. CHAPTER IV. LOCAL OR STATE GEOGRAPHY. ( i. By Latitude and Longitude 1 . C i. Oceans. I. POSITION OF STATE. < (i. Natural. < 2. Lakes. ( 2. By Boundaries. < (3. Rivers. IT OTTTTTMP \*. Regular. ( 2. Artificial. State lines. II. OUTLINE. < 2 Irregu i ar> C i. Length in miles. i. Definite size. < 2. Breadth in miles. III. EXTENT. I ( 3. A/ea. z. Comparative size. As to other States. GEOGRAPHY. 47 IV. COAST. [. Principal Indentations. \ ' 2. Principal Projections. \ ' 3. Adjacent Islands. 4/ Harbor. Peninsulas. Capes. (l. Characteristics. V. SURFACE. 4. Plains. C i. Level. < 2. Undulating. ( 3. Mountains. To what System. To what Range or Group. Interior or Boundary. Wooded. Grassy. Sandy. ii: VI. RIVERS. VII. LAKES. i: 2. Mountains. 3. Valleys. I 2 5. Direction of slopes. 6. Natural Curiosities. To what System. Description of particular rivers. Description. To what System. Length. Navigable. For Waterpower. 4. For Fish. Uses \ ' For Fishin S- / 2. For Commerce. i. y^J determined by Latitude. VIII. CLIMATE. IX. NATURAL VANTAGES. AD- X. INTERNAL IMPROVEMENTS. i. Altitude. 2. Proximity to Sea. 3. Great Lakes. . As modified by certain causes. 4. Winds. 5. Slope of Land. C i. Forests. 6. Nature of Soil. I. On the surface. 1 2. The soil. 3. Facilities 7. Forests, for transportation. i. Coal. 2. Iron. I. Useful min- 3. Salt. 2. Within the erals. 4. Building stone. 5. Copper, Lead. earth. etc. .2. Precious metals, s ' c:i ve |. 3. In the water. ;: Lake and River fish. ., , $ i. Local roads. ( *' J f\<!< Iroads. \ 2 Trunk Unes XI. OCCUPATIONS. 2. Canals. ( 3. Navigation by Lakes and Rivers. I Agriculture \ f ' ^ r P s ra . lsed - 1. 4f7l <r. | 2 g tock raisin g > ,- , t . \ i. Importance. 2. Manufacturing, j 2 Art l j des manufacture d. ,,. . j j. Metals, etc., found. 3. Mining. ^ 2 TQ what extent W orked. 4 8 TREASURY OF FACTS. XL OCCUPATIONS. XII. GOVERNMENT. 4- Lumbering. 5. Fishing. .6. Commerce. XIII. HISTORY. XIV. CITIES. j i. Location of Forests. \ 2. Method pursued. \ i. Locality of fisheries. \ 2. Kinds caught. 1. Exports. 2. Imports. 3. Means of transportation. 1. Names of Houses. 2. Session. 3. Length of term. Supreme Court. Circuit Court. Colonial Period. Territorial Period. Date of Admission. Subsequent growth and present Population, ( i. Population. 1. Capital. < 2. Industries. ( 3. Chief source of wealth. C i. Population. 2. Metropolis. < 2. Industries. ( 3. Chief source of wealth. C i. Population. .3. Other important Cities, < 2. Industries. ( 3. Chief source of wealth. i: 1. Legislative. 2. Executive. 3. Judicial. \ Early History. < SECTION IX. PHYSICAL GEOGRAPHY. CHAPTER I. GEOLOGY. I. GENERAL STRUCT- URE OF THE EARTH. II. CONTINENTS. III. ISLANDS. IV. MOUNTAINS. i. Earths. \ i. Vegetable mould. 2. Mineral earths. ( i. Silicious. < 2. Calcareous. i. Unstratified. ( 3. Argillaceous. 2. 3- Stratified. Fossiliferous U: Stratified. Unstratified. 4- Non-fossiliferous. \ i. Stratified. 2. Unstratified. f i. Unstrati- { I- Plutonic "!2.No d n-fossi- . 2. Rocks. < lifArrmc 2. Volcanic. 5. Igneous. <; fl Unstrati- fied. 2. Non-fos- ( siliferous. j i. Stratified. 6. Metamorphic. j 2 Non-fossiliferous. 1. Stratified. 2. Fossiliferous. 7. Aqueous. Eastern. 1. Europe. 2. Asia. Africa. .... j i. North America. Western. ^ 2 South America . r i. Continental. .2. Pelagic. x 3. Caroline. 1. 20,000 feet and up. 2. 10,000 to 20,000. 3. 2000 to 10,000. 4. Chains. 5. Ranges. 6. Systems. 1. Japanese. 2. British Islands. 3. West Indies. 1. Sandwich. 2. St. Helena. 1. Sabrina. 2. Nyoe. 3. Hotham. 1. Lagoon. 2. Encircling Reefs. 3. Barrier Reefs. 4. Infringing Reefs. i. Common. 2. Volcanic. TREASURY OF FACTS. V. VALLEYS. | Longitudinal. VI. PLATEAUS. VII. PLAINS. Transverse. j i. Desert. \ 2. Fertile. I. Wooded. 2. Grassy. 3. Desert. ( I. Forests. < 2. Selvas. ( 3. Heaths. (I. Prairies. 2. Llanos. 3. Pampas. 4. Steppes. 1. Llanos. 2. Steppes. 3. Landes. VIII. VOLCANOES. I. Central System. 1. Active. 2. Intermittent. 3. Extinct. 1. Active. 2. Intermittent. 3. Extinct. IX. EARTHQUAKES. 2. Linear System. 3. Mud Volcanoes. 4. Fires of Bokou. 5. Hochans. 6. Hotsing. 7. Geysers. C i. Horizontal. r. Linear. < 2. Vertical. ( 3. Rotary. C i. Horizontal. 2. Circular. \ 2. Vertical. 3. Rotary. I. SPRINGS. II. RIVERS. CHAPTER II. HYDROGRAPHY. 1. Perennial. 2. Intermittent. 3. Periodical. 4 . .&//. J ' s y racuse - N - Y. 2. Kanawha, Va. ( i. Saratoga, N. Y. 5. Mineral. \ 2. Sulphur, Va. 3. Blue Licks, Ky. 1. Arctic. 2. Antarctic. 1. Oceanic. \ 3. Pacific. 4. Atlantic. 5. Indian. 2. Continental. 3. Main Streams. 4. Tributaries. PHYSICAL GEOGRAPHY. III. LAKES. 6. Fresh. 1. Arctic. 2. Atlantic. IV. OCEANS. { 3 . Pacific. 4. Indian. 1. Those with inlet and no outlet. 2. Those with inlet and an outlet. 3. Those with no inlet but an outlet. 4. Those with no inlet nor outlet. 5. Salt. 1. North Atlantic. 2. South Atlantic. > KOC j r - Mediterranean Sea. 3. eastern, j 2 g^ gea ( i. Caribbean Sea. 4. Western. ? 2. Gulf of Mexico. ( 3. Honduras Bay. r Tr-,0, J * Gulf of California. 1. .Lasttrn. j 2 gea of Kamtschatka> ( i. China Sea. 2. Western, -j 2. Yellow Sea. ( 3. Japan Sea. 1. Bay of Bengal. 2. Persian Gulf. 3. Arabian Sea. [4. Red Sea. Antarctic. ( I. By the onward flow of the ocean's surface, i. Waves. < 2. By the Winds. ( 3. By the Earthquakes. r T TTI~>^ TVI ^ x - Spring Tide. J i. Flood Tide, j /gap Tide. 2 -^i. Ebb T M ,j--Wl e - 1. Under Currents. 2. Counter Currents. V. OCEANIC MOVEMENTS. .3. Currents. 3. Temporary rents. East Hurlgate, River. Cur--^ 2. Roost of Shum- burg, South Shetland. 1. The Antarctic Current. 2. The Equatorial Current of the Atlantic. 3. The Equatorial Current of the Pacific. 4. The Southern connecting Current. 5. Guiana and Can b b e a n Current. 6. Gulf Stream. 7. North Africa and Guinea Current. 8. Arctic Current. 9. Japan Current. 10. Saxgasso, or Grassy Sea. {i. Red Sea. 2. Persian Gu!f. 3. China Sea. 4. Indian Ocean. 4. Constant Currents. TREASURY OF FACTS. CHAPTER III. METEOROLOGY. I. ATMOSPHERE. ^- Dry air. II. TEMPERATURE. III. WINDS. 2. Periodical. 3. Variable. 4. Hot winds. 5. Cold winds. 6. Whirlwinds. 1. Oxygen, 20, or 21. 2. Nitrogen, 79, or 80. 2. Vapor of water. ( I . Temperature of a solid body. 2. Temperature of the atmosphere. ( 3. Temperature of a place. ~ , ( i. North-east. Constant or Trade. j 2 South . east " i. Land and sea j i. From the sea. breezes. \ 2. From the land, f i. North-east. 2. North-west. 3. South-east. 4. South-west. 4. Northers of Texas and Mexico. I i. South-west. \ 2. North-west. 1. Simoom. 2. Khamsin. 3. Harmattan. 4. Sirocco. 5. Solano. 1. Pamperos. 2. Northers of Texas and Mexico. 3. Bora. f i. Hurricanes. 2. Monsoons. 3. Etezian. 8. Moist winds. [ 4. 9. Dry winds. IV. MOISTURE OF THE ATMOSPHERE.- Tornadoes. 'I. Dew. I'f"' f i. Cirrus. ?' /-/;,/.. J 2 - Cumulus. 4. Cfc*. j 3 Stratus [4. Nimbus. f i. Rainless region. 5. Rain. < 2. Periodical rains, r 3. Frequent, i i. Glaciers. 6. Snow. -| 2. Icebergs, c 7. //a/7. ( 3. Avalanches. V. CLIMATE. i. Tierras Calientes. i. Elevation above the sea level. < 2. Tierras Templadas. 2. Slope of the land. ( 3. Tierras Frias. 3. Position of mountains and plains. 4. Vicinity of the sea. 6. Isothermal lines. 3. The warm. 4. The temperate. PHYSICAL GEOGRAPHY. 53 V. CLIMATE. 6. Isothermal lines. VI. ELECTRICAL NOMENA. PHE- 5. The cold. 6. The frigid. i. Electricity. \ '" Thunder. ( i. Zigzag. * ( 2. Lightning. < 2. Sheet. VII. OPTICAL PHENOMENA. 2. Mariners' light. 3. Aurora Borealis. 1. Rainbow. 2. Halos corona. 3. Mock suns. 4. Mock moons. 5. Mirage. 6. -Fa/a Morgana. 7. Ignis Fatuus. 3. Globular. CHAPTER IV. ORGANIC LIFE. r i. 2. 3- Cryptogamous. . End us . P H TcTm m ate. 5 ' \ * ^ogfnous. 4- Warm Temperate. I. BOTANY. 5- Cold Temperate. 6. Arctic. ' I . Quadrumana. 7- Food Plants. (i. Chieroptera. 8. Clothing Plants. 2 2. Insectivora. , T T~)r> i 9- Narcotics. 3. Digitigrada. j 1 1 ' ! 4. Plantigrada. ' ' < i. Mam- 3 . Marsupialia. malia. 4. Rodentia. 5 . Edentata. 6. Pachydermata. 7. Ruminantia. 8 . Marine Mam- t I. Amphibia. malia. } 2. Cetacea. r i. Rapaces. i. Verte- 2. Scansores. brated. 2. Birds. J 3> Oscines - 4. Galinacea. 5. Grallatores. 6. Natatores. II. ZOOLOGY. 3. Fishes. II. For food. 2. Other species. ^Re Pti U,. ''Chiles. , ,. venomous. 3! IroS^ i * H - mless - 2. Molluscuous. L 4. Turtles. 3- Articulated. 4- Radiated. f i. Europeans. III. ETHNOGRAPHY, i. Caucasian. < 2. Hindoos. ( 3. Whites of America. 54 TREASURY OF FACTS. III. ETHNOGRAPHY. 2. Mongolian. 3. Ethiopian. . 4 Malav \ Ig Inhabitants f M '* ( 2. New Zealanders, q American \ ' < 2. 1. Esquimaux. 2. Chinese. 3. Osmans of Turkey, etc. 1. Abyssinians. 2. Africans. 3. New Caledonians. Malacca. etc. Indians of North America. Indians of South America. CHAPTER V. LOCAL PHYSICAL GEOGRAPHY. I. COAST. i. Projections. \ l ' 1 2. Indentations. Peninsulas. 1. Seas. 2. Bays. 3. Gulfs. 4. Inlets. 5. Sounds. II. ISLANDS. III. MOUNTAINS. IV. LAKES. V. RIVERS. VI. GENERAL SURFACE. VII. SPRINGS. VIII. CLIMATE. 1. Continental. 2. Sea. 3. Lake. 4. River. 1. System. 2. Chain. 3. Range. 4. Boundary. 5. Interior. 6. Volcanoes. 1. 5iz//. 2. Fresh. 3. 70 w^a system. 1. Oceanic. 2. Continental. 3. Main streams. 4. Tributaries. $. Availability for navigation. 6. Availability for water-power. 1. Level. 2. Undulating. 3. Mountainous. 4. Nature of soil for Agriculture. 5. Natural Curiosities. 2. Temperate. 3. CW/ PHYSICAL GEOGRAPHY. 55 IX. RAINFALL. X. PLANTS. XI. ANIMALS r. Periodical. 2. Frequent. 3. Scanty. 7 or food. C i. Tropical. ' 2. Temperate. } 2. For clothing. ( 3. Arctic. 3. Narcotics. Domestic. Wild. 1. Precious metals. 2. Precious stones. 3. Ordinary stones. li XII. MINERALOGY.-* 1. Marble. 2. Granite. 3. Sandstone. i. Iron. 4. Ordinary metals. \ *' PP er - [ 4. Tin, etc. ( i. Coal. 5. Ordinary minerals. < '. ^6. Petroleum. ( 2. Salt. r. Anthracite. 2. Bituminous. 1. Springs. 2. Mines. SECTION X. GEOLOGY. CHAPTER I. ROCKS. i.Eozoic I. STRATIFIED, OR AQUE- OUS ROCKS. 1. Mica. 2. Mica Schist. 3. Saccharoid Limestone. 4. Talcose Schist. 5. Hornblende. 6. Quartz Rock. 7. Clay, or Argillaceous Slate. 8. Serpentine Rocks. 2. Palaeozoic. 3. Mesozoic. 4. Cetnozoic. II. UNSTRATIFIED, OR IGNEOUS ROCKS. Silurian Series. 2. Devonian Series. 3. Carboniferous Series. 4. Permian Series. 1. Triassic Series. 2. Jurassic Series. 3. Cretaceous Series. ( i. Eocene. 1. Tertiary. < 2. Miocene. ( 3. Pliocene. 1. Moraine Terraces. 2. S u b-a q u e o u s 2. Drift. ( Ridges. 3. Sea Beaches. 4. Sea Bottom. 1. Soil. 2. Clay. 3. Sand. 4. Peat. 5. Marl. 3. Alluvium. J 6. Calcare o u s Tufa. 7. Coral Reefs. 8. Deposits of skeletons of Infusoria. 1. Granitic Rocks. 2. Trappean Rocks. 3. Volcanic Rocks. . GEOLOGY. 57 CHAPTER II. VOLCANOES AND EARTHQUAKES, ETC. I. Intermittent. II. Phenomena of an eruption. III. Dynamics of volcanic action. IV. New islands formed by volcanic agency. V. Submarine volcanoes. VI. Character of molten lava. VII. Volcanoes constantly active. VIII. Seat of volcanic power. IX. Extinct volcanoes. EARTHQUAKES. Horizontal. I. CONCUSSIONS. -^ 2. Perpendicular. 3. Rotary. Linear. ' 2. Circular. THERMAL SPRINGS. I. Theory of thermal springs. II. 7^<? Geysers of Iceland. III. 7*^ //0/ Springs of Arkansas. IV. Tifo /fttf Springs of Rocky Mountains. CHAPTER III. FOSSIL REMAINS. I. SILURIAN SERIES. II. DEVONIAN SERIES. 1. Polypi. 2. Brachiopods. 3. Crinoids. 4. Echinodermata. 5. Crustacea. 6. Corals. 7. Fishes. 1. Animals. 2. Fishes. 3. Reptiles. 4. Ferns. 5. Stigmaria. 6. Sigillaria. 7. Rhyncholites. III. PERMIAN SERIES. Similar to above. 11. Plants. 2. Animals. 3. Reptiles. 4. Fishes. TREASURY OF FACTS. V. JURASSIC PERIOD. 1. Animals. 2. Insects. 3. Fishes. 4. Ichthyosaurus. 5. Pleiosaurus. 6. Iguanodon. 7. Pterodactyl. 8. Foot-marks. 9. Raindrops. 10. Fossil sponges. 11. Corals. 12. Crustaceous shells. 13. Reptiles. 14. Fruits. 1. Nummulites. SECTION XL BOTANY. CHAPTER I. PHENOGAMOUS (FLOWERING PLANTS). 1. Mallow Family. 2. Mimosa Family. 3. Rue Family. 4. Camellia Family. 5. Magnolia Family. 6. W^ter-lily Family. 7. Calycanthus Family. 8. Rose Family. 9. Moonseed Family. 10. Custard-apple Family. n. Crowfoot Family, r I. Stamens 12. Mignonette Family. more than 13. Fig-marigold Family. ten. 14. Pulse Family. 15. Barberry Family. 16. Rock-rose Family. 17. Caper Family. 1 8. Poppy Family. 19. Cactus Family. 20. Loasa Family. 21. Myrtle Family. I. Polypeta- \ 22 - Pitcher-plant Family. loiis. 2 3- Sundew Family. 24. Begonia Family. 25. Purslane Family, etc. 1. Magnolia Family. 2. Quassia Family. 3. Orpine Family. 4. Saxifrage Family. 5. Soapberry Family. 6. Leadwort Family. 7. Primrose Family. 8. Sterculia Family. 9. Vine Family. 10. Buckthorn Family. 11. St. John's Wort Fam- ily. 12. Fumitory Family. 13. Mustard Family. 14. Caper Family. I. EXOGENOUS \ 2. Stamens less than ten. 6o TREASURY OF FACTS. (i. Polype ta- lous. I. EXOGENOUS. 2. St amens less ten. I. Superior Calyx and Inf erior Ovary. 2. Monopeta- lous. 2. Superior Ovary and Inf erior' Calyx. 15. Passion Flower Fam- ily. 1 6. Violet Family. 17. Sundew Family. 1 8. Tamarisk Family. 19. Pittosporum Family. 20. Cashew Family. 21. Pink Family. 22. Water Wort Family. 23. Flax Family. , 24. Parsley Family. 25. Gourd Family. 1. Composite Family. 2. Lobelia Family 3. Campanula Family. 4. Whortleberry Family. 5. Valerian Family. 6. Honeysuckle Family. 7. Gesneria Family. 8. Storax Family. 9. Cinchona Family. 10. Madder Family. 11. Teasel Family. 12. Gourd Family. 1. Heath Family. 2. Pulse Family. 3. Polygala Family. 4. Fumitory Family. 5. Borage Family. 6. Nightshade Family. 7. Figwort Family. 8. Bladderwort Family. 9. Broom-rape Family. 10. Gesneria Family. 11. Bignonia Family. 12. Sesamum Family. 13.' Acanthus Family. 14. Vervain Family. 15. Mint Family. 1 6. Geranium Family. 17. Orpine Family. 1 8. Heath Family. 19. Ebony Family. 20. Storax Family. 21. Lead wort Family. 22. Primrose Family. 23. Sapodilla Family. 24. Nolana Family. 25. Dogbane Family. 26. Milkweed Family. 27. Four-O'clock Family. 28. Holly Family. 29. Plantain Family. BOTANY. 6l I. EXOGENOUS. 2. Monopeta- lous. 2. Superior Ovary and Inferior Calyx. 3. Apetalous. I. F lowers not in Cat- kins. II. ENDOGENOUS. 4. Gymnospermous. \ 2 ' i f I. Spadiceous. < - 2. Petaloideous 30. Logania Family. 31. Waterleaf Family. 32. Polemonium Family. 33. Heliotrope Family. 34. Convolvulus Family. 35. Dodder Family. 36. Olive Family. 1. Birthwort Family. 2. Evening Primrose Family. 3. Pink Family. 4. Loosestrife Family. 5. Witch-hazel Family. 6. Saxifrage Family. 7. Poppy Family. ' 8. Amaranth Family. 9. Chickweed Family. 10. Oleaster Family. 11. Laurel Family 12. Sweet-gale Family. 13. Plane-tree Family. 14. Fig Family. 15. Elm Family. 1 6. Mezereum Family. 17. Sandalwood Family. 1 8. Dogwood Family. 19. Buckwheat Family. 20. Crowfoot Family. 21. Lizzard's-Tail Family. 22. Hemp Family. 23. Goosefoot Family. 24. Water Milfoil Family. 25. Spurge Family. 26. Pokeweed Family. 27. Buck-thorn Family. "i. Nettle Family. 2. Pine Family. 3. Fig Family. 4. Mistletoe Family. 5. Walnut Family. 6. Birch Family. 7. Willow Family. 8. Plane-tree Family. 9. Oak Family. Cycas. Pine. Palm Family. Pondweed Family. Duckweed Family. 4. Cat-tail Family. 5. Arum Family. \ i. Water-plantain Family. ( 2. Yam Family. 2. Flowers in Catkins or Catkin-like heads. 62 TREASURY OF FACTS. II. ENDOGENOUS. 2. Petaloideous. 3. Glumaceous. 3. Frog's-bit Family. 4. Orchis Family. 5. Ginger Family. 6. Arrowroot Family. 7. Banana Family. 8. Iris Family. 9. Pineapple Family. 10. Amaryllis Family. 11. Pickerel-weed Family. 12. Lily (Trillium) Family. 13. Spiderwort Family. 14. Smilax Family. 15. Rush Family. 1 6. Arrow-grass Family. 17. Yellow -eyed Grass Family. 1 8. Pipewort Family. 19. Tillandsia, Pineapple Family. 20. Lily Family. 1. Rush Family. 2. Sedge Family. 3. Grass Family. CHAPTER II. CRYPTOGAMOUS (FLOWERLESS). I. Horse-tail. II. Fern. III. Club-moss. CHAPTER III. PARTS OF PLANTS. I. LEAVES. I. Parts. 2. Venation. 1. Blade. 2. Petiole. 3. Stipules. 4. Sheath. 5. Ligule. 6. Color. 1. Veinlets. 2. Vein. 3. Midrib. 4. Feather-vein. 5. Palmate. i. Entire. -3- Margin. 2. 4. Crenate. 5. Repand. BOTANY. I. LEAVES. 4. Base. 5. Apices. 1. Cordate. 2. Auriculate. 3. Hastate. 4. Sagittate. 5. Oblique. 6. Tapering. 7. Clasping. 8. Connate. 9. Decurrent. 1. Acute. 2. Acuminate. 3. Obtuse 4. Truncate. 5. Retuse. 6. Obcordate. 7. Emarginate. 8. Mucronate. 9. Cuspidate. ( i. Acute. 5. Lobes. < 2. Sub-acute. ( 3. Sinuses. 7. 8. Forms. 9. Petiole. 1. Sessile. 2. Stipulate. 3. Petiolate. / 4. Exstipulate. -j ' 1. Runcinate. 2. Bipinnatifid. 3. Pedate. 4. Curled. 5. Peltate. 6. Kidney-shaped. 7. Lyrate. 1. Round. 2. Half round. 3. Long. 1. Open. 2. Shut. 3. Sharp. 4. Deep. 5. Broad. 4. Short. 10. Surface. 1 1. Color. 1. Light. 2. Dark. 3. Spotted. 4. Striped. 12. Simple leaves. 13. Compound leaves. 1. Hairy. 2. Glabrous. 3. Smooth. 4. Rough. 5. Shiny. 6. Dull. '< i. Leaflet. 2. Petiolule. 3. Stipules. 4. Rachis. 5. Pinnate. 6. Digitate i {i. Free. 2. Adnate. 3. Prickly. 4. Ochreate. ( i. Abrupt. i 2. Unequally. ( 3. Cirrose. 1. Three-fingered. 2. Five-fingered. 3. Seven-fingered. 6 4 TREASURY OF FACTS. II. STEM. ( I. Node. 1. Parts of stems. < 2. Internode. ( 3. Axil of leaf. ( i. Terminal bud. 2. Appendages. < 2. Axillary. ( 3. Branch. 3. Position of leave* on stem. \ ScalTe'aves. C i. Alternate. 4. Arrangement of leaves on stem. < 2. Opposite. 1. Round. ( 3. Whorled. 2. Compressed. 3. Half round. 4. Fluted. 5. Acute angled. ). Altitude of stem. 7. G?/0r of stem. 8. Surface of stem. 5. Shape of stem. ' 6. Triangular. 7. Square. 8. Five-sided. 9. Four-angled. 1. Erect. 2. Drooping. 3. Creeping. 4. Trailing. 5. Climbing. 6. Twining. 1. Spotted. 2. Striped. 3. Light. 4. Dark. 5. Green. 6. Variegated. 1. Smooth. 2. Shining. 3. Hairy. 4. Glabrous. 5. Rough. 6. Dull. 1. High. 2. Low. 3. Slender. 4. Thick. r i. Hollow. LIO. Structure of stem. \ *; ^j y 4. Herbaceous. III. INFLORESCENCE. i. Kinds. c iv i ! Terminal. Solitary, j 2 AxUlary< 1. Terminal. 2. Axillary; It Clustered. Peduncle. Bracts. Involucre. Pedicel. BOTANY. III. INFLORESCENCE. Parts. Altitude. .4. Varieties. IV. THE FLOWER. Petals, V. ROOT. VI. SEED. i. Parts. Rachis. Receptacle. 1. Erect. 2. Bending. 3. Pendulous. 1. Spike. 2. Spadix. 3. Catkin. 4. Raceme. 5. Glomerule. 6. Corymb. 7. Umbel. 1. Receptacle. 2. Calyx. 3. Corolla. 4. Perianth. 5. Stamens. 6. Pistil. 1. Sepal. 2. Polysepalous. 3. Gamosepalous. 1. Limb. 2. Claw. 2. Polypetalous. 3. Gamopetalous. 4. Regular. 5. Irregular. 1. Regular. 2. Irregular. 1. Filament. 2. Anther. 3. Pollen. 1. Ovary. 2. Style. 3. Stigma. 1. Conical. 2. Fusiform. 3. Napiform. Si. Moniliform. 2. Fasciculated. 3. Tubercular. , TI~J , 5 * Embryo. 1. Body, j 2 Albumen . 2. Seed coat. 3. Nucleus. ' i. Head. 2. Calyx. 3. Corolla. 4. Perianth. 5. Stamens. 6. Pistil. i. Taproot. Cotyledon. Radical. Plumule. VII. WOODY PLANTS. 3. Shrub. 4- 1. Stock. 2. Bark. 3. Wood. 4. Pith. SECTION XII. I. PROTOZOA. ZOOLOGY. CHAPTER I. INVERTEBRATES. I. Gregarinidce. 3. Infusoria. II. CCELENTERATA. III. ANNULOIDA. 1. Monera. 2. Amoebea. 3. Foraminifera. 4. Radiolaria. 5. Spongida. Ciliata. Flagellata. Suctoria. i. Hydroida. i. Hydrozoa. \ 2. Corynida. 3. Sertularida. 1. Calycophoridse. 2. Physophoridas. 3. Lucernarida. 4. Pelagids. 5. Rhizostomidae. i. Zoantharia. 3. Acttnozoa. \ 2. Alcyonaria. Ctenophora. 1. Crinoidea (Feather- stars). 2. Ophiuroidea (Sand-stars). 3. Asteroida (Star-fishes). 4. Echinoidea (Sea-urchins). 5. Holothuroidea (Sea-cucum- bers). 1. Taeniada (Tape-worms). 2. Trematoda (Flukes). 3. Turbellaria (Ribbon-worms). 4. AcantHocephala (Th orn -headed worms). 5. Gordiacea (Hair-worms). 6. Nematoda (Round-worms). 7. Rotifera (Wheel-animalcules). Echinodermata. IV. ANNULOSA. . Anarthro- poda. i. Gephyrea. 2. Annelida. 1. Hirudinea (Leeches). 2. Oligochaeta , (Earth- worms). 3. Tub i col a (Tube- worms.) 4. Err ant i a (Sand- worms). ZOOLOGY. 6 7 IV. ANNULOSA. 2. Arthropoda. 1. Crustacea. 2. Rhizocephala. 3. Ichthyophthira. 4. Cirripedia. 5. Phyllopoda. 6. Amphipoda. 7. Decapoda. V. MOLLUSCA. I. Molluscoida. ( i. Podosomata. 3. Arachnida. ] 2. Pedipalpi. ( 3. Araneida. \ i. Chilopoda. 4. Myriapoda. < 2. Chilognatha. ( 3. Pauropoda. 1. Anoplura. 2. Mallophaga. 3. Thysanura. 4. Hemiptera. 5. Orthoptera. 6. Neuroptera. 7. Aphaniptera. 8. Diptera. 9. Lepidoptera. 10. Hymenoptera. ir. Strepsiptera. 1 2. Coleoptera. 1. Polyzoa. 2. Tunicata. 3. Brachiopoda. 5. Insecta, 4. Lamellibranchiata. 5. Gasteropoda. 6. Pteropoda. 7. Cephalopoda, I. PISCES. II. AMPHIBIA. III. REPTILIA. CHAPTER II. VERTEBRATES. 1. Pharyngobranchii. 2. Marsipobranchii. 3. Teleostei. 4. Ganoidei. 5. Elasmobranchii. 6. Depnoi. " i. Labyrinthodontia. (Extinct.) 2. Ophromorpha. 3. Urodela. 4. Anoura. 1. Chelonia (Tortoises). 2. Ophidia (Snakes). 3. Lacertilia (Lizards). 4. Crocodilia (Crocodiles). 68 TREASURY OF FACTS. {5. Ichthyopterygia. 6. Sauropterygia. 7. Pterosauna. 8. Anomodontia. ' i. Natatores (Swimmers). 2. Grallatores (Waders). 3. Cur sores (Runners). 4. Rasores (Scratchers). IV. AVES. 5. Scansores (Climbers). 1 i Extinct. f i. Penguins. 2. Gulls, j 3. Ducks. 4. Geese. [ 5. Flamingoes, etc. f i. Water-hens. 2. Cranes. 3. Herons. 4. Storks. 5. Snipes. 6. Woodcock. 7. Plovers. 8. Curlews, etc. 1. Ostrich. 2. Emeu. 3. Cassowary, etc. 1. Grouse. 2. Ptarmigan. 3. Partridges. 4. Pheasants. 5. Turkey. 6. Guinea fowl. 7. Domestic fowl. 8. Pea fowl. 9. Doves. 10. Pigeons, etc. 1. Cuckoos. 2. Woodpeckers. 3. Parrots. 4. Cockatoos. 6. Insessores (Perchers). 5. Parrakeets. 6. Toucans. 7. Trogons, etc. 1. Crows. 2. Magpies. 3. Jays. 4. Starlings. 5. Grosbeaks. 6. Larks. 7. Thrushes. 8. Orioles. 9. Wrens. 10. Martins. 1. Owls. 2. Hawks. 7. Raptores (Birds of prey), -j 3. Falcons. 4. Eagles. 5. Vultures, etc. ZOOLOGY. 69 IV. AVES. 8. Oscines (Singers). V. MAMMALIA. i. Monotremata. 2. Marsupialia (Pouched). 3. Edentata (Toothless). Robins. Humming-birds. Lark. Swallow. Sparrow. 6. Bluebird, etc. 1 . Duck moles. 2. Ant-eaters. 1. Kangaroos. 2. Phalangers. 3. Tasmanian devil. i. Sloths. Armadillos. Hairy Ant-eaters. 4. Sirenia. 5. Cetacea. 1. Manatus. 2. Dugong. :i. Whalebone whale. 2. Sperm whale. 3. Dolphins. 4. Porpoises. 4. Scaly Ant-eaters. 6. Ungulata (Hoofed). 7. Hyracoidta. 8. Proboscidea. Hyrax. 1. Rhinoceros. 2. Horse. 3. Ass. 4. Zebra. 5. Hippopotamus. 6. Hogs. 7. Peccaries. 8. Camels. 9. Llama. 10. Giraffe. ir. Stags. 12. Elk. 13. Sheep. 14. Reindeer. 15. Antelopes. 1 6. Oxen. 17. Buffalo. 1 8. Bison, etc. Elephants. ^ 9. Carnfvora (Flesh-eaters). 1. Seals. 2. Bears. 3. Raccoons. 4. Badgers. 5. Weasels. 6. Otters. 7. Civets. 8. Dogs. 9. Wolves. 10. Foxes. 1 1 . Hyena. 12. Cat. 13. Lynx. 14. Tigers, etc. 70 TREASURY OF FACTS. V. MAMMALIA. - 10. Rodent ia (Gnawers). ir. Chieroptera (Winged). 12. Insecttvora it 13. Quadrumana handed). 14. Bimana (Man). f I. Rabbits. 2. Hares. 3. Porcupines. 4. Beavers. 5. Mice. 6. Rats. 7. Squirrels. 8. Dormice, etc. fi. Bats. 2. Vampire bats. 3. Horse-shoe bats. 1. 4. Flying squirrels, etc. Shrew-mice. Hedgehog. (i. Spider Monkeys. 2. Baboons. 3. Ourang-Outang. 4. Chimpanzee, etc. SECTION XIII. I. THE BONES. PHYSIOLOGY. CHAPTER I. THE SKELETON. 1. Number of Bones. 2. Uses of the Bones. 3. Composition of Bones. 4. Structure of Bones. 5. Growth of Bones. 6. Repair of Bones. 7. Joints. 8. Classification of Bones. To protect delicate organs. Act as levers. Preserve the shape of body. - The Skull. .2. Trunk. r i. Spine. 2. Ribs. 1. Number of Bones. 2. Curvature. 3. Skull artic- ulate. Number. Uses. ibs. j L 3 .Hi P Bone,| 2: |^ 9. Upper Limbs. ' ST- | i'SjSt {I. Humerus. 3: SSL 4. Carpus. 10. Lower Limbs. 1. The Hip. i. Femur. ( i. Patella. 2. The Knee. ] 2. Tibia. ( 3. Fibula. I. Tarsus. The Foot. i J . Diseases of the Bones. 2 - Metatarsus. 3 Phalan g es . 4. Deformities. 1. Rickets. 2. Felon. 3. Bow-legs. 4. Curvature of Spine. 5. Sprains. 6. Dislocation. 7. Fracture. TREASURY OF FACTS. CHAPTER II. THE MUSCLES. ( i. Voluntary. \ 2. Involuntary. I. THEIR NUMBER. II. THEIR USE. III. THEIR ARRANGEMENT. IV. THEIR KINDS. V. THEIR STRUCTURE. VI. TENDONS. VII. AS LEVERS OF THE BODY. VIII. ATTACHED AT THE JOINTS. IX. THEY ENABLE us TO STAND ERECT. X. MUSCULAR SENSE. XI. EXERCISE NECESSARY. XII. TIME TO EXERCISE. XIII. KINDS OF EXERCISE. XIV. DISEASES OF THE MUSCLES. 1. St. Vitus's Dance. 2. Convulsions. 3. Locked-jaw. 4. Gout. 5. Rheumatism. 6. Ganglion. 7. Lumbago. CHAPTER III. THE INTEGUMENT, OR SKIN. I. THE STRUCTURE OF THE SKIN II. THE USE OF THE SKIN. III. EFFECT ON COMPLEXION. IV. APPENDAGES OF THE SKIN. V. THE GLANDS OF THE SKIN VI. BATHING NECESSARY. VII. DISEASES OF THE SKIN. ii The Hair. The Nails. The Mucous Membrane. 1. The milk teeth. 2. The permanent. 3. The structure. 4. Their positions. 5. Their decay. 6. Their preservation. 4. The Teeth. The Oil Glands. The Perspiratory. i. Perspiration. Absorbing properties. Reaction. Sea bathing. Clothing. Erysipelas. Dropsy. Corns. Warts. Chilblains. Deformities of nails. PHYSIOLOGY. 73 CHAPTER IV. RESPIRATION. I. ORGANS OF RESPIRATION. II. RESPIRATION. \ i. Inspiration. \ 2. Expiration. 1. Trachea. 2. Bronchial tubes. 3. Lungs. 4. Pleura. 5. Cillia. III. MODIFICATIONS OF THE BREATH. IV. CAPACITY OF LUNGS. V. NECESSITY OF AIR. VI. ACTION OF AIR. VII. REBREATHING. VIII. VENTILATION. IX. DISEASES OF LUNGS. ! r. Sighing. 2. Sneezing. 3. Coughing. 4. Snoring. 5. Laughing. 6. Crying. 7. Hiccough. 8. Yawning. 1. Constriction of the Lungs. 2. Bronchitis. 3. Pleurisy. 4. Pneumonia. 5. Consumption. 6. Asphyxia. 7. Diphtheria. 8. Croup. CHAPTER V. THE VOICE. t. Lungs. I. ORGANS OF VOICE. 1 2. Glottis. II. VOCAL CORDS. ( 3. Epiglottis. III. TONES OF THE VOICE. IV. SPEECH. CHAPTER VI. CIRCULATION. I. ORGANS OF CIRCULA- TION. i. The Heart. 1. Diastole. 2. Systole. 1. Movements. 2. Auricles. 3. Ventricles. Si. Tricuspid. 2. Bicuspid. 3. Semi-lunar. Arterial system. 2. The Arteries. j l ' The Pulse 3. Veins. 4. Capillaries. 74 TREASURY OF FACTS. II. THE USES OF BLOOD. III. TRANSFUSION OF BLOOD. IV. COAGULATION. V. LESSER CIRCULATION. VI. GREATER CIRCULATION. VII. VELOCITY OF THE BLOOD. VIII. DIFFUSION OF HEAT BY THE BLOOD. IX. CHANGE OF TISSUE. X. THE VITAL ORGANS. XL LYMPHATIC CIRCULATION j ( i. Lymph. ( 2. XII. DISEASES OF BLOOD. Use of Lymphatics. 1. Congestion. 2. Inflammation. 3. Bleeding. 4. Scrofula. 5. Colds. 6. Catarrh. I. SOURCES OF FOOD. II. ORGANIC FOOD. 1. Albuminoids. 2. Fats and Oils. CHAPTER VIL FOOD. i i. The earth. [ 2. The atmosphere. f i. Albumen. 2. Fibrin. 3. Glutin. 4. Casein, i. Sugar. 3. Sugars. 1 2. Starch. ( 3. Gums. 1. Water. 2. Salt. 3. Lime. III. INORGANIC FOOD. " 4. iron. 5. Soda. 6. Potash. 7. Magnesia, II. Spices. 2. Flavors. 3. Tea. 4. Coffee. 5. Acids. C i . For waste and repair. V. PROPER FOOD NECESSARY. < 2. For hunger and thirst. ( 3. In quantity. Cooked. 1. Milk. 2. Eggs. 3. Meats. 4. Fish. IV. STIMULANTS. VI. MIXED FOOD. VII. KINDS OF FOOD. Raw. i. Animal. PHYSIOLOGY. 75 {i. Bread. 3' Fruit ' 4. Alcohol. CHAPTER VIII. DIGESTION. III. MASTICATION, j *' IV. GASTRIC DIGESTION, j 1 2 ' I. NECESSARY FOR ASSIMILATION OF FOOD. II. MANNER OF DIGESTION. Saliva. Swallowing. The Stomach. Gastric Juice. ( i. Bile. V. INTESTINAL DIGESTION. < 2. Pancreatic Juice. VI. ABSORPTION. ( 3. Small Intestines. VII. THE NATURE OF DIGESTION. VIII. THE TIME REQUIRED. IX. COOKING FOOD AIDS THE DIGESTION. X. RAPID EATING RETARDS DIGESTION. XI. AMOUNT OF FOOD TAKEN. XII. TIME IT SHOULD BE TAKEN. XIII. MANNER OF EATING. XIV. FOOD SHOULD BE CHANGED. XV DISFASES J ' Dyspepsia. AV. DISEASES. j 2 Mumps CHAPTER IX. THE NERVOUS SYSTEM. I. THE BRAIN. II. THE CEREBRUM. III. THE CEREBELLUM. IV. THE SPINAL CORD. V. THE TRANSFER OF PAIN BY THE NERVES. VI. SPINAL NERVES. 1. Olfactory. 2. Optic. 3. Motores oculi. 4. Tri-facial. VII. CRANIAL NERVES. * |- ^Sory 7. Glos-so-pha-ryngeal. 8. Pneumogastric. 9. Accessory, ro. Hypoglossal. 7 6 TREASURY OF FACTS. VIII. SYMPATHETIC SYSTEM. 1. Crossing cords. 2. Reflection. 3. Brain exercise. 4. Sleep. 5. Alcoholic effects. 6. Sunlight necessary. 1. Excitement. 2. Muscular weakness. 3. Mental weak- ness. CHAPTER X. SPECIAL SENSES. 1. Use of Touch. 2. Delicacy of Touch. 1 . Location of the Taste. 2. Uses of the Taste. 1. Nostrils. 2. Necessity of Smell. ( i. External. ( i. The Ear. -j 2. Middle. 2. Sound Waves. ( 3. Internal. 3. Care of the Ear. 1. Eyelids. 2. Tears. 3. The Retina. 4. How we see. 5. Near Sight. 6. Far Sight. I. THE TOUCH. II. THE TASTE. III. THE SMELL. IV. THE HEARING. V. THE EYES, OR SENSE OF SIGHT. 7. Care of the Eyes. , 8. The protection of the Eyes. CHAPTER XL HEALTH AND DISEASE. I. NATURE OF DISEASE. II. HOW TO PREVENT DISEASE. III. HOW TO CURE DISEASE. IV. DEATH. V. DECAY. SECTION XIV. NATURAL PHILOSOPHY. CHAPTER I. MATTER. I. IMPONDERABLE. II. PONDERABLE. 1. Solid. 2. Fluid. . . d. \ I 2 Aeriform. IV. PROPERTIES OF MATTER.- 2. Liquid. I. Universal. 2. Accessory. 1. Gases. 2. Vapors. 1. Extension. 2. Figure. 3. Impenetrability. 4. Indestructibility. 5. Inertia. 6. Divisibility. 8. Compressibility 9. Expansibility. 10. Mobility. 11. Gravitation. 'i. Cohesion. 2. Adhesion. 3. Hardness. 4. Tenacity. 5. Elasticity. 6. Brittleness. 7. Malleability. 8. Ductility. CHAPTER II. MECHANICS. I. FORCE. i. Rest. 2. Motion. Absolute. Relative. 1. Absolute. 2. Relative. 3. Velocity. C i. Uniform. 4. Kinds. < 2. Accelerated. 5. Momentum. ( 3. Retarded. 6. Striking force. 7. Centrifugal force. 8. Simple motion. 9. Resultant motion. 10. Reflected. n. Action and reaction. 12. Laws of motion. (See over.) TREASURY OF FACTS. i si Law. A body at rest remains at rest ; a body in motion moves in a straight line with uniform velocity, unless acted upon by some external force. 2</ Law. A given force always produces the same effect, whether the body upon which it acts is in motion or at rest ; whether it is acted upon by that force alone or by others at the same time. 3</ Law. Reaction is always equal to action, and opposite to it in di- rection. 1. Direction. ( I. Weight above the earth's surface. 2. At different parts of the surface. 'All objects weigh most at the 2. Weight. \ surface of the earth. Ascend- ing from the surface, their weight diminishes as the square 3. Law. * of their distance from the cen- tre increases ; descending tow- ards the centre, their weight diminishes as their distance from the surface increases. The force of gravity increases as the amount of matter increases. The force of gravity decreases as the square of the distance increases. Gravity gives a falling body II. GRAVITY. 3. Laws of Gravity. \ V 4. Falling Bodies. i. Law. a certain velocity in the first second of its descent ; and still forcing it down- ward, it increases that ve- locity in the following sec- onds till it reaches the earth. 2. Bodies thrown downward. 3. Parachute. . 4. Ascending bodies. 5. Projectiles. (6. Pendulum. The force by which it was thrown. Gravity. Resistance of the air. Forces acting upon projectiles. , Path of projectiles. , Random. 4. Gunnery. 1. Application to clock-work. 2. Gridiron Pendulum. 3. Laws of Pendulum : ist Law of Pendulum, or Vibration. The vibrations of a given pendu- lum are performed in very nearly the same time, whether it moves through longer or shorter space. zd Law. The vibrations of pendulums of different lengths are performed in different times ; and their lengths are proportioned to the squares of their times of vibration. ^d Law. The vibrations of the same pendulum are not performed in the same time at all parts of the earth's surface ; but, being caused by grav- ity, differ slightly, like gravity, according to the distance from the earth's centre. NATURAL PHILOSOPHY. 79 II. GRAVITY. f I. How found. 12. Stability of bodies. 3. Effect of Rotary motion. 4. Centre of gravity in man. 5. Equilibrium. 1. Gravity. 2. Springs. 3. Strength of man. 4. Wind. 5. Water. 8. Motive Power. 9. Resistance, -it 6. Steam. Units of work. Horse-power. Friction. III. MACHINES. 1. Perpetual motion. 2. Law of machines. I. Levers class. 2. Levers of class. i. Law. i. Sliding. I 2. Rolling. ( 3. Modes of lessening. fWhat a machine gains in (amount of work, it loses in time; and what it gains in time, it loses in amount of work. Advantages of using machinery. ( i. Lever. (See below.) 2. Wheel-and-Axle. (See below.) 3. Pulley. (See over.) 4. Mechanical 4. Inclined Plane. (See over.) Powers. 5. The Wedge. (See over.) 6. The Screw. (See over.) 7. Wheel-work. (See over.) With levers of the first kind, inten- sity of force is gained, and time is lost, in proportion as the dis- tance between the power and the fulcrum exceeds the distance be- of the first I tween the weight and fulcrum. 2. Balance. 3. Steelyards. 4. Bent levers. 5. Compound levers. f With levers of the second class, intensity , j of force is gained, and time lost, in pro- \ portion as the distance between the power and the fulcrum exceeds the dis- [ tance between the weight and fulcrum. C With levers of the third class, intensity of force is lost, and time gained, in pro- portion as the distance from the weight to the fulcrum exceeds the distance from the power to the fulcrum. IWith the wheel-and-axle. intensity of force is gained, and time lost, in proportion as the circumfer- ence of the wheel exceeds that of the axle. the \ 3. Levers of the third class. \ 2. Wheel-and-axle. I. Law. So TREASURY OF FACTS. j i. ( 2 - Capstan. Windlass. 3. Pulley. f 2. Wheel-and-axle. 2. Different forms. 1. Fixed. 2. Movable. rtir^u -11 t_ i White's I mova k' e pulleys, a power will bal- ' T ance* a weight as many times greater than itself as twice the number of mov- [ able pulleys employed. i. Bodies rolling down a plane. With an inclined plane, intensity of f rce i g gained, and time lost, in proportion as its length exceeds its [ height. First kind of wedge. Second kind of wedge, mr-.., ... , AJ..- .-A, fWith a given thickness, f i. Bodies n 4. Inclined plane. < ( 2. Law. I 5. The wedge. 6. The screw. 7. Wheel-work. | 3. Advantages of [ 4. Law of Wedge. the longer the wedge, the easier it will pene- trate. 1. The Convex. 2. The Concave. 3. Advantages of the screw. 4. Hunter's Screw. 5. Endless Screw. f i. Modes of connection. 2. Rack and Pin. j 3. Forge Hammer, j 4. Cranks. 5. Fly-wheels. [ 6. Clocks and Watches. 1. Nature of liquids. 2. Law. Water always, at rest, finds its level. 3. Artesian wells. 4. Springs. i. Friction. 2. Bands. 3. Teeth. i i. Spur. < 2. Crown. ( 3. Bevel. IV. HYDROSTATICS. 1. Clock-work. 2. Watch- work. 5. Locks. 6. Spirit Levels. 7. Pressure of liq- uids. Laws : Liquids, subjected to pres- sure, transmit it undimin- ished in all directions. Liquids, influen c e d by \ gravity alone, press in all directions. The pressure of liquids in every direction is propor- tioned to their depth. 8. Hydrostatic Paradox. 9. Hydrostatic Bellows. 10. Hydrostatic Press. 11. Specific Gravity of Liquids. Hydrometer. 1 2. Specific Gravity of Solids. 13. Specific Gravity of Gases. ' i. Cause. 14. Capillary Attraction. 2. Examples. 3. Laws. (See below.) 4. Floating bodies 5. Endosmose. 6. Exosmose. 1st Law of Capillary Attraction. Different liquids rise to different heights in tubes of the same size. NATURAL PHILOSOPHY. 81 id Law. The same liquid always rises to the same height in a tube of given size, and this height is proportioned to the fineness of the bore. Si. Velocity. 2. Course. 3. Volume. 2. V. HYDRAULICS. i. Flowing through) ~. ^ ( i. Waves. , , ,-.., pipes and streams. Rlvers " 2. Tides. '' E . bb ' f i. Propulsion of Boats. < 2 ' Flow - .3. Water- Wheels. Machines for raising water. 3. Archimedes' Screw. 4. Chain Pump. 5. Hydraulic Ram. CHAPTER III. PNEUMATICS. I. ELASTIC FLUIDS. i. Vacuums. II. AIR. j i. Gases. \ 2. Vapors. f i. Compressible. [ 4. Mariotte's law. The greater the pressure to- which the fluids are sub- jected, the less space they occupy and the greater their density. 3. Atmospheric pressure. Barometer. ] * ,J>, 'i 4. Densit o air at dierent levels. 4. Density of air at different levels. 5. Effect of heat on air. \ ' Single-barrelled. Double-barrelled. Experiments. ' i. Siphon. 2. Tantalus's Cup. 3. Lifting Pump. 4. Forcing Pump. 5. Fire Engines. 6. Centrifugal Pump. 7. Stomach Pump. 6. Air Pump. 17. Condenser. III. PNEUMATIC MACHINES. CHAPTER IV. PYRONOMICS. I. NATURE OF HEAT, j ' II. SOURCES OF HEAT. Sensible. Latent. 3. Chemical action. \ \' Combustion .i Electricity. U Animal heat. TREASURY OF FACTS. r i III. DIFFUSION OF HEAT. - IV. EFFECTS OF HEAT. By Con- duction. 2. Bad Con- ductors. 2. By Convection. i. Good Conductors. Solids. 1. Porous bodies. 2. Fibrous bodies. 3. Liquids. 4. Gases. 5. Vapors. 3. Conducting power of Solids. 4. Conducting power of Liquids. 5. Conducting power of Gases. 6. Conducting power of Vapors. , By Radia- tion. i. Law. 1. Expansion. 2. Liquefaction. 3. Vaporization. 4. Condensation. 5. Incandescence. 6. Specific heat. 7. Steam. Radiant heat dimin- ishes in intensity as the square of the distance from the radiating body increases. 2. Reflection. 3. Absorption of Radiant heat. 4. Transmission of heat. 1. Of Solids. 2. Of Liquids. 3. Of Gases. 4. Of Vapors. 1. Thermometer. 2. Differential. 3. Pyrometer. 1. Generation of steam. 2. Condensation. 1. Hero's Engine. 2. De Garay's Engine. 3. De Cause & Branca's. 4. Papin's. ( i. Boiler. 3. Steam- Engines. 5. Watt's. 2. Safety-valve. (l. High 1 3. Kinds. I Pressure ' 2. Low Pressure. 6. Newcomen's. i. Stationary. Uses of Engines. -| 2. Marine. 3. Locomotive. CHAPTER V. OPTICS. I. NATURE OF LIGHT. 2.' Deduction. \ ' Self-luminous bodies. ( 2. Non-luminous bodies. 3. Transmission oA l ' Transparent bodies. j- L f \ 7 - Translucent bodies. ( 3. Opaque bodies. 4. The Media. NATURAL PHILOSOPHY. II. SOURCES OF LIGHT. III. PROPAGATION OF LIGHT. 1. Sun and Stars. 2. Chemical Action. 3. Mechanical Action. 4. Electricity. 5. Phosphorescence. 1. Light radiates from every point of a luminous sur- face in every direction. 2. In a uniform medium, light is propagated in straight lines. 3. Velocity. 4. Law of intensity. The intensity of light diminishes according to the square of the distance from the lu- IV. SHADOWS. Penumbra. V. REFLECTION AND RE- FLECTING SURFACES. minous body that produces it. i. Mirrors. 2. Law of reflection. 3. Images. 4. Reflection from Mirrors. VI. REFRACTION LIGHT. OF 3. Double Convex. 4. Piano-Convex. Concavo-Convex. Meniscus. I 4- ll: Plane. 2. Concave. 3. Convex. The angle of reflec- tion is equal to the angle of inci- dence. 1. From Plane. 2. Kaleidoscope. 3. Concave Mirrors. [ 4. Convex Mirrors. 1. By Atmosphere. Mirage, f i. Double Concave. I 2. Piano-Concave. 2. By Prisms and Lenses. i. Classes of Lenses: 3. By Convex Lenses. 4. By Concave Lenses. 5. By Multiplying Glass. [ 6. Double Refraction. \st Law of Refraction. In a uniform medium, there is no refraction. It is only on passing from one medium to another, that a ray is turned from its course. 2d Law. Only such rays as enter a medium obliquely are refracted, not such as enter at right angles. ^d Law. When a ray passes obliquely from a rarer to a denser me- dium, it is refracted towards a line perpendicular to the surface. 4*A Law. When a ray passes from a denser, into a rarer medium, it is refracted from the perpendicular. VII. POLARIZATION OF LIGHT. ' i. Solar Spectrum. 2. Difference of color. 3. Complementary colors. 4. Properties of the Spectrum. 5. Dark lines in the Spectrum. 6. Dispersion of Light. 7. Achromatic Lenses. VIII. CHROMATICS. IX. VISION. 8. Rainbow. \ 9. Haloes. The Eye. Parts of eye. Cornea. Iris. Pupil. 4. Aqueous matter. 5. Crystalline lens. TREASURY OF FACTS. IX. VISION. 2. Defects of vision. 3. Images formed on Retina. 4. Visual angle. 5. Adaptation of the eye. 1. Camera Obscura. 2. Microscope. 6. Vitreous matter. 7. Retina. 8. Choroid Coat. 9. Sclerotic Coat. 10. Optic Nerve. X. OPTICAL INSTRUMENTS. 3. Magic Lantern. 1. Single. 2. Compound. 3. Solar Microscopes. r. Phantasmagoria. 2. Dissolving views. CHAPTER VI. ACOUSTICS. I. NATURE OF SOUND. II. ORIGIN OF SOUND. III. TRANSMISSION OF SOUND. IV. VELOCITY OF SOUND. V. DISTANCE TRANSMITTED. 1. Speaking Trumpet. 2. Stethoscope. VII. INTERFERENCE OF SOUND, i i. Echoes. VIII. REFLECTION OF SOUND. < 2. Ear Trumpets. ( 3. Whispering Galleries. 1. Loudness. 2. Pitch. 3. Quality. f I . Stringed. VI. ACOUSTIC TUBES. IX. MUSICAL SOUNDS. X. MUSICAL MENTS. INSTRU- Kinds. XI. GAMUT. XII. HARMONY. XIII. HUMAN VOICE. XIV. THE VOICE XV. HUMAN EAR ut i i (3- 1. Pianos. 2. Harps. 3. Violins, etc. ( i. Organ. ] 2. Flute. [ 2. Wind. 1 ( 3. Fife, etc. ( 2. Manner of producing sound. 1. Vocal Organs. 2. Vocal Chords. 3. Ventriloquism. 4. Stammering. INFERIOR ANIMALS. Outer Ear. Inner Ear. Drum. NATURAL PHILOSOPHY. 85 CHAPTER VII. ELECTRICITY. OF FT FPTRiriTv rY ' f i. Developed by Friction. 2 ' Devel P ed b Y Chemical Action. 3. Developed by Magnetism. 4. Developed by Heat. II. ATTRACTION AND REPULSION. III. NATURE OF ELECTRICITY. IV. CONDUCTION. Insulators. V. PATH OF THE CURRENT. VI. VELOCITY OF ELECTRICITY VII. ELECTRICAL MACHINES. 1. Cylinder machine. 2. Plate. 3. Insulating Stool. 4. Leyden Jar. 5. .Battery. VIII. MECHANICAL EFFECT OF THE PASSAGE OF ELECTRICITY. IX. IGNITION BY THE ELECTRIC SPARK. X. ELECTROPHOROUS. XI. ELECTROSCOPES. XII. ELECTROMETERS. XIII. ELECTRICAL INDUCTION. XIV. ELECTRICITY FROM STEAM. XV. ATMOSPHERIC ELECTRICITY. XVI Voi TAir FI FPTRiriTY XV II GALVAN?S THE *- ORY. XVIII. VOLTA'S THEORY. XIX. GALVANIC BATTER- IES. XX. THERMO-ELECTRIC- ITY. *' <. , . * %: ^ ,,<<: *< r i ;**,. 3- Ftre Balls - \ r - Effects of lightning. 4 " *&***& ] 2 - Lightning Rods. Dry Piles. ( 3. Thunder. Quantity and Intensity. Theory of the Battery. Difference between fru Electricity. 5. Effect of Voltaic. 1. How produced. 2. Batteries. fictional and Voltaic f i. Decomposition. I 2. Protection of metals. Luminous and Heat- ing. Physiological. CHAPTER VIII. MAGNETISM. I. NATURAL MAGNETS. i. 2. 3. II. ARTIFICIAL MAGNETS. Poles. Power. Armature. | J; needles> III. PROPERTIES OF THE MAGNET. IV. LAW OF ATTRACTION. 1. Attraction. 2. Polarity. 3. Magnetic variation. 4. Magnetic Dip. 5. Compass. ( Magnetic attraction decreases in intensity as < the square of the distance from the magnet ( increases. 86 TREASURY OF FACTS. VIII. THE PRODUC- TION OF ARTIFI- CIAL MAGNETS. V. LAW OF POLARITY. Like poles of magnets repel each other, and unlike poles attract each other. VI. THEORY OF MAGNETISM. VII. TERRESTRIAL MAGNETISM. Magnetic intensity. ' I . By Induction. 2. By the Sun's rays. f i. Magnets in needles. 3. By Contact with a Mag- I 2. In Horseshoes. net. 1 3. In Bars. [4. By Electric currents. [4. With currents. 1. Effect of electrical currents. 2. Connection between electricity and magnet- ism. 3. Electro-magnetic rotation. 4. Effect of electric currents upon Steel and Soft Iron. (i. Magnetizing power of the 5. The Helix. \ Helix. ( 2. Electro-magnets. 6. Electro-magnetism as a power. i 7. Electro-magnetic telegraph. 8. Electro-magnetic clocks. [ 3. 9. Electro-magnetic Fire Alarms. [ 10. The Helix a magnet. X. ELECTRICITY. Magnets. XI. DlAMAGNETISM. IX. ELECTRO-MAG- NETISM. Morse's. House & Bain's. Submarine. CHAPTER IX. ASTRONOMY. I. FUNDAMENTAL FACTS. II. THE SOLAR SYS- TEM. I. The Sun. 1. Space is filled with worlds, etc. 2. These are divided into systems. 3. The Stars are Suns. 4. Some have satellites. 5. The Earth is a planet. f i. Solar spots. 2. Constitution of the sun. 3. Motions of the sun. { 4. The Zodiacal light. ( i. The Orbits of the Planets. 2. The Planets. < 2. Bode's Law. ( 3. Kepler's Laws : ist Law. The Orbits of the planets are ellipses having one focus in common, and in this com- mon the sun is situated. -id Law. The radius Vector of a planet passes over equal areas in equal times. 3</ Law. The squares of the planet's times of revolution around the sun, are proportioned to the cubes of their distances from the sun. The Planets \ ^' ^ ea " anc * apparent motions of ' / planets. 2. NATURAL PHILOSOPHY. i. Quadrature. w tfl H fS. The Aspect of the on " Planets. ' T?Sts [ 5. Occultation. I.Mercury, f i. Its Motions. 2. Venus. j 2. Its Orbit. 3. The Earth. 3 " Horizon, Zenith and Nadir. j 4. Eclipse. 5. Zodiac. [ 6. Change of Seasons. Si. Size. 2. Motions. 3. Phases. 6. The Planets themselves. 6. The Asteroids. 7. Jupiter. 8. Saturn. 9. Uranus. 10. Neptune. , ^a , 11. Real and apparent po- '5* f Re- sition of these Heavenly 2 Effects of Par . I M H 1 1L S. , , i f , ti 12. Eclipses. J1-2JSK: ^ allax - ( 2. Ot Moon. (i. Constitutions. 2. Orbits. 3. Velocity. Fixed Stars, Galaxy. Nebula. -i* (3- 4. Number. Magnitudes. Constellations. Distances from the earth. CHAPTER X. METEOROLOGY. I. THE WIND ( I. Velocity, Kinds. II. ATMOSPHERIC MOISTURE. 1. Constant. 2. Periodical. 3. Variable. 1. Fog. 2. Clouds. \ 3. Dew. 4. Rain. 5. Snow. 6. Hail. i\. Hurricanes. 2. Tornadoes. 3. Waterspouts. 1. Nimbus. 2. Cumulus. 3. Cirrus. 4. Stratus. SECTION XV. MENTAL PHILOSOPHY. CHAPTER I. EMPIRICAL PSYCHOLOGY. I. THE ATTAINMENT OF FACTS. ^ i. Fix the attention upon a fact. < 2. Compare facts. ( 3. Analyze Complex facts. i. Facts must come within Con- II. FINAL RULE FOR DISPUTED FACTS. III. CLASSIFICATION OF FACTS. , The general facts of the mind. 2. Original facts of the mind. sciousness. 2. The decision must be general. 3. It must be unbiassed. 1. The existence of the mind. 2. This existence not ideal. 3. The conscious identity through change. 4. The mind self-active. 5. Discriminates itself from its objects. 1. Sensation. 2. Consciousness. f i. Intellectu- 3. Capacity for | al state, knowing, feel- I 2. Emotional ing and will- j state. ing. I 3. Willing state. CHAPTER II. INTELLECT. Observation. I SENSE \ '' ExternaL \ 2. Attention. 1. or.-SM-.. \ i ( 2. Internal. Fancy. 1. Memory. 2. Conception. 3. Association. 4. Abstraction. 5. Reflection. 6. Judgment. II. UNDERSTANDING. 1. Analytical. 2. Synthetical. 3. Categorical. 4. Hypothetical. 5. Disjunctive. MENTAL PHILOSOPHY. 8 9 II. UNDERSTANDING. III. REASON. ( i. Major Premises. 7. Deductive. < 2. Minor Premises. ( 3. Conclusion. Si. Minor Premises. 2. Major Premises. 3. Conclusion. [9. Imagination. 1. Modifies sense and understanding. 2. Comprehends nature by the Supernatural. 3. Attains its own ideal of perfection. [4. Inspires Fancy and Imagination. I. ANIMAL. II. RATIONAL. III. SPIRITUAL CHAPTER III. SUSCEPTIBILITY. r i. Instinct. 2. Appetite. < 3. Natural affections. 4. Selfishness. 5. Disinterestedness. 1. Esthetic Emotions. 2. Scientific Emotions. 3. Ethical Emotions. 4. Conscience. 5. Theistic Emotions. 1 . The process by which induced. 2. Distinctions in spiritual sentiment. 1. Ethical. 2. Religious. 3. Christian. 4. Sentimen t s of Love. 3. Union of responsibility with spiritual sentiment. CHAPTER IV. THE WILL. I. COMPLETE CONCEPTIONS OF CAPACITY FOR WILL- ING. I. Different Con- ceptions. 2. What are complete conceptions of the will. f i. Capacity for prefer- ence. 2. Capacity to choose what is agreeable. 3. Power of self-deter- mination. 4. Power to choose hap- piness. 5. Will is purely spon- taneous. 1. An act of the will must have its end. 2. Must have an al- ternate kind. 3. Must be an end in the Reason. TREASURY OF FACTS. II. EXERCISE OF CAPAC- ITY FOR WILLING. III. DISCRIMINATION OF ACTS OF THE WILL. IV. CLASSIFICATIONS OF ACTS OF THE WILL. 1. Conscious responsibility. 2. Distinction between Brute and Human 'will. 3. Man discriminates his own. 4. Reciprocal complacency stands in liberty. 5. Power to resist constitutional nature. i 6. Individual Consciousnesss. \ ' -^ - 1VI ua , " 1. From Spontaneity. 2. From impulse of Appetite. From Desire. From Spiritual Affections. Immanent preference. 2. For governing purposes. 3. For desultory volitions. CHAPTER V. THE MIND CAN ATTAIN ITS END. I. CONCEPTION OF CAUSALITY. 1. Occasional causes. 2. Sufficient reasons. 3. Habitual repetition. 4. Invariable succession. II. TRUE CONCEPTIONS OF CAUSE. III. CLASSIFICATION OF CAUSES. IV. GROUNDS OF CERTAINTY. 5. Causality only regulates conceptions in our minds. 1. Simple succession. 2. Qualified cause. 3. Mechanical cause. 4. Physical cause. 5. Vital cause. 6. Spontaneous cause. i. Negative, j J" Chance ' Positive. Possible. 2. Fate. i. Individual necessity. Absolute necessity. Physical necessity. 4. Hypothetical necessity. . 4. Applications of certainty. 1. Absolute necessity. 2. Physical necessity. V. NATURAL INABILITY. \ 3. Hypothetical necessity. 4. Strong desire. 5. Balanced desires. VI. THE MIND AN AGENT. f i. Man as an animal agent. I 2. " I* Man as a rational agent. Combination of rational and animal. 4. Objections to liberty of Will. ,r . , ( i. Capable of determining law. t i. Natural com- \ ^ * , , VII. COMPETENCY) p e tency. OF THE MIND. J 2. Moral competency. 2. Capable of obeying law. 3. When wrong can change. SECTION XVI. I. WATER, -i CHEMISTRY. CHAPTER I. LIQUID AND AERIFORM MATTER. ' i. Colorless. 2. Transparent. 3. Tasteless. 4. Inodorous. 1. Hydrogen. \ 5. Weighty. 6. Compressible. 7. Inflammable. 8. Has Heat. 9. Explosive, f i. Colorless. 2. Transparent. 3. Tasteless. 2. Oxygen. J 4. Inodorous. 5. Has Weight. 6. Inflammable. 7. Promotes the burning of other bodies. 3. Common water, or water as commonly \ found. 1. It is impure. 2. It dissolves other substances. 3. It dissolves Air. L. It dissolves Gases. 5. Impure water. II. THE ATMOSPHERE. I. Nitrogen. 2. f i. Rain water. J 2. Spring water. 3. River water. 4. Mineral water. 6. To purify ( i. By Distillation. water. \ 2. By Refrigeration. " i. Colorless. 2. Tasteless. 3. Inodorous. 4. Weighty. 5. Harmless. 6. Its absence causes death. Water vapor. ' i. Colorless. 2. Weighty. 3. Will extinguish fire. 4. Will extinguish life. 5. It is soluble. 6. It is found in solution every- where. 7. Is in Soda Water. 3. Dioxide. 9 2 TREASURY OF FACTS. II. THE ATMOSPHERE. 4. Oxygen. 5. // z's a mixture of- 58. Is in Seltzer Water. 9. Is a compound , ^ Qxygen 1. airless. I 2'. Carbon.' 2. Transparent. 3. Tasteless. 4. Inodorous. 5. Weighty, etc. (See page 91.) f i. Oxygen. 2. Nitrogen. 3. Water Vapor. [4. Dioxide. 6. Combustion. \ ' T - ea .' ( 2. Light. f i. Nitrogen. 2. Oxygen. 3. Water Vapor. 4. Carbonic Dioxide. " i. Nitrogen. 2. Oxygen. 3. Water Vapor. 4. Carbonic Diox- ide. 5. Other offensive impurities. 7. ration. i. Inhalation. 2. Exhalation. 3. Ventilation. CHAPTER II. PLANTS. I. COMPOSITION. i. Nitrogen. 2. Oxygen. 3. Hydrogen. 4. Carbon. II. GROWTH OF PLANTS. III. SUBSTANCE OF PLANTS. 1. Infusibility. 2. Insoluble. 3. Absorption. 4. Durability. 5. Combustible. 6. Inflammable. 7. Charcoal. 8. Graphite. 9. Diamonds. 1. Root. 2. Stem. 3. Leaves. 4. Necessary elements. i. Carbon. 2. Hydrogen. I 3- Oxygen. [ 4. Nitrogen. ,~ , i i. Liquid food. 5. Food. J 2 Q^eousfood. 6. Circulation of plants. f i. Tasteless. I 2. Insoluble. Cellulose. < 3. Is found in trunks of trees. 4. Is found in straw and stalks of I grain. CHEMISTRY. 93 III. SUBSTANCE OF PLANTS. 1. Cellulose. 2. Starch. 3. Sugar. 4. Gum. 5. Oils. 6. Chlorophyl. 1-5. Is found in the skin, seeds and core of fruits. 6. Is found in the Bran of Corn and Wheat. 7. Is found in the framework of leaves. 8. Is Combustible. 1. Peat. 2. Bituminous Coal. IV. DECAY OF PLANTS. Decomposition. \ 3. Anthracite Coal. ( i. Naphtha. 4. Petroleum. 1 2. Kerosene. 1 . Charcoal. ( 3. Asphaltum. 2. Wood Tar. V. EFFECT OF HEAT ON WOOD. i. Acetic Acid. 3. Pyroligneous Acid. I 2. Creosote. ( 3. Wood-Spirit. ' i. Marsh Gas. 2. OlefiantGas, or fire-damp. 4. Gases. { f I 3. Illuminat- ing Gases. From Wood. 1. Ammonia. 2. Coal Tar. 3. Car b o 1 i c 2. From 1 Acid. Coal. I 4. Benzole. 5. Nitro-Ben- zole. 6. Analine. CHAPTER III. SOLIDS. ETC. . Carbonic Dioxide. II. SANDSTONE III. SLATE. IV. GRANITE. U: Oxygen. Silicon. J I. Silicia. l. Alumina. 1. Amethyst. 2. Opal. 3. Chrysoprase. 4. Jasper. 5. Agate. 6. Onyx. 7. Chalcedony. 8. Carnelian. Oxygen. Aluminum. 1. Silicon. 2. Aluminum. 3. Calcium. 4. Oxygen. 5. Potassium. I. Potash. 6. Sodium. ,7. Magnesium. 94 TREASURY OF FACTS. V. SOILS tt Mineral. Organic. 1. Silicia. 2. Lime. 3. Magnesia. 4. Potash. 5. Soda. 6. Oxide of iron. 7. Sulphuric acid. 8. Phosphoric acid. I. CHLORINE. II. BROMINE. III. IODINE. CHAPTER IV. ELEMENTS. 1. Has color. 2. Is odorous. 3. Has weight. 4. Is soluble. 5. // has attraction for Hydrogen. 6. It removes color. 7. // is a disinfectant. 8. // has attraction for metals. Liquid. Bromides. 1. Solid. 2. Soluble, j M ercuric-Iodide. 3. Iodides. U: IV. SULPHUR. i. Sulphides. f i. Sulphide of Iron. I 2. Galena. J 3. Sulphurous Oxide. 4. Sulphuric Acid. 5. Sulphurous Acid. (i. Color. 6. Sulphuretted Hydrogen. | 2. Combus- V. PHOSPHOROUS. i. Phosphates. tibility. For Matches. VI. ARSENIC. < i. Soh'd. \ 2. Arsenous Oxide. VII. IRON. 6. VIII. COPPER. Calcic Phosphate. Phosphoric Oxide. Phosphoric Acid. 1. Colorless. 2. Soluble. 3. Tasteless. 4. Inodorous 5. Poisonous. 6. Arseniuretted Hydrogen, p. i. Magnetic. Lodestone. Hematite. r,. Carbon. j 2. Silicon. Phosphorous. Sulphur. 1. Copper Pyrites. 2. Malachite. 3. Smelting. ( i. Brass. 4. Uses for Alloys. \ 2. Bronze. 3. German Silver. 2. 3. Carbonate of Iron. 4. Cast-Iron. 5. Malleable Iron. f. <;**! I CHEMISTRY. 95 IX. ZINC. X. TIN. XI. LEAD. XII. MERCURY. drargyrum.) {I. Blende. 2. Red Oxide. 3. Smithsonite. C 4. Properties. < i. Tin Stone. , 2. Properties. \ 2 ' 3. Alloys. ] J; r i. Galena. 2. Properties. \ i. Color. 2. Weight. 3. Brittleness. Brilliant. Malleability. Pewter. Britannia. i. Color. 2. Malleability. ?. Weifht. [4. Poisonous. 3. Alloys. Type metal. .-TT ( i. Cinnabar. v n y~ J 2. Properties. 3. Liquid metal. XIII. SILVER. XIV. GOLD. 1. Sulphide. 2. Properties., 1. Color. 2. Weight. 3. Malleable. 4- 1. Color. 2. Weight. 3. C o m- pounds. The whitest metal. Malleable. Ductile. s: Cor r o s i v e Sublimate. Calomel. CHAPTER V. CHEMICAL ATTRACTION. I. First Law. Every compound is always made up of the same elements, and always of the same proportion, by weight, of the elements. II. Second Law. If one substance combines with another in more than one proportion, these proportions are always multiples of the combining weight. SECTION XVII. GOVERNMENTAL SCIENCE. CHAPTER I. PRINCIPLES OF GOVERNMENT. I. RIGHTS OF PERSONS. r. Absolute. 2. Relative. i. Public. 2. Private. II. RIGHTS OF THINGS. I. Real things. 2. Persona/ things. 1 . Of personal security. 2. Of personal liberty. 3. Of private property. 1. To establish a government. 2. To share in the government. 3. To be protected by the gov- ernment. 4. Of Aliens. 5. Of Citizens. !i. Master and Servant. 2. Husband and Wife. 3. Parent and Child. 4. Guardian and Ward. ' i. Gained by Occu- pancy. 2. Gained by Custom. 3. Gained by Succes- sion. 4. Gained by Mar- riage. 5. Gained by Judg- ment. 6. Gained by Grant. 7. Gained by Con- tract. 8. Gained by Testa- ment. 9. Gained by Admin- istration. 1. Kinds. 2. Tenures. 3. Estates. [4. Titles. 1. Their distribution. 2. Property in them. \. Title to them. CHAPTER II. KINDS OF GOVERNMENT. I. MONARCHICAL. II. ARISTOCRATIC. III. DEMOCRATIC. IV. PATRIARCHAL. 1. Absolute. 2. Limited. 3. Hereditary. 4. Elective. 1. Democracy. 2. Republican. GOVERNMENTAL SCIENCE. 97 CHAPTER III. STATE GOVERNMENTS. 1. Nature. 2. Convention. L CONSTITUTION. -j 3. Adoption. 4. Amendments. L$. The Value. f i. Age. 2. Sex. 3. Residence. II. ELECTORS. <( 4. Aliens. 5. Criminals. 6. 7<//0Ay. (.7. C<7/0r. 1. When held. 2. Officers. 3. Voting. 4. Challenging. 5. Registration. 6. Canvassing. 7. Plurality. 8. Majority. , I. Legislature. III. ELECTIONS. IV. DIVISIONS OF GOVERNMENT. 2. Meetings of Legislature. i. Senate. *i. How composed. 2. Qualifications of members. 3. Terms. 4. Appointment. 5. Salary. f i. How composed. 2. Qualifications of members. 3. Terms. Legislature, j 4. Appointment. or Assembly. 5. Census. 6. Vacancy. 7. Salary. 8. Privilege of members. Time. Place. I - 3. Enacting laws. V. STATE OFFICERS. i. Governor. Organization. Officers. Quorum. Interruption. 1. Rules. 2. Governor's message. 3. Introduction of Bills. 4. Committees. 5. Bills, etc. 6. Readings. 7. Passage. 8. Concurrence of both Houses. 9. Veto. 10. Time of taking effect. 11. Different manners of becoming law. 1. Qualifications. 2. Term of service. 9 8 TREASURY OF FACTS. V. STATE OFFICERS. 1. Governor. 3. Powers. 2. Lieutenant-Governor. VI. COUNTY OFFICERS.- VII. TOWNSHIP OFFICERS. 1. Executive Powers. 2. Legislative Powers. 3. Judicial Powers. 4. Appointing Power. 3. Secretary of State. 4. State Comptroller. 5. State Treasurer. 6. Attorney-General. j. Superintendent of Public Instruction. 8. Surveyor-General. 9. Auditor -General. 10. State Printer. 1 1 . State Librarian. 1 . Necessity for counties. 2. Corporations. 3. Commissioners. 4. Treasurer. 5. Recorder. 6. Sheriff. 7. Coroner. 8. District- Attorney. 9. Surveyor. 10. Superintendent of ) Schools. ' i. Chief officer. 2. Treasurer. 3. Clerk. 4. Constables. 5. Supervisors. 6. School Directors. 7. Overseers of Poor. 8. Assessors. 9. Collectors. i. Necessity for Incorporating. f i. Mayor. 1. Qualifications. 2. Manner of election. 3. Length of term. 4. Salary. VIII. CITIES AND TOWNS 2 . Charter, t I. City. IX. TAXES. 1. Necessity for. 2. Assessment. 3. Exonerations. 4. Apportionment. . Collection. j 2. Charter, c I. [3. Officers. J %2. Aldermen. 3. Councilmen. 4. Police. 1. Burgess. 2. Councilmen. 3. Minor officers. X. EDUCATION. 1. Necessity for a system. 2. Object of the system. 3. Appropriation for schools. 4. Districts for schools. 5. Superintendent of schools. 6. Common schools. 7. Higher grades. GOVERNMENTAL SCIENCE. 99 X. EDUCATION. 8. Academies. 9. Colleges. XI. PUBLIC INSTI- TUTIONS. XII. MILITIA. 10. Normal schools, f I. Asylums. 2. Aims-Houses. 3. Hospitals. ( i. Jails. 4. Prisons. 1 2. Work-Houses. 5. Railroads. ( 3. Penitentiaries. 6. Canals. 1. Organization. 2. How composed. 3. Commanders. 4. Training of. 5. Volunteers. I. JUDICIAL. I. Courts. CHAPTER IV. JUDICIAL AND EXECUTIVE DEPARTMENTS OF GOVERNMENT. 1. Necessity for. 2. Supreme. 3. Circuit. 4. Justices'. 5. Probate. 6. Chancery. 7. Common Pleas, 8. Quarter Sessions. 9. Police. f i. Whom. 2. Term. 3. Salary. [ 4. How appointed. 1. Impeachment. 2. Trial. 3. Ordinary proceedings. 4. Parties. 5. Summons. 6. Pleadings. 7. Jury. 8. Trial. 9. Verdict. 10. Judgment. 11. Appeal. 12. Execution. 10. Officers. 2. Legal Pro- ceedings. \ i. Against Property. <2. 3. Criminal Proceedings. Against Persons. 1. Indictment. 2. Arrest and Bail. 3. Examination. 4. Habeas Corpus. 5. Trial. i. In Probate Courts. .-., ,. I 2. In Special Courts. 4. Other Proceedings. ^ In ^ uity Coufts [4. In Argument Courts. IOO TREASURY OF FACTS. II. EXECUTIVE. 1. Execute the laws. 2. Appoint Officers. 3. Pardon Criminals. 4. Commander-in-Chief. CHAPTER V. UNITED STATES GOVERNMENT. f I. The Continental Congress. 2. Difficulties. 3. Taxes. 4. Duties. 5. Discord among the States. , 6. Convention to amend. j ' . 7. Adoption of the Constitution. i. THE CONFED- ERATION. og ' % ' First Division of Federal Government Legislative. II. THE FED- ERAL GOV- ERNMENT. I. Consti- tution. 1. Preamble. 2. Division in- to Houses. 1 i. House of Represen- tatives. 1. Members. 2. Qua 1 i fi c a- tions. 3. Number. 4. Apportion- 2. Senate. 2. Powers to tax. Regulation Commerce. ment. 5. Salary. 6. Freedom from arrest. 1. Character. - 2. Number of members. 3. Qualifications. 4. Election. 5. Term. 6. Salary. Officers. Impeachment. Meetings. Rules. Liberty of speech. 6. Bills. 7. Veto. 1 . Necessity for taxing. 2. Manner of taxing. 3. Object of taxing. 4. Uniform system. 5. Can borrow money. 1. Nature of regulation. 2. Protection. 3. Collection of Duties. 4. Registry of Vessels. Congress in gen- eral. GOVERNMENTAL SCIENCE. IOI II. THE FED- ERAL GOV- ERNMENT. 5. Clearance and Equity Regulation of}6. Navigation Laws. Commerce. \ 7. Among the States. 18. 4. Powers relating to Peace. 5. Powers relat- ing to War. 6. Constitutional Prohibitions. Among the Indians. 1. To naturalize Aliens. 2. To pass Bankrupt Laws. 3. To coin Money. 4. To regulate Weights and Meas- ures. 5. To establish Post-Offices. 6 To protect) j p Inventors and 2> copyrights. Authors. ) 7. To establish courts. 8. To punish Piracy. 9. To punish offences against the laws of nations. 10. Rights over the District of Co- lumbia. 1. To declare war. 2. To grant Letters of Marque, etc. 3. Powers over captures. 4. Powers to raise and maintain an Army and Navy. 5. To call out the militia. v. As to Taxes. 2. As to Commerce. 3. Suspension of Ha- beas Corpus. 4. Bills of Attainder. 5. Ex post Facto laws. 6. Titles of Nobility. 7. Can't pay money un- less appropriated. 8. Officers can't wear ti- tles of honor from for- eign nations. f i. As to Taxes. 2. As to forming agree- ments with other States and nations. 3. As to War. 4. As to Money. 5. As to Bills of Attain- der. 6. As to Ex post Facto laws. 7. As to impair contracts. 8. As to titles of nobil- ity. i. On the United States. 2. On the States. IO2 TREASURY OF FACTS. Second Division of Federal Government Executive. I. THE PRESIDENT. 1. Qualifications. 2. Manner of election. 3. Length of term. 4. Vacancy. 5. Salary. ( i. By Electors. \ 2. By the House. 1. Commander-in-Chief. 2. To grant Reprieves and Pardons. 3. To form Treaties. 4. To appoint Ministers. 5. To appoint Consuls. 6. To appoint Judges. 6. Powers. \ 7. To appoint other Officers. 8. To fill Vacancies. 9. To remove Officers. 10. To convene Congress. 11. To receive foreign Ministers. 12. To execute the laws. 13. To deliver an Annual Message. ' i. Secretary of State. 2. Secretary of Treasury. 3. Secretary of Interior. 7. His Cabinet. \ 4. Secretary of War. 5. Secretary of Navy. 6. Attorney -General. 7. Postmaster-General. Third Division of Federal Government Judicial. I. COURTS. \ II. CRIMES. i. Cases arising under Constitution and 6. Jurisdictio n \ Treaties. in general. 1 2. Cases affecting Foreigners. [ 3. Cases between different States. " i. Treason. 2. Punishment. 3. Piracy. 4. Perjury. 5. Counterfeiting. 6. Forgery. 7. Mail robbery. 8. Slave holding. 9. Intimidating persons from exercising their Civil and Po- litical rights. GOVERNMENTAL SCIENCE. 103 IV. MISCELLANEOUS PROVISIONS OF THE CONSTITUTION. 1. Privileges of Citizens. 2. Pertaining to Fugitive Criminals. 3. Relating to new States. 4. Relating to Territories. 5. State Protection. V. SUPREMACY OF THE NATIONAL LAW, OATH OF ALLEGIANCE, AND TEST OATH. f i. Freedom of Religion. Art. I. Constitution- \ 2. Freedom of Speech. al Amendments. 1 3. Freedom of Press. [ 4. Right of Petition. Art. II. Right to keep arms. Art. III. Quartering of Soldiers. Art. IV. Search Warrants. Art. V. and VI. Criminal Proceedings. Art. VII. Trial by Jury. Art. VIII. Excessive punishment. Art. IX. Rights, of people, not named. Art. X. Powers reserved to States. Art. XL Suits against States. Art. XII. Election of President and Vice-Pres- ident. Art. XIII. Abolition of Slavery. ' i. Apportionment .of Representa- VI. CONSTITUTIO N A L AMENDMENTS. Art. XIV. tives. 2. Political Disabilities. 3. Public Debt. 4. Powers of Congress. L 5. Civil Rights. Art. XV. Right of suffrage for freedmen. CHAPTER VI. PRINCIPLES OF LAW. First. MUNICIPAL LAW. I. CIVIL RIGHTS. i. Absolute. 2. Relative U: Slander. Libel. Public. Private. II. CONTRACT I 1 ' Powers of persons to contract. Personal security. Personal liberty. Private property. 1. Duties of Parents. 2. Rights of Parents. 3. Rights of Children. 4. Apprentices. 5. Master and Servant 6. Husband and Wife. 1. Infancy. 2. Lunacy. 3. Married women. 4. Assent of parties. IO4 TREASURY OF FACTS. II. CONTRACT. I. Powers of persons to contract. 2. Marriage Contract. III. PRINCIPAL AND AGENT. IV. PARTNERSHIP. V. SALE OF PROPERTY. VI. FRAUDULENT TRANSFER. 5. Consideration. 6. Fraud and force. 7. Imperishable Contracts. 8. Illegal Contracts. 9. Written Contracts. 10. Limitations to Contracts. 11. Remedies to Contracts. 1. Relationship. 2. Lunacy. 3. Fraud. 4. Force. 5. Ceremony. 6. Bigamy. 7. Wife's property. 8. Dower. 9. Support. 10. Divorce. 1. Who is agent. 2. Acts of agent. 3. Wrongs of agent. 4. Agent's duty to principal. 5. Irresponsibility to third party. 6. Commission Agent. [ 7. Brokers. f i. Acts of either partner. 2. Secret Partners. 3. Transfer of interest. 4. Terms of partnership. 5. Notice when dissolved. 6. Limited Partnership. 7. Rights of Partners. 1 . There must be property. 2. There must be an agreement. 3. There must be a Delivery. 4. There must be a Contract. 5. Void without a Title. 6. Title Warranted. fi. Gifts. 2. Creditors' rights. 3. Record of Mortgages. 4. Transfer of property to Creditors. i. Use of Bills. Promissory Notes. Bills of Exchange. VII. BILLS AND NOTES. 3. Bills of Contract. < 4. Interest on notes. \ 5. Time of payment. 6. Days of grace. 7. Indorser liable. 2. Acceptance. 3. Checks. 4. Drafts. 5. Endorsement. 1. Negotiable. 2. Can't be transferred without consent, after maturity. GOVERNMENTAL SCIENCE. 105 VII. BILLS AND NOTES VIII. SERVICES 8. Demand must be made. 9. Indorser must be notified. 1. Hotel keepers. 2. Ordinary laborers. 3. Common Carriers. 1. Fire. 2. Marine. IX. INSURANCE. \ 3. Life. 4. Several Policies. 5. False representations. f i. Bill of lading. I 2. Goods destroyed to save balance. 1 3. Salvage. [ 4. Authority of ship-master. < i. Rate. \ 2. Usury. i. Fee Simple. 2. Estate for life. 3. Contingent Estate. 4. Leased Estates. 5. Estates in trust. 6. Deeds and Mortgages. 1. Responsible to Persons. 2. Responsible for Property. X. SHIPPING. XI. INTEREST. XII. REAL ESTATE. . 7. Appurtenances. XIII. LANDLORD AND TENANT. 1. A Deed. 2. A Mortgage. 3. Delivery. 4. Recording. 5. Acknowledgment. 6. Foreclosure. r. Rights over highway. 2. Rights over streams. 3. Rights of way. 4. Rights of party walls. 5. Forfeiture of rights. 1. Lease. 2. Rent. 3. Distribution of property. 4. Removal of tenant. 5. Sale of property. XIV. WILLS. 6. Repairs. 7. Crops. 8. Tenant may re-rent. 9. Notice to yield up premises. Pi. Who can make them. 2. Must be according to law. 3. How revoked. [4. Codicil. XV. DISTRIBUTION OF PROPERTY WITHOUT WILLS U: Personal. Real Estate. Second. CRIMINAL LAW AND CRIMES. 1. What constitutes a crime. 2. Laws in different States. 3. Capital punishment. 4. Treason. 5. Murder. 6. Arson. 7. Manslaughter. 8. Burglary. 9. Robbery. 10. Larceny. 11. Embezzlement. 12. Forgery. io6 TREASURY OF FACTS. 13. Perjury. 14. Minor offences. 1 5. Principals in crime. 1 6. Accessories. 17. Arrests. 1 8. Punishments. Third. INTERNATIONAL LAW. Sovereignty. Dependent on each other. Law of Nations. Origin of law. 9. Rules of Peace. 10. Rules for War. II. Rights and Duties of Belligerents. 12. Rights and Duties of Neutrals. 5. Enforcement of law. 6. Arbitration. 7. Treaties. 8. Observance, how enforced. 1. Jurisdiction. 2. Relation to travellers. 3. Relation to Criminals. 4. Not to interfere with others' affairs. 5. To protect the weaker. 6. Not to make treaties to infringe on others' rights. 7. Ambassadors. 8. Consuls. 9. Reprisals. 10. Embargo. f i. Cause for war. 2. Object. 3. Arbitration. 4. Treaties of Alliance. 1. To cease intercourse. 2. To notify strangers to leave. 3. To use instruments of death. 4. To rights, etc., of Prisoners. 5. Must protect non-combatants. 6. Duties, etc., relating to civil war. 7. War at Sea. 8. Regulations regarding privateering. 9. Regulations relating to Prizes. 10. Relating to time. u. Relating to the Treaty. 1. Must remain Neutral. 2. Must prevent Privateering. 3. May continue to trade. 4. Regarding Contraband. 5. Must submit to search. 6. Must regard the Blockade. SECTION XVIII. I. DEFINITION. II. NUMBERS. ARITHMETIC. CHAPTER I. FUNDAMENTAL RULES, ETC. 1. Problem. 2. Solution. 3. Explanation. 4. Principle. 5. Example. 6. Analysis. 7. Rule. 8. Unit. 9. Number. 10. Figure. 1. Concrete. 2. Abstract. 3. Prime. 4. Composite. 5. Integers. 6. Fractions. 7. Mixed. 8. Similar. 9. Dissimilar. 10. Simple. u. Compound. 12. Denominate. < i. Simple. f* Compound. 1. Write by Words. 2. Write by Figures. 3. Write by Letters. 4. Order of Units. pi. NOTATION AND NUMERATION. 5. Value. r i. 6. Period. 2. 7. Principles. 3* .8. Rule. 4 5- IV. ROMAN TATION. NO- Characters. Letters. Principles. Ten units of any order make one of the next higher. Removing a figure one place to the left, increases its value. Removing a figure one place to the right diminishes its value. 4. The name and value of a figure depends upon the place it occupies. 5. The absence of a figure or fig- ures is denoted by ciphers. Repeating a letter repeats its value. A letter placed before one of great- j er value, their difference is required. I 3. A letter placed after one of greater L value, their sum is required. fi io8 TREASURY OF FACTS. IV. ROMAN TATION. NO- V. ADDITION. ri. Terms, 2. Cases 3. Principles. VI. SUBTRACTION. 4. A letter between two of greater value, the difference between it and their sum is required. 5. A Dash over a letter increases the value one thousand fold. 1. Addends. 2. Sum. 1. When the sum is less than Ten. 2. When the sum is greater than Ten. 1. Only similar numbers can be added. 2. Only units of like orders can be added. 3. The sum is equal to all the parts. 4. The sum diminished by one or more parts is equal to all the other parts. ( I. Addition (Plus). 4. Signs. J 2. Equality. 5. Rule. ( 3. Dollars. .6. Proof._ { i. Minuend. 2. Subtrahend. 3. Difference or Remainder. When all the figures in the Minuend are greater than the corresponding fig- ures in the Subtrahend. When one or more figures of the Min- uend are less than the corresponding figures in the Subtrahend. 1. Only similar numbers can be subtracted. 2. Only units of like orders can be subtracted. 3. Subtraction is the reverse of Addi- tion. 4. The Minuend equals the Subtra- hend Plus the Remainder. 5. The Subtrahend equals the Minu- end Minus the Remainder. 6. The Remainder equals the Minu- end Minus the Subtrahend. Of Subtraction (Minus). Of Equality. Of Dollars. i. Terms. 2. Cases. 3. Principles. Signs. < 3. Rule. I 4. The Parenthesis. 6. Proof. \ 5. The Vinculum. ' i. Multiplicand. Terms. \ 2. Multiplier. VII. MULTIPLICATION. i. 2. Cases. 2. 3. Product. 1. When the Multiplier contains one figure. 2. When the Multiplier contains more than one figure. . 3. To multiply by factors. 4. When the Multiplier has ciphers to the right. ARITHMETIC. 3. Principles. VII. MULTIPLICATION. VIII. DIVISION. I. Terms. 2. Cases. 1. The Multiplicand may be either a Concrete or an Abstract Number. 2. The Multiplier is always an abstract number. 3. The Product is like the Multi- plicand. 4. The Product is numerically the same in whichever order the terms are multiplied. 5. Multiplication is a concise method of Addition. 6. The Multiplicand equals the Product divided by the Multi- plier. 7. The Multiplier equals the Pro- duct divided by the Multipli- cand. 8. The Product equals the Mul- tiplicand into the Multiplier. (i. Of Multiplication. 2. Of Equality. 3. Of Dollars. 4. The Parenthesis. 5. The Vinculum. {i. Dividend. 2. Divisor. 3. Quotient. 4. Remainder. 1. To Divide when the divisor contains only one figure (Short Division). 2. To Divide when the divisor contains more than one figure (Long Division). 3. To Divide into equal parts. 4. To Divide by factors. 5. To Divide when there are ciphers to the right of the divisor. ' i. Division is a concise method of Sub- traction. 2. Division is the reverse of Multiplica- tion. 3. The Dividend and Divisor must be similar or abstract numbers. 4. The Quotient is an abstract number. 5. The Remainder is like the true Divi- dend. 6. The Dividend equals the Divisor into the Quotient plus the Remainder. 7. The Divisor equals the Dividend minus the Remainder divided by the Quotient. 8. The Quotient equals the Dividend divided by the Divisor. Principles J ? ' 1 10 TREASURY OF FACTS. VIII. DIVISION. r 3. Principles. 4. Signs. 5. Rule. 1 6. /v/: 9. Increase the Divisor diminishes the Quotient. 10. Diminish the Divisor increases the [ Quotient. If Of Division. 2. Of Equality. 3. Of Dollars. 4. Parenthesis. . Vinculum. I. DECIMAL FRACTIONS. CHAPTER II. DECIMAL FRACTIONS. ii. Point. 2. Tenths. 3. Hundredths, etc. 1. Pure. 2. Mixed. 2. Kinds. \ 3. Complex. 4. Circulating. 5. Pure Repetend. 1. Changing the Point toward the right multiplies the Decimal. 2. Changing the Point towards the left divides the Decimal. 3. Placing a cipher between the Point and Decimal divides the Decimal. 4. The Point always belongs between the Decimal and the Integer. 5. Ciphers to the right of a Decimal do not affect the value. Decimals to common fractions. Common fractions to Decimals. Point. 3. Principles. 4. Reduction. \ 5. Addition. ( 6. Subtraction. \ ( * 7. Multiplication. \ Place. Rule. 1. Point. 2. Rule. 1. Point. 2. Rule. .8. Division. Principles. Rules. 1. When the Dividend and Divisor are alike, the Quo- tient is a whole number. 2. The Dividend must con- tain as many decimal places as the Divisor. 3. When the Divisor is a whole number, the Quo- tient is like the Dividend. 4. The Quotient most con- tain as many decimal places as those in the Dividend exceed those in the Divisor. ARITHMETIC. Ill I. DECIMAL FRACTIONS .1 9. Circulates i* (3- A common fraction to a Circulate. A pure Circulate to a common fraction. A mixed Circulate to a common fraction. CHAPTER III. UNITED STATES MONEY. I. ADDITION. II. SUBTRACTION. III. MULTIPLICATION. IV. DIVISION. ' V. REDUCTION. VI. RULES. VII. BILLS. i. Terms. 1. Of Addition. 2. Of Subtraction. 3. Of Multiplication. 4. Of Division. f i. Bill. 2. Account. 3. Debtor. 4. Creditor. I. FACTORING. ' I. Principles. 2. Cases. 13. Rule. CHAPTER IV. PROPERTIES OF NUMBERS. 1. Every number is equal to the product of its prime factors. 2. Every number is divisible by its prime factors or some product of them. 3. Every number is divisible only by its prime factors or some product of them. 4. Any number ending m o, 2, 4, 6 or 8, is divisible by 2. 5. Any number ending in o or 5 is divisi- ble by 5. 1. To find the prime factors. 2. To find the several factors or divisors. 3. To find the equal factors. C i. Common Divisor. < 2. Greatest Common Divisor. ( 3. Greatest Common Measure. 1. First Method. 2. Second Method. 1. The product of all the com- mon prime factors of two or more numbers is the Greatest Common Divisor. 2. A Common Divisor of two or more numbers is a Divisor of their sum, and also of their dif- ference. r I. Terms. II. COMMON DIVISOR. \ 2. Cases 3. Principles. 1 4. Rule. 112 TREASURY OF FACTS. III. COMMON MULTIPLE. I. Terms. 2. Cases. 3. Principles, 4. Rule. IV. CANCELLATION. 1. A Multiple. 2. A Common Multiple. 3. Least Common Multiple. First Method. Second Method. A Multiple of a number must contain all the prime factors of that number. A Common Multiple of two or more numbers, must con- tain all the prime factors of each of them. The Least Common Multi- ple of two or more numbers must contain all the prime factors of each of them, and no other factor. 1. Cancelling a factor in any num- ber divides the number by that factor. 2. Cancelling a factor in both Divi- dend and Divisor of a quantity does not alter the value. I. TERMS. II. KINDS. III. PRINCIPLES. IV. REDUCTION. CHAPTER V. FRACTIONS. j i. Numerator. / 2. Denominator. 1. Simple (|). 2. Compound (| of f). 3. Proper (f). 4. Improper (f). 5. Mixed (2j). 6. Complex 7. Reciprocal (i 4- by the number). 1. Multiplying the Numerator by any number, multiplies the value. 2. Dividing the Numerator by any number, divides the value. 3. Multiplying the Denominator by any number, divides the value. 4. Dividing the Denominator by any number, multiplies the value. 5. Multiplying both terms by the same number, does not change the value. 6. Dividing both terms by the same number" does not alter the vahie. 1. Numbers to Fractions. 2. Fractions to Numbers. ARITHMETIC. IV. REDUCTION. < VII. MULTIPLICATION. ' 3. Compound to Simple. 4. To higher terms. 5. To lower terms. 6. Dissimilar to Similar. 7. The Greatest Common Divisor of Fractions. 8. The Least Common Multiple of Fractions. [ 9. Rules for these cases. V. ADDITION. Rule. VI. SUBTRACTION. Rule. C i. A Fraction by a whole Number. i. Cases. < 2. A whole Number by a Fraction. 3. A Fraction by a Fraction. {i . A Fraction is multiplied by multiplying its Numerator. 2. A Fraction is multiplied by dividing its Denominator. 1. A Fraction by a whole Number. 2. A whole Number by a Fraction. ( 3. A Fraction by a Fraction. {i. A Fraction is divided when its Nu- merator is divided. 2. A Fraction is divided when its De- nominator is multiplied. f i. The relation of a Number to a Fraction. IX. RELATIONS OF NUM- i 2. The relation of a Fraction to a Number. BERS AND FRACTIONS. I 3. The relation of a Number to a Number. 4. The relation of a Fraction to a Fraction. VIII. DIVISION. r i. Cases. CHAPTER VI. DENOMINATE NUMBERS. i. Of Value. I. SIMPLE. 2. Weight. II. COMPOUND. 3. Length. III. MEASURES. \ 4. Surface. 5. Volume. 6. Time. 7. Angles and Circular ; and, First, VALUE, see below. 1. Coin. 2. Paper Money. 1. Money. 3. Currency. 4. Mint. 5. Bullion. ( i. Table. 2. United States Money. < 2. Denominations. I. VALUE. ( 3. Symbols. ( i. Table. 3. Sterling Money. ? 2. Denominations. f 3. Symbols. C i. Table. 4. French Money. < 2. Denominations. ( 3. Symbols. 114 TREASURY OF FACTS. I. VALUE. II. WEIGHT. German Money. 1. Name. 2. Use. 3. Unit of measure. Troy. < 4. Caret. 5. Table. 6. Denominations. 7. Symbols. fi. Use. 1. Table. 2. Denominations. 3. Symbols. 2. Apothecaries '. 3. Avoirdupois. .4. Miscellaneous. III. MISCELLANEOUS WEIGHTS. 2. Unit of measure. 3. Table. 4. Denominations. a,, u 5. Symbols. [6. A IV. LENGTH. I. Long Measure. Apothecaries' Fluid. r. Name. 2. Use. 3. Unit of measure. 4. Table. 5. Denominations. [6. Symbols. f i. Cental. 2. Cask. 3. Quintal. 4. Barrel of Flour. 5. Barrel of Salt. 6. Barrel of Pork. 1. Of Wheat (60). 2. Of Oats (32). 3. Rye (56). 4. Buckwheat (52). 5. Potatoes (60). 6. Beans (60). 7. Clover Seed (60). 8. Timothy Seed (45). 9. Flax Seed (56). 10. Barley (48). 11. Corn in ear (70). 12. Corn shelled (56). 13. Salt (56). 14. Bituminous Coal (70). 15. Onions (57). 16. Dried Apples (24). 17. Dried Peaches (33). 18. Hemp Seed (44). 1. A Line. 2. An Angle. 3. A Right Angle. 4. Its use. 5. Unit of measure. 6. Table. 7. Denominations. 8. Symbols. ARITHMETIC. IV. LENGTH. Cloth Measure .4. Miscellaneous. V. SURFACE. i. Square Measure. VI. VOLUME AND CAPACITY. ^visions. 1. Use. 2. Unit of measure. 3. Surveyors Long. < 3. Table. 4. Denominations. [ 5. Symbols. " i. Fathoms. 2. Cables' length. 3. League. 4. Hand. 5. Cubit. 6. Palm. 7. Pace. " i. Rectangle. 2. Square. 3. Area. 4. Use. 5. Unit of measure. 6. Table. 7. Denominations. 8. Symbols. 9. Surveyors' Square. 1. Use. 2. Cube. 3. Contents. 4. Units of measure. 5. Table. 6. Denominations. 7. Symbols. 8. Cord. 9. Cord feet. i: Use. 2. Unit of measure. 3. Table. 4. Denominations. 5. Symbols. 6. Cubic inches | i. Heaped bu. in Bushel. \ 2. Stroked bu. 1. Use. 2. Unit of measure. 3. Table. 4. Denominations. 5. Symbols. I. Cubic Measure. 2. Dry Measure. 3. Liquid Measure. VII. TIME. 1. Use. 2. Unit of measure. 3. Table. 4. Denominations. 5. Symbols. 6. Seasons. 7. Names of months. 6. Cubic inches in gallon. TREASURY OF FACTS. VIII. ANGULAR OR CIRCULAR. IX. MISCELLANEOUS. - 1. Counting. 2. Paper. .3. Books. 1. Use. ( i. Right. 2. Angles. < 2. Acute. 3. Circle. (3. Obtuse. 4. Circumference. 5. Diameter. 7. Denominations. 8. Symbols. ( i. Dozen. 2. Gross. 3. Great Gross. 4. Pair. 5. Set. 6. Score. 1. Quire. 2. Ream. 3. Bundle. 4. Bale. 1. Folio. 2. Quarto. 3. Octavo. 4. Duodecimo. 5. i8mo. 6. IV. REDUCTION. :i. Ascending. 2. Descending. 3. /?/*. 4. Cases. V. ADDITION. Rule. 1 VI. SUBTRACTION. Rule. VII. MULTIPLICATION. Rule. VTTI 7. 32mo. f i. A Denominate Number to a De- nominate Fraction. 2. A Denominate Fraction to a De- nominate Number. 3. To find what part one is of an- other. J * Divide into parts. \ 2. X. DENOMINATE FRACTIONS. One compound number by another. A\rn TIMF ) !> To find the difference in time. riME " \ 2. To find the difference in longitude. 1. A Fraction to a Fraction of a lower denomination. 2. A Fraction to an integer of a lower denomination. 3. A Fraction to a Fraction of a higher denomination. 4. A compound number to a Fraction. < I. A Decimal to a Denominate Number. \ 2. A Compound Number to a Decimal. i. Common. .2. Decimals. ARITHMETIC. 117 I. TERMS. II. CHAPTER VII. RATIO. 1. Antecedent. 2. Consequent. 3. Couplet. 4. Ratio. 1. Simple. 2. Compound. III. PRINCIPLES. A Ratio equals the Quotient of the Antecedent di- vided by the Consequent. 2. The Antecedent equals the product of the Conse- quent by the Ratio. 3. The Consequent equals the quotient of the Antece- dent divided by the Ratio. I. SIMPLE. II. COMPOUND. III. PRINCIPLES. CHAPTER VIII. PROPORTION. I st. The product of the means equals the product of the extremes. 2d. Either extreme equals the product of the means di- vided by the other extreme. 3</. Either mean equals the product of the extremes di- vided by the other mean. 4//#. The fourth term equals the third divided by the ratio of the first to the second. yh. The first term equals the second multiplied by the ratio of the third to the fourth. 6th. The product of the simple ratios of the first couplet in a compound proportion, equals the product of the simple ratios of the second couplet. yth. The product of all the terms in the extremes of a compound proportion, equals the product of all the terms in the means. 8M. Any term in either extreme in a compound propor- tion, equals the product of the means divided by the product of the other terms in the extremes. gth. Any term in either mean in a compound propor- tion, equals the product of the extremes divided by the product of the other terms in the means. I. TERMS. CHAPTER IX. PERCENTAGE. 1. Base. 2. Rate. 3. Percentage. 4. Am't c. Difference. TREASURY OF FACTS. II. CASES. III. PRINCIPLES. IV. RULES. V. APPLICATIONS AND I. GAIN OR LOSS. II. STOCKS AND DIVIDENDS. III. PREMIUM AND DISCOUNT. 1. The Base and Rate given to find the Percentage. 2. The Percentage and Rate given to find the Base. 3. The Base and Percentage given to find the Rate. 4. The resulting number and Rate given to find the Base. f i. The Percentage equals the Base multiplied by the Rate, divided by 100. 2. The Rate equals the Percentage divided by the Base, multiplied by 100. 3. The Base equals the Percentage divided by the Rate, multiplied by 100. 4. The Base equals the amount divided by one (i) plus the rate, or by (i) minus the Rate multiplied by 100. ( i. Gain and Loss. 2. Stocks and Dividends. 3. Premium and Discount. 4. Commission and Brokerage. 5. Insurance. 6. Simple Interest. 7. Compound Interest. 8. True Discount. 9. Banking. 10. Taxes. 11. Custom House business. 12. Direct Exchange. 13. Circular Exchange. 1. Capital and Rate given to find the gain or loss. 2. The Rate and gain or loss given to find the Base. 3. The Base and gain or loss given to find the Rate. 4. Rules. C i . A Company. 2. Corporation. i. Terms. \ 3. Stock. 4. Dividend. 5. Assessment. fi. Stock and Rate given to find the Dividend. 2. Rate and Dividend given to find Stock. 3. Stock and Dividend given to find Rate. 1. Capital. 2. Money. 3. Stocks. 4. Drafts and Checks. r i. Terms. { 5. Bills of Exchange. 6. Par Value. 7. Real Value. 8. Premium. 9. Discount. 1. The Par Value and Rate to find the Premium or Discount. 2. The Premium or Discount to find the Par Value. 3. The Par Value and Real Value or Dis- count to find the Rate. 4. The Real Value or Face and Rate to find the Premium or Discount. Cases. Rules. ARITHMETIC. IV. COMMISSION AND BROKERAGE. i. Terms. V. INSURANCE. i . Terms. Cases. Rules. ii: Cases, Rule, s. \ 2. ' (3- r i. Terms. VI. SIMPLE INTEREST. 2. Cases. 3. Rules. 1. Agent or Factor. 2. Brokerage. 3. A Broker. 1. The Base and Rate to find Com- mission. 2. The Commission or Brokerage, and Base, to find Rate. 3. The Commission or Brokerage and Rate to find the Base or Cost. 4. The Rate and Cost, or Base, to find Commission or Brokerage. Insurance. Policy. Premium. Value and Rate given to find Premium. Value and Premium to find Rate. Rate and Premium to find Value. 1. Interest. 2. Rate. 3. Principal. 4. Time. 5. Amount. 6. Legal interest. 1. Principal, Rate and Time, to find Interest, or Amount. 2. Principal, Rate and Interest, to find Time. 3. Principal, Time and Interest, to find Rate. 4. Time, Rate and Interest, to find Principal. r. Terms. 1. Promissory Note. 2. Judgment Note. 3. Drawer. 4. Payee. 5. Endorser. 6. Indorsements. 7. Rules. .4. Interest on Notes. VII. COMPOUND INTEREST. Rules. Discount. VIII. TRUE DISCOUNT. { 2. Present Worth. Rules. 1. Proceeds. 2. Discount. 3. Bank Discount. 4. Days of Grace. The face of a note, Rate and Time, to find the Discount and Proceeds. Proceeds, Rate and Time, to find face. 1. Duties. 2. Customs. 3. Ad Valorem Duty. 4. Specific Duty. 5. Draft. 6. Tare. 7. Gross Weight. 8. Rule. IX. BANKING. 2. Cases 3. Rule, C i. Property. X. TAXES. \ 2. Poll. ( 3. Rule. XI. CUSTOM HOUSE BUSINESS. I2O TREASURY OF FACTS. 1. Terms, i. Bills of Exchange. 2. Inland Exchange. 3. Foreign Exchange. 1. Draft. 2. Notes. 3. Checks. 4. Sight Bill. 5. Time Bill. 6. Indorsement. 7. Acceptance. ( i . To find the cost of a Bill at sight. * \ 2. The cost of a Bill given to find face. XII. DIRECT EX- CHANGE. 4. Cases, . 5. Rules. XIII. CIRCULAR EXCHANGE. Rule. ( i. Simple. XIV. PARTNERSHIP. ? 2. Compound. ( 3. Rules. 1 . Average time of payment. 2. Equated time of payment. ( I. When terms of credit begin at the same time. 2. When the debt has received partial payments, to find time for payment of the remainder. 3. When credit begins at different times. 4. To average accounts of both debt and credit. ( i. Current accounts. XVI. SETTLEMENT OF ACCOUNTS. \ 2. Settling or clearing. ( 3. Rule. XV. EQUATION OF PAYMENTS. 3. Cases. 14. Rule. CHAPTER X. ALLIGATION. I. ALLIGATION MEDIAL. II. ALLIGATION ALTERNATE. 1. Given the mean value and value of each, to find the pro- portion of each. 2. Given the mean value, the value of each, and quantity of one, to find the others. 3. Given the mean value, the value of each, and the entire quantity, to find quantity of each. III. CASES. IV. RULE. CHAPTER XL PROGRESSION. I. ARITHMETICAL. 1. First Term. 2. Last Term. 3. Common difference. 4. Number of terms. 5. Sum of terms. ARITHMETIC. 121 II. GEOMETRICAL. III. RULE. IV. INFINITE SERIES. 1. First Term. 2. Last Term. 3. Number of terms. 4. Ratio. 5. Sum of terms. CHAPTER XII. INVOLUTION AND EVOLUTION. f I. Terms \. INVOLUTION. li 2. Principles. II. EVOLUTION. i. Terms. Power. Degree. Exponent. 1. The square of a number contains twice as many figures as the number, or twice as many less one. 2. The cube of a number contains three times as many figures as the number, or three times less one or two. 3. The square of a number of tens and units equals the square of the tens, plus twice the tens into the units, plus the square of the units. 4. The square of a number of hundreds, tens and units, equals the square of the hundreds, plus two times the hundreds into the tens, plus the square of the tens, plus two times the sum of the hundreds and tens into the units, plus the square of the units. 5. The cube of a number of tens and units equals the cube of the tens, plus three times the square of the tens into the units, plus three times the tens into the square of the units, plus the cube of the units. 6. The cube of a number of hundreds, tens and units, equals the cube of the hundreds, plus three times the square of the hundreds into the tens, plus three times the hundreds into the square of the tens, plus the cube of the tens, plus three times the square of the sum of the hundreds and tens into the units, plus three times the sum of the hundreds and tens into the square of the units, plus the cube of the units. Square Root. Cube Root. Fourth Root. Sign. 122 TREASURY OF FACTS. II. EVOLUTION. 4. A pp It 'ca- tions of' Square Root. 2. Analytic method of Square Root. 3. Rule. ( i . The square of the hypotenuse equals the sum of the squares of the oth- 1. Right-an- er two sides. gled Trian- ( 2. The square of ei- gle. ther side equals the square of the hy- potenuse d i m i n- ished by the square of the other side. The areas of circles are as the squares of their Diame t ers, Radii, or Circum- ferences. 2. Similar sur- J 2. The areas of faces. | squares, similar Rectangles, and Tri- angles, are to each other as the squares of their like dimen- [ sions. 5. Analytic method of Cube Root. Rule. i. Similar volumes are to each oth- er as the cubes of their like dimen- 6. Applications of sions. Cube Root. 2. The like dimensions of similar volumes are to each other as the cube roots of the volumes. 7. Geometrical method of Cube Root. CHAPTER XIII. ANNUITIES AND MENSURATION. I. ANNUITIES. II. MENSURATION. 1. To find the amount at Simple Interest. 2. To find the amount at Compound Interest. 3. To find the present value at Simple Interest. 4. To find the present value" at Compound Interest. " I. Angle. 2. Right Angle. 3. Acute Angle. 4. Obtuse Angle. 1. Terms. \ ( i. Base. 5. Triangle. < 2. Altitude. 6. Polygon. ( 3. Hypotenuse. 7. Scalene. , X 8. Isosceles. ( The Area of a Triangle is equal to 2. Principle. < the Base multiplied by one-half the ( Altitude. ARITHMETIC. 123 II. MENSURATION. Parallelogram. Trapezpid. Trapezium. ' i . Rectangle. 2. Square. 3. Rhomboid. 4. Rhombus. III. THE CIRCLE. 3. Quadrilateral. \ [ 4. Principles (see below) : 1. The area of a Parallelogram equals the Base multiplied by the Altitude. 2. The area of a Trapezoid equals the Altitude multiplied by one-half the sum of the Parallel sides. 3. The area of a Trapezium equals the sum of the areas of the two triangles into which it may be divided. f i. The area of a circle equals the Square of the Radius by 3.1416. , The Circumference of a circle equals the Diameter multiplied by 3.1416. , The Diameter of a circle is equal to the Product of the Circumference by .3183. , The side of any square that can be inscribed in a circle, equals the Product of the Diameter by .7017106 or the Product of -the Circumference by .225079. The area of an ellipse equals the Product of one-half the two axes together, and that Product multiplied by 3.1416. The convex surface of a prism equals the Perimeter of the Ba^e multiplied by the Altitude. The contents of a Prism equals the Prod- uct of the area of the Base by the Alti- tude. i . The convex surface, of a Pyramid equals the Product of the Perimeter of the Base by one-half the slant height. The contents of a Pyramid equals the Product of the area of Base by one-third of the Altitude. The surface of a Cylinder equals the Product of the Circumference of the Base by the Altitude. , The contents of a Cylinder equals the Product of the area of the Base by the Altitude. The surface of a Cone equals the Product of the Circumference of Base by one-half the slant height. , The contents of a Cone equals the Product of the area of the Base by one-third 6f Alti- tude. The convex surface of the Frustrum of a Pyramid and Cone equals the sum of the Perimeters of the two Bases, multiplied by one-half the slant height. IV. VOLUMES. 5- i. Prism. 2. Pyramid. 3. Cylinder. 4. Cone. Frustrum of a Pyramid and Cone. 124 TREASURY OF FACTS. {2. The contents of a Frustrum is equal to the Square Root of the product of the two Bases, plus the sum of the Bases, multiplied by one- third of the Altitude. " i. The. surface of a sphere equals the square of the Radius multiplied by 4 and that Product by 3.1416. 2. The contents of a sphere equals the cube of the Di- ameter multiplied by .5236. 3. The size of any cube which may be cut from a sphere equals the square root extracted from the Quotient of the Square of the Diameter divided by 3. V. THE SPHERE.- SECTION XIX. ALGEBRA. CHAPTER I. DEFINITIONS, ETC. 1. Measure. 2. Currency. 3. Length. 4. Surface. 5. Volume. 6. Weight. 7. Time. 8. Angular measure. 9. Known Quantity. 10. Unknown Quantity. 11. Literal. 12. Numeral. ( I. First member. \ 2. Second member. VII. MONOMIAL. VIII. POLYNOMIAL. IX. BINOMIAL. X. TRINOMIAL. XI. RESIDUAL. XII. HOMOGENEOUS. XIII. RECIPROCAL. Positive. I. QUANTITY. II. COEFFICIENT. III. EXPONENT. IV. POWER. V. ROOT. VI. EQUATION. XIV. TERMS. 2. Negative. XV. SIGNS. XVI. AXIOMS. Similar. 4. Dissimilar. 5. Degree. 1. Addition. 2. Subtraction. 3. Multiplication. 4. Division. 5. Equality. 6. Inequality. 7. Radical. 8. Parenthesis. , 9. Vinculum. \ ' 10. Brackets. (I. The same quantity added to equals, their sum will be equal. 2. The same quantity subtracted from equals, their dif- ference will be equal. Horizontal. . Vertical. 126 TREASURY OF FACTS. XVI. AXIOMS. 3. If quantities be multiplied by the same number, their product will be equal. 4. If equals be divided by the same quantity, their quo- tients will be equal. 5. If the same quantity be both added to and subtracted from a quantity, their value will not be changed. 6. If a quantity be both multiplied and divided by the same number, the value will be the same. 7. Quantities equal to any other quantity, are equal to each other. 8. Like powers of equal quantities are equal. 9. Like roots of equal quantities are equal. 10. The whole of any quantity is equal to all of its parts. 11. The whole of any quantity is more than any of its parts. CHAPTER II. ENTIRE QUANTITIES. I. ADDITION. I. Cases. 2. Principles. 3. Sign. 4. Rule. I. Cases. II. SUBTRACTION. Principles. Sign. Rule. r I. Cases. III. MULTIPLICATION. Similar Terms. Polynomials. Only similar terms can be added. The sum of all the parts equals the whole. Only similar quantities can be sub- tracted. Polynomials. 1. The same number added to both Minuend and Subtrahend, does not change the value. 2. The same number subtracted from both, does not change the value. 3. The Minuend equals the Subtra- hend plus the Remainder. 4. The Subtrahend equals the Minu- end minus the Remainder. 1. When both factors are Monomials. 2. When one factor is a Polynomial. 3. When both factors are Polyno- mials. 4. To square a Binomial. 5. To find the Product of the sum and difference of two quantities. Both factors multiplied by the same does not change the Product. Both divided by the same does not change it. The same quantity added to, or subtracted from both, does not change the Product. . 2. Principles. ALGEBRA. 127 III. MULTIPLICATION It Principles. Sign. Rules. i. Cases. IV. DIVISION. 2. 3- 4- 2. Principles. - 3. Sign. 1.4. Rules. 4. Multiplying the Multiplier by a quantity multiplies the Prod- uct by that quantity. $. Dividing the Multiplicand by a quantity divides the Product by that quantity. 6. The Multiplicand equals the Multiplier divided into the Prod- uct. 7. The Multiplier equals the Product divided by the Multi- plicand. 8. The Product is of the same quantity as the Multiplicand. 1. When both terms are Monomials. 2. When one term is a Monomial. 3. When both terms are Polynomials. 4. When one term is a Polynomial. f i. Multiplying the Dividend multiplies the Quotient. Multiplying the Divisor divides the Quotient. Dividing the Divisor multiplies the Quotient. 4. Multiplying and dividing both Dividend and Divisor does not change the Quo- tient. 5. The Dividend equals the Divisor into the Quotient plus the Remainder. 6. The Divisor equals the Dividend di- vided by the Quotient. 7. The Quotient is of the same quantity as the Dividend. 8. The Remainder is of the same quantity as the Dividend. V. FORMULAS: 1st Formula. The square of the sum of any two quantities is equal to the square of first, plus twice the first multiplied by the second, plus the square of the second. id Formula. The square of the difference between any two quantities. is equal to the square of first, minus twice the Product of the second by the first, plus the square of the second. ^d Formula. The sum of two quantities multiplied by their difference, equals the difference of their squares. 4//< Formula. The sum of the squares of any two quantities, plus twice their Product, is divisible by their sum. yh Formula. The sum of the squares of any two quantities, minus twice their Product, is divisible by the difference of the quantities. {i. Monomials. 2. Polynomials. 3. Trinomials. 4. Binomials. VI. 128 TREASURY OF FACTS. VII. COMMON DIVISOR. VIII. MULTIPLE. i. Cases. 2. Principle. 3. Rule. i. Cases. 2. Principles. 3. Rule. Common Divisor. Greatest Common Divisor. ( The Greatest Common Divisor of two or more quantities, is the Product of all their common prime factors. Multiples, Common. ^i u j t jpi eS) Least Common. ' i. The Common Multiple of two or more quantities, is the Product of all their prime factors. 2. The Least Common Multiple of two or more quantities is the Product of all their prime factors, and no other. I. TERMS. II. SIGN. III. KINDS. CHAPTER III. FRACTIONS. 1. Denominator. 2. Numerator. 3. Fraction. 1. Apparent. 2. Real. 1. Mixed Quantity. 2. Simple. 3. Complex. IV. PRINCIPLES OF FRACTIONS : \st Principle. Any change in the Numerator produces a similar change in value. zd Principle. Any change in the Denominator produces an opposite change in value. $d Principle. Changing the sign of the Numerator, changes the real sign of the fraction. 4th Principle. Changing the sign of both Denominator and Numera- tor, does not alter the real sign. 5/// Principle. Changing the apparent sign changes the real sign. V. TRANSFORMATION : \st Transformation. To reduce an entire quantity to a fractional form. 20" Transformation. To reduce a Fraction to its lowest terms. $d Transformation. To reduce a Fraction to a Mixed Quantity. ^th Transformation. To reduce a Mixed Quantity to a fractional form. $th Transformation. To reduce Fractions to a Least Common De- nominator. 6th Transformation. To reduce Fractions of different Denominators to similar Fractions. VI. ADDITION. VII. SUBTRACTION. VIII. MULTIPLICATION. IX. DIVISION it An entire quantity by a Fraction. A Fraction by an entire quantity. A Fraction by a Fraction. A Fraction by an entire quantity. An entire quantity by a Fraction. A Fraction by a Fraction. ALGEBRA. 129 X. RULES. 1 . For Transformation. 2. For Addition. 3. For Subtraction. 4. For Multiplication. 5. For Division. III. TRANSFORMATION CHAPTER IV. EQUATIONS. 1. First term. ( i. Arithmetical equation. 2. Second term. 2. Algebraic equation. 3. Arithmetical. 3. Numeral equation. 4. Literal equation. 5. Identical equation. 6. Simple equation. 7. Quadratic equation. 8. Cube. ( i. First equation. 9. Degree. < 2. Second equation. ( 3. Third equation. I. Clearing of fractions, f I. Clear of fractions. I. TERMS. II. KINDS OF EQUATIONS. is Transposing. Solving equations. IV. PROBLEMS IN EQUATIONS, j \ V. AXIOMS (see Axioms on pp. 125, 126, ante). VI. EQUATIONS OF TWO OR MORE UNKNOWN QUANTI- TIES. VII. RULES. Elimination. 2. Transpose. 3. Unite the terms. 4. Divide, 5. Verify. 1. Translate. 2. Solve. 1. By Substitution. 2. By Comparison. 3. By Addition. 4. By Subtraction. I. POWERS. CHAPTER V. POWERS AND ROOTS. i. Terms. 1. Power. 2. Square. 3. Cube. 4. Perfect power. 5. Imperfect. 6. Involution. 2. Powers of Monomials. 3. Powers of Fractions. 4. Powers of Binomials. 1. The number of terms. 2. The Sign of terms. 3. The Exponents of the letters. 4. The Coefficients of the Terms. 5. The Law of Coefficients (see below) : 130 TREASURY OF FACTS. The Coefficient of any term may be obtained by multiplying the Coeffi- cient of the preceding term by the Exponent of the leading quantity in that term, or by the number of the term from the last, and by the Coefficient of the following quantity in the foot, and dividing this result by the product of the Coefficient of the leading quantity in the root, multiplied by the number of term from the first. {I. Evolution. 2. Root. 3. Index. 4. Surd. 2. Roots of Monomials. II. ROOTS. \ 3 . Roots of Polynomials. 4. Square Root. 5. Cube Root. .6. Principles. CHAPTER VI. RADICALS. SI. To its simplest form. 2. A Rational to a Radical. 3. Of different degrees to a common Radical Index. II. ADDITION OF RADICALS. III. SUBTRACTION OF RADICALS. IV. MULTIPLICATION OF RADICALS. \ \ ^ Sfferemdegrees. V. D,v,s,ON OF RADICALS, j g< 1. For Reduction. 2. For Addition. ,~ or f u__i, VI. RULES FOR RADICALS 3. For Subtraction. 4. For Multplication. 5. For Division. VII. PRINCIPLES OF INVOLUTION AND EVOLUTION: ist Principle of Involution. If a radical quantity be involved to a power corresponding to the Radical Index, the Radical sign will be removed. id Principle of Involution. If a quantity containing both radical and rational terms be raised to any power, the Radical sign will remain. $d Principle of Involution. If a quantity consisting of two radical terms of the second degree be squared, the result will contain but a single radical term. ist Principle of Evolution. The Exponent of a quantity will be re- moved by extracting the root whose index corresponds to the Expo- nent. id Principle of Evolution. The root of a Binomial is necessarily a Surd, and a Binomial always becomes a Radical by Evolution. $d Principle of Evolution. A Trinomial is a perfect square when two of its terms are perfect squares and Positive, and the remaining term is twice the product of the square roots of the others, and either Pos- itive or Negative. VIII. EQUATIONS CONTAINING RADICAL QUANTITIES. IX. RULES FOR EQUATIONS IN RADICALS. ALGEBRA. CHAPTER VII. QUADRATICS AND PROGRESSION. First. QUADRATICS. Pure. Affected. Roots. U: I. TERMS. II. PROBLEMS. \ i' , p # : fa i ) i. First method. In affected. j 2 SecQnd method 1. Complete the square. 2. Extract the root. 3. Transpose. 4. Unite the terms. 5. Extract the root. V. FACTORING TRINOMIALS. Second. PROGRESSION. III. EQUATIONS. IV. POLYNOMIALS. I. ARITHMETICAL. 1. Extremes. 2. Means. 3. Terms. 4. Cases. II. GEOMETRICAL. 5. Applications. 1. Ascending. 2. Descending. 3. Ratio. To find the last term. To find the sum of the series. ' i. First term. 2. Common difference. 3. Number of terms. 4. Last term. 5. Sum of terms. 6. Formulas. 7. Problems. 8. Rule. f* j i. AU find the lasa tcnu. J ' ] 2. To find the sum of the Series. 5. Infinite Series. 6. Geometrical means. 1. First term. 2. Ratio. 7. Applications. ! 3. Number of terms. 8. Problems. 4. Last term. 1 9. /?/<?. [ 5. Sum of terms. SECTION XX. GEOMETRY. CHAPTER I. TERMS USED AND LANGUAGE OF GEOMETRY. I. LINES AND ANGLES. 1. Magnitude. 2. Point. 3. Line. 4. Surface. 5. Plane. 6. Volume. .7. Angles. II. PLANE FIGURES. I. Polygon. 1. Scalene. 2. Equilateral. 3. Right angle. 4. Acute angle. 5. Obtuse angle. 6. Isosceles an- gle. III. AXIOMS. 1. Straight. 2. Curved. 3. Crooked. 4. Parallel. 5. Horizontal. 6. Vertical. 7. Oblique. 1. Plane. 2. Adjacent. 3. Right angle. 4. Acute angle. 5. Obtuse angle. 6. Triangle. 7. Interior angle. 8. Exterior angle. 1. Quadrilateral. 2. Pentagon. 3. Hexagon. 4. Heptagon. 5. Octagon. 6. Nonagon. 7. Decagon. !i. Trapezium. 2. Trapezoid. 3. Parallelogram. Square. Rhomboid. Rhombus. 1. Circumference. 2. Diameter. ( 3. Radius. 1. Things which equal the same things, equal each other. 2. Equals added to equals, the sum will be equal. 3. Equals subtracted from equals, the Remainder will be equal. 4. Equals" added to unequals, the sum will be unequal. 5. Equals subtracted from unequals, the Remainder will be unequal. 6. If equals be multiplied by equals the Product will be equal. 3. Rectangle (I. Sq . \ 2. Rl S- Ri GEOMETRY. 133 t 7. If equals be divided by equals the Quotient will be equal. III. AXIOMS. < 8. The whole is greater than any of its parts. ( 9. The whole is equal to all of its parts. IV. COROLLARY. V. SCHOLIUM. VI. PROBLEMS. VII. POSTULATE. VIII. HYPOTHESIS. IX. THEOREMS, AND i. Of Angles. ist. When any straight line meets another, the sum of the two adjacent angles equals two right angles. 'zd. When two straight lines intersect each other, the opposite, or verti- cal angles, are equal. 3d. Two angles which have their sides respectively parallel, and lying in the same direction, or in opposite directions, are equal. 4/A. If two triangles have two sides, and the included angle of the one equal to two sides and the included angle of the other, each to each, the triangles will be equal in all their parts. $th. If two triangles have two angles, and the included side of the one equal to two angles and the included side of the other, each to each, the triangles will be equal in all their parts. 6th. If two triangles have two sides of the one equal to two sides of the other, each to each, and the included angles are equal, the third side will be greater in the triangle, having the greater included angle. 1th. If two triangles have the three sides of the one equal to the three sides of the other, each to each, the triangles will be equal in all their parts. 8tA. In an isosceles triangle the angles opposite the equal sides are equal. 9/A. If two angles of a triangle are equal, the sides opposite them are also equal, and the triangle is isosceles. io///. In any triangle the greater side is opposite the greater angle, and conversely, the greater angle is opposite the greater side. nth. In every triangle the sum of the three angles is equal to two right angles. 2. Of Quadrilaterals. ist. In any parallelogram the opposite sides and angles are equal, each to each. id. If the opposite sides of a quadrilateral are equal, each to each, the equal sides are parallel, and the figure is a parallelogram. yi. If two sides of a quadrilateral are equal and parallel, the figure is a parallelogram. 4/A. The diagonals of parallelograms bisect each other, and the sum of their squares is equivalent to the sum of the squares of the four sides of the parallelogram. 3. Of Polygons, ist. Similar polygons may be divided into the same number of trian- 134 TREASURY OF FACTS. gles ; and to each triangle in one of the polygons there will be a cor- responding triangle in the other polygon. These triangles are simi- lar and similarly situated. zd. The perimeter of similar polygons are to one another as their homol- ogous sides ; and their areas to one another as the squares of their homologous sides. 3*/. If the sides of a convex polygon be produced so as to form one ex- terior angle at each vertex, the sum of the exterior angles will be equal to four right angles. 4. Of Proportion. i st. If four quantities are in proportion, they will be in proportion by alteration. 2d. If four quantities be in proportion, the product of the means will equal the product of the extremes. $d. Magnitudes which are proportional to the same proportionals, are proportional to each other. 4/A. If the product of two magnitudes equals the product of two other magnitudes, two of them may be made the means, and two the ex- tremes of a proportion. $th. If four quantities are proportional, the sum of the first and second is to their difference as the sum of the third and fourth is to their dif- ference. 6th. The product of the corresponding'terms of two proportions are proportional. "jth. If four quantities are proportional, we can multiply the antece- dents or consequents, or divide them by the same quantity, and the results will be proportional. 8tA. If three quantities are in proportion, the first is to the third as the square of the first is to the square of the second. 5. Squares on Lines. 1st. The square described on the sum of any two lines, is equal to the sum of the squares described on the lines, plus twice the rectangle of the lines. zd. The square described on the difference of two lines, is equal to the sum of the squares described on the two lines, diminished by twice the rectangle contained by the lines. 3</. The difference of the squares described on any two lines, is equal to the rectangle contained by the sum and difference of the lines. 4/A. The square described on the hypotenuse of any right-angled tri- angle, is equal to the sum of the squares described on the other two- sides. 5///. In any obtuse-angled triangle, the square of the side opposite the obtuse angle is equivalent to the sum of the squares of the other two- sides, plus twice the product of the base into the distance from the vertex of the obtuse angle to the foot of the perpendicular drawn from the vertex of the opposite angle to the base produced. 6th. In any triangle, the squares on a side opposite an acute angle is less than the sum of the squares on the other two sides, by twice the GEOMETRY. 135 rectangle contained by either of these sides, and the distance from the vertex of the acute angle to the foot of the perpendicular let fall on this side, or side produced, from the vertex of the opposite angle. 6. Of Similar Triangles. \st. Triangles which have their corresponding sides proportional are similar. 2d. If any triangle have its sides respectively proportional to the like sides of any other triangle, each to each, then the two triangles will be equiangular and similar. $d. Two triangles having an angle in one equal to an angle in the other, and the sides about these equal angles proportional, are equi- angular and similar. ^th. Triangles which have their sides parallel, each to each, or perpen- dicular, each to each, are similar. 7. Of the Circle. \st. Equal angles at the centre of a circle are subtended by equal chords. id. Any radius which is perpendicular to a chord bisects the chord, and also the arc subtended by the chord. 3^. A circumference may be made to pass through three points which are not in the same line. \th. In equal circles, equal chords are equally distant from the centre. }th. Parallel lines intercept equal arcs on the same circumference. 6th. If two circles touch each other, either internally or externally, the two centres and the point of contact will be on the same line. 8. Of Measurement of Angles. ist. An angle having its vertex at the centre of a circle, is measured by the arc included between its sides. id. An angle formed by a secant and a tangent, is measured by one- half of the difference of the intercepted arcs. yl. An angle formed by two chords which intersect, is measured by half the sum of the included arcs. tfh. When two chords intersect each other in a circle, the rectangle contained by the segments of the one, will be equal to the rectangle contained by the segments of the other. $th. If two secants intersect each other at right angles, the sum of then- squares, increased by the sum of the squares of the two segments without the circle, will be equal to the square of the diameter of the circle/ 6/A. The sums of the opposite sides of a quadrilateral circumscribing a circle are equal. 9. Of the Circumference and Area of Circles. \st. The circumference of circles are as their radii, and their areas as the squares of the radii. 136 TREASURY OF FACTS. id. The area of any circle is equal to the product of its radius by one- half of its circumference. $d. The areas of any two circles are to each other as the squares of their diameters. 4/^. When the radius of a circle is unity, its area and circumference are numerically equal. 10. Of Planes and their Angles. \st. If two Planes meet each other, their common points will be found in, and form one straight line. 2^. If a straight line is perpendicular to two straight lines of a plane at the point of their intersection, it is perpendicular to the plane of those lines. 3*/. If two straight lines are perpendicular to the same plane, they will be perpendicular to each other. qth. The line which joins any point of a perpendicular to a plane, with a point in which a line in the plane is intersected, at right angles, by a line through the foot of the perpendicular, will be at right angles to the line in the plane. $M. If a plane meet two parallel planes, the lines of intersection are parallel. 6th. If two straight lines be drawn in any direction through parallel planes, the planes will cut the lines proportionately. Jth. Either of the three plane angles which form a triedral angle, is less than the sum of the other two. 8M. The sum of the plane angles forming any polyedral angle, is less than four right angles. gth. If two solid angles are formed by three plane angles respectively equal to each other, the planes which contain the equal angles will be equally inclined to each other. ii. Of Solids. \st. The convex surface of a right prism is equal to the perimeter of the base multiplied by the altitude. id. If three plane faces bounding a solid angle of one prism, be equal to the three plane faces bounding a solid angle of another, each to each, and similarly disposed, the prisms will be equal. $d. The opposite faces of a parallelopipedon are equal and parallel. 4/^. Two parallelopipedons having equal bases and equal altitudes are equal. $tk. The volume of any parallelopipedon, and in general any prism, is measured by the product of its base and altitude, or the product of its three dimensions. 6th. Similar triangular prisms are to each other as the cubes of their like dimensions. 7th. The two triangular prisms into which any parallelopipedon is di- vided, by a plane passing through its opposite diagonal edges, are equal. 3M. The volume of any prism is measured by the product of the area of its base and altitude. GEOMETRY. 137 12. Of the Pyramid, Cylinder, Cone, etc. is/. The cortvex surface of a right pyramid is equal to the perimeter of the base multiplied by one-half the slant height. id. If two triangular pyramids have equivalent bases, and equal alti- tudes, they are equal in volume. yi. The volume of any pyramid is measured by one-third of the prod- uct of its base and altitude. 4th. The volume of a frustrum of a triangular pyramid is equal to the sum of the volumes of three pyramids, whose common altitude is the altitude of the frustrum, and whose bases are the lower base of the frustrum, the upper base of the frustrum, and a mean proportional between two bases. $th. The volume of a cylinder is equal to the area of its base multiplied by its altitude. 6th. The convex surface of a cylinder is equal to the circumference of its base multiplied by its altitude. 7th. The volume of a cone is measured by the area of its base multi- plied by one-third of its altitude. $>th. The convex surface of a frustrum of a cone is equal to one-half of the sum of the circumferences of the upper and lower bases, multiplied by the slant height. 9/^. The volume of the frustrum of a cone is equivalent to the sum of the volumes of three cones, having for their common altitude the altitude of the frustrum, and for their several bases the bases of the frustrum and a mean proportional between them. \Qth. The surface of a sphere is measured by the circumference of one of its great circles multiplied by its diameter. nth. If a regular semi-polygon be revolved about its axis, the surface generated by the semi-perimeter, will be equal to the circumference of the inscribed circle multiplied by the axis. I2lh. The volume of a sphere is to the volume of the circumscribed cylinder, as the surface of the sphere is to the surface of the cylinder. i $th. The volume of a sphere is equal to its surface multiplied by one- third of its radius. 13. Of Spherical Geometry. \st. Any side of a spherical triangle is less than the sum of the other two. id. Any side of a spherical polygon is less than the sum of the other two. yi. The sum of the sides of a spherical polygon is less than the circum- ference of a great circle. 4/h. If from the vertices of the angles of a spherical triangle, as poles, arcs be described forming a spherical triangle, the vertices of the an- gle of the second triangle will be respectively poles of the sides of the first. $th. The sum of the angles of a spherical triangle is less than six right angles and greater than two. 6th. If two triangles on the same, or on equal spheres, are mutually equiangular, they are also equilateral. jth. If two circumferences of great circles intersect on the surface of a hemisphere, the sum of either two of the opposite triangles thus 138 TREASURY OF FACTS. formed is equal to a line whose angle is equal to that formed by the circles. . The area of a spherical polygon is equal to its spherical excess multiplied by the tri-rectangular triangle. 14. Mensuration. I. TRIANGLE. II. PARALLELOGRAM III. TRAPEZOID i IV. TRAPEZIUM. V. POLYGONS. VI. CIRCLE. VII. ELLIPSE. VIII. PRISM. IX. PYRAMID. 1. The area of a triangle equals the base multiplied by one-half the altitude ; or, 2. The square root extracted from the continued product of the differences between each side, and the one-half of the sum of the sides, multiplied by the half sum of the sides. \ The area of a parallelogram is equal to the product ' \ of the base by the altitude. The area of a trapezoid is equal to the product of the altitude by one-half the sum of the parallel sides. The area of a trapezium is equal to the sum of the areas of the two triangles into which it may be di- vided. The area of regular polygons is equal to the product of one-half the perimeter multiplied by the perpendicu- lar let fall from the centre on one of the sides. The area of irregular polygons is equal to the sum of the areas of the triangles into which the polygon may be divided. 1. The area of a circle equals the diameter multiplied by 3.1416. 2. The length of an arc equals the number of degrees mul- tiplied by the radius, and this product by .01745. 3. The area of a circle is equal to the circumference multi- plied by one-fourth of the diameter, or the square of the diameter multiplied by .7854. 4. The area of a sector is equal to the arc multiplied by one-half the radius. 5. The area of a circular ring is equal to difference of the squares of the radii multiplied by 3.1416. 6. The side of an inscribed square is equal to the diameter multiplied by .7071, or, the circumference multiplied by 2251. i The area of an ellipse is equal to the product of half of ( the two axes, multiplied by 3.1416. 1. The convex surface of a right prism is equal to the prod- uct of the perimeter of the base by the altitude. 2. The entire surface equals the convex surface plus the bases. 3. The contents of a prism equals the area of the base mul- tiplied by the altitude. 1. The convex surface of a right pyramid is equal to the perimeter of the basejnultiplied by one-half - the slant height. 2. The contents of a pyramid equals the base multiplied by one-third the altitude. GEOMETRY. 139 X. CYLINDER. XI. CONE. XII. THE FRUSTRUM. XIII. SPHERE. XIV. CYLINDRICAL RINGS. {I. The convex surface of a cylinder equals the circumfer- ence of the base multiplied by the altitude. 2. The contents of a cylinder equals the area of the base multiplied by the altitude. The surface of a cone equals the circumference of the base into one-half of the slant height. The contents of a cone equals the area of the base into one-third of the altitude. The surface of the frustrum of a pyramid or cone equals the sum of the circumferences of the two bases, multiplied by one-half the slant height. The contents of the frustrum of a pyramid or cone, equals the square root of the product of the two bases, plus the sum of the two bases, and this multiplied by one-third of the altitude of the frustrum. 1. The surface of a sphere equals the circumference mul- tiplied by the diameter, or, 2. The square of the radius multiplied by 4 and 3.1416. 3. The surface of a zone equals the height of the zone multiplied by the circumference of a great circle of the sphere. 4. The contents of a sphere equals the surface multiplied by one-third of the radius, or, 5. The cube of the diameter multiplied by of 3.1416. f The surface of a cylindrical ring equals the J thickness of the ring plus the inner diam- eter, multiplied by the thickness of the I ring, and this multiplied by 9.8696. SECTION XXI. TRIGONOMETRY. 1. Plane Trigonometry. 2. Solution. 3. Quadrant. 4. Complement. 5. Supplement. I. TERMS. { 6. Sine. 7. Cosine. 8. Tangent. 9. Cotangent. 10. Secant. 11. Cosecant. , The sine of an arc equals the sine of its supplement, and also the cosine of an arc equals the cosine of its supplement. , The tangent and cotangent of an arc are respectively II. PRINCIPLES. equal to the tangent and cotangent of the supplement of the arc. . The secant and cosecant of an arc are respectively equal to the secant and cosecant of the supplement of the arc. , The sum of the sines of any two arcs is to the dif- ference of the same sines, as the tangent of one-half the sum of the same arcs is to the tangent of one-half of their difference. , In any plane triangle, the sides are proportional to the sines of the opposite angles. 3. In any plane triangle, if a line is drawn from the ver- tical angle perpendicular to the base, then the whole base will be to the sum of the other two sides as the III. THEOREMS. <! difference of those sides is to the difference of the segments of the base. 4. The hypotenuse is to either side, as the radius is to the sine of the angle opposite to that side. 5. One side of a right-angle triangle is to the other side, as the radius is to the tangent of the angle adjacent to the first side. 6. One side of a right-angle triangle is to the hypote- nuse, as the radius is to the secant of the angle adja- cent to that side. !i. Any two sides of a spherical trian- gle are together greater than the third side. TRIGONOMETRY. IV. SPHERICAL TRIGONOMETRY. V. OBLIQUE-ANGLED. VI. PRACTICAL PRINCIPLES. <( 2. The sum of the three sides of any spherical triangle, is less than the circumference of a great circle. 3. In any right-angled spherical tri- angle, the sine of one side is to the tangent of the other side, as the ra- dius is to the tangent of the angle adjacent to the first mentioned side. 4. In any right-angled spherical tri- angle, the sine of the right angle is to the sine of the hypotenuse, as the sine of either of the other an- gles is to the sine of side opposite to that angle. 1. In aii spherical triangles, the sines of the sides are u> each other as the sines of the angles op- posite to them. 2. If from any angle of a spherical triangle, a perpendicular be let fall on the base, or on the base produced, the tangents of the segments of the base will be reciprocally proportional to the cotangents of the segments of the angle. 3. The same construction remaining, the sines of the segments of the base are to each other as the cotangents of the adjacent angles. 4. The cosine of any of the angles of a spherical triangle, is equal to the product of the sines of the other two angles multiplied by the cosine of the included side, minus the product of the cosines of these other two angles. " I. The sine of the sides of spherical trian- gles are proportional to the sines of their opposite angles. 2. The sines of the segments of the base, made by a perpendicular from the op- posite angle, are proportional to the co- tangents of their adjacent angles. 3. The cosines of the angles at the base are proportional to the sines of the cor- responding segments of the vertical an- gle. 4. The cosines of the segments of the ver- tical angle are proportional to the co- tangents of the adjoining sides of the triangle. SECTION XXII. ASTRONOMY. CHAPTER I. DEFINITIONS, ETC. I. TERMS. 1. Extension. 2. Line. 3. Point. , 4. Surface. 5. Circle. ! 6. Plane. 7. Tangent. * 8. Semicircle. 9. Angle. 10. Parallels. n. Ellipse. 1 |gW }i Sl^re. . dinner e. < r j * > /-. ] 3. Radius, f i. Great. [ 4. Circle. -| 2. Small. 3. Poles. Straight. Curved. 1. Diameter. 2. Circumference. 3. Radius. 4. Arc. 1. Angle of vision. 2. Right Angle. 3. Acute Angle. 4. Obtuse Angle. 5. Triangle. 14. Sphere. l,5.*** ji-gg* 1. Apparent motions. 2. Primary Planets. 3. Secondary Planets. 4. Stars. 5. Comets. 6. Luminous. II. THE HEAVENLY BODIES. III. THE SUN. 7. IV. THE PLANETS.- i. Primary. Opaque. " i. Mercury. 2. Venus. 3. Earth. 4. Mars. 5. Jupiter. 6. Saturn. 7. Uranus. 8. Neptune. Planets. 6. Aphelion. 7. Ascending nodes. 8. Descending nodes. ASTRONOMY. IV. THE PLANETS. 9. Distance from sun. 10. Time to make revolution. n. 12. f i. Conjunction.] 2. Quadrature. < 2 ' 17 Avbect i m v: uau '< tl - u c L 13. Aspect. <j 3 Opposition 4. Elongation. Inferior. Superior. CHAPTER II. PLANETS IN THEIR ORDER. I. THE EARTH. North. South. 2. Latitude. Parallels. 3. Longitude. Meridians. f i. Sensible. 2. The Dip. 3. Rational. 4. Poles. I. Poles. 4. Horizon. ( i. Zenith. \ 2. Nadir. 6. Circles of perpetual apparition. 7. Circles of perpetual occultation. Parallax. 9. Refraction. 10. 1. Ecliptic or Equinoctial. 2. Obliquity of Ecliptic. Equinox. 6. Signs of Ecliptic. 7. Zodiac. f>. Tropic, j; : [g=/ orn 1 1 . Day and night. 12. Seasons. 1. Cause. 2. Names. 4. Dawn. 1. Spring. 2. Summer. 3. Autumn. 4. Winter. II. THE SUN. ( I. Frigid. 13. Zones. \ 2. Temperate. ( 3. Torrid. 14. Shape and size. {i . Solar day. 2. Mean solar day. 3. Equation of time. 4. Sidereal year. 5. Tropical year. Si. Distance from earth (95,000,000 miles). 2. Apparent diameter (852,900 miles). 3. Figure (sphere). 144 TREASURY OF FACTS. j-4- The ^-o.^ 2 Variability- II. THE SUN. 5- Rotation (25$ days). 6. Revolution. 1 7. Zodiacal light. 1. Perigee. 2. Apogee. 3. Diameter (2162 miles). 4. Phases. 5. Synodical period (29$ days). 6. Harvest moon. 7. 77/ Polar regions. 8. Moonlight in winter. 9. Rotation (27$ days). 10. Lunar orbit. 11. Librations of moon. 12. Position of Lunar axis. . 1 3. Lunar m o un t a in s.\ ' \ 2 - III. THE MOON. 15- 1 6. Shadow. 17. 7>V/<?j. IV. MERCURY. 14. Irregular motion. 1. Solar. 2. Lunar. 1. Length (228,000 miles). 2. Breadth (128 miles). Flood. Ebb. Diameter (3000 miles). 2. Rotation (24 hours}. 3. Revolution. Copernicus. Height of mountains. < i. Sidereal (88 days). / 2. Synodic (116 days). V. VENUS. VI. MARS. , 2. Time of occurrence. 4. Elongation (28^). 5. Light and heat. 6. 7- 1. Phases. 2. Diameter (7510). 3. Mountains. 4. Rotation (23 hours). 5 . Revolution. J ' idereal < 22 4* days). 6. Seasons. 7. Transits. 1 8. Apparent motion. 1. Phases. 2. Apparent motions. 3. Inclination. 4. Diameter (4300 miles). 5. Rotation (24$ hours). Synodic (584^ days). VII JUPITER ' 1. Diameter (85,000). 2. Rotation (10 hours nearly). ASTRONOMY. VII. JUPITER. VIII. SATURN.-! IX. URANUS. X. NEPTUNE. '4. Oblateness (5000). 5. Velocity (5000 miles in minute). 6. Belts. , T.U xi,, m K f * 2 3 miles. ^^^^i^afiSiil; 1. Inclination. 1 J- 34OO mi es. 2. /fo/ a /w (io* *H,rj). I* *9 miles ' 7 Revolution \ l - sidereal ( IO -759 days, or, 29* years). 3. Kevolutzon. j 2 Synodical (3?8 days)i 4. Diameter (74,000). 5. Oblateness (7800). (i. Interior. 2. Anterior. 3. Rotation. I 4. Stability. [ 5. Appearance. (" i. Mimas. 2. Enceladus. 3. Tethys. 4. Dione. 5. Rhea. 6. Titan. 7. Hyperion. 8. Japetus. 1. Eccentricity (82,000,000 miles). 2. Inclination (46$')- 3. Diameter (33,247). 4. Rotation (unknown). 5. **/&. i ' Sidereal <3-68 7 days). 1 6. Satellites. 8. Satellites. Synodic (369.65 days). T i. Ariel. J 2. Umbriel. 1 3. Titania. [4. Oberon. 1. Eccentricity (24,000,000 miles). 2. Inclination (if ). 3. Diameter (37,000). 4. Revolution. ' idereal (60,127 days). 5. , ' i 2 - CHAPTER III. MINOR PLANETS, COMETS. ETC. 1. Average distance from sun (260,000,000). 2. Inclination of their orbits. 3. Eccentricity. 4. Largest (Pallas). 5. Brightest (Vestor). 6. Faintest (Atalanta). 7. Their natural attraction. 8. Affected motions. 9. Their masses. I. MINOR PLANETS. 146 TREASURY OF FACTS. II. COMETS. 1. Parabolas. 2. Hyperbolas. 3. Elements. 4. Elliptic comets. 5. The number (From 4000 to 5000). 6. Their size. 7. Masses and densities. 8. Tails. 9. Remarkable Comets. r i. Meteors. III. METEORS AND STARS. IV. NEBULA. Stars. 1. Of 1680 (Tail 120,000,000 miles). 2. Halley's Comet. 3. Lexell's Comet. 4. Comet of 1774 (six tails). 5. Biela's Comet. 6. Comet of 1811 (Tail 25 long and 6* wide). 7. Donati's Comet. [8. Comet of 1861 (Tail 100 long). 1. Meteoric epochs. 2. Fire Balls. Annual Parallax. 1. Sirius. 2. Regulus. 3. Arcturus. 4. Whole number (109). I 5. Northern Constella- tion. 6. Zodiacal Constella- tion. 7. Southern Constella- tion. 2. Magnitudes. 3. Constellations. 4. Star names. 5. Star figures. 6. Apparent places. 7. Solar Nutation. 8. Aberration. 9. Galaxy. 10. Proper motion of stars. 11. Multiple stars. . 1 i. Orbits. 12. Binary, j 2 periods 13. Constitution of stars. 14. Variable stars. 15. Clusters. 1. Distance. 2. Elliptic. 3. Annular. 4. Spiral. 5. Planetary. 6. Stellar. 7. Nebulous. 8. Irregular Nebula. 9. Double Nebula. 10. Variable Nebula. SECTION XXIII. METHODS OF INSTRUCTION, OR THE ART OF TEACHING. I. THE ELEMENTS. OF KNOWLEDGE. CHAPTER I. LANGUAGE AND PHYSICAL SCIENCE. ' I . Should teach to exercise the senses. 2. Should teach to speak correctly. 3. Pupils should be inspired to seek for knowledge. 4. The teaching should be such as would inspire a love for the good and the true. 5. The elements of the Arts should be taught. ' i. Their design. 2. The matter for lesson. 3. Preparation for lesson. 4. Manner of conducting les- son. f i. Taught from books. 2. Taught from cards. 3. Taught from black- board. 4. Taught from blocks. 1. Names of pictures. 2. Names of words. 3. Names of letters. 1. The alphabetic method. 2. Phonic alphabetic method. 3. Phonetic alphabetic method. 4. By Association. 5. Eclective method. 1. Oral spelling. 2. Writing on slates. 3. Writing on blackboards. 4. Poor spelling. 5. Dictation exercises. Pronunciation, j J; Articulation. II. INSTRUCTIONS IN LANGUAGE. 6. Should teach Object lessons. I. Prim a ry Reading. The A, B, C, Method. The Word Method. 2. Pronunciation. 3. Orthography. 4. Reading as an Art. Modu- lation. fi. Pitch. 2. Force (.3- Is Accent. 1. Low. 2. Medium. 3. High. Loud. Moderate. Gentle. 148 TREASURY OF FACTS. 1. Pure. 2. Orotund. (-2. Mpdu- ( 3. Qual- I 3. Guttural. lation. \ ity. ] 4. Aspirated. 3. Expression. j 5. Pectoral. . 4. Posture. [6. Tremulous. -4. Reading , 5, Gesture. (" i. Prominent words. J Art, \ o DpfinP wnrHc II. INSTRUCTIONS IN LANGUAGE. 6. Analyze Subject. 2. Define words. 3. Define sentences. 4. Explain language. 5. Explain marks. c i. Parts of speech. 5. Gram- mar. 6. Bring out sentiment. 7. Give manner of de- livery. 8. Tell why. 1. Begin at verbs. 2. Nouns. 3. Adjectives. 4. Adverbs. 5. Pronouns. 6. Preposition. 7. Conjunction. 8. Interjection. 1. Use words. 2. Phrases. 3. Clauses. 2. Build sen- tences ^ 6. E 1 e- ments. 6.Rheto-\ i. Dis- ric. \ course. 4. Give subject. 5. Give predicate. 1. Adjective. 2. Adverbial. 3. I n d e p e n- dent. 4. Connectives. 1. Orations. 2. Lectures. 3. Essays. 4. Fictions. 5. Narratives. 6. Letters. f i. Epic. 2. Lyric. 3. Pastoral. i. Prose. 2. Poetry. 3. Qualities of Dis- course. 4. Didactic. 5. Dramatic. 6. Satires. 1. Purity. 2. Propriety. 3. Precision. 4. Perspicuity. 5. Strength. 6. Euphony. 7. Harmony. 8. Unity. METHODS OF INSTRUCTION. 149 (6. Rheto- ric. II. INSTRUCTIONS IN LANGUAGE. III. GEOGRAPHY. IV. HISTORY. i. Dis- course. 2. Compo- sition. 1. Dry. 2. Plain. 3. Neat. 4. Style of 4. Elegant. Dis- t Florid. course. 6. Simple. 7. Labored. 8. Concise. [ 9. Nervous. 1. Teach conversation upon familiar subjects. 2. Reproduce reading les- sons. 3. Write about familiar sub- jects. 4. Write from dictation ex- 7. Logic. ercises. 5. Correct faulty sentences. 6. Reproduce narratives read by teacher. 7. Assign simple subjects. 8. Teach higher composition. 1. Teach its definitions and use. 2. Teach its inductions. 3. Teach its demonstrations. [ 4. Teach its applications. 1. Teach familiar objects in school-room. 2. Teach similar objects around school premises. 3. Teach similar objects at a distance. 4. Teach the measure of distance by objects at differ- ent points in the room. 5. Enlarge upon distance from school-room to places in the neighborhood. 6. Expand to different places in the District. 7. Go from one inch, to one foot, then the number of feet in a mile, and to the whole distance from place to place. 8. Teach direction, first in the room, after, as distance 9. Teach from maps and globes. 10. Teach geographical terms. 11. Teach township geography. 12. Teach map drawing. 13. Teach particular geography. 14. Teach the earth as a whole. 15. Teach the form and size of the earth. 16. Teach the motions of the earth. 17. Physical construction of the earth. 1 8. Plants, animals, and minerals. 19. Political geography. 20. The Earth as a planet. 21. Its relation to the other heavenly bodies. 1. Teach familiar facts. 2. Teach that any fact is history. TREASURY OF FACTS. 3. Teach that facts compiled make history. 4. Have pupils repeat facts. 5. Teach strong facts. 6. Teach interesting facts. 7. Inspire a love for history. IV. HISTORY. -I 8. Then show how facts connected make up the contin- uous history of the country. 9. Don't dwell upon dates, except the very important. 10. Teach the relation existing between facts. n. Teach contemporaneous history. 12. Teach the philosophy of history. I. ARITHMETIC. I. Elementary. CHAPTER II. MATHEMATICS AND ART. 1. Teach to count ; Blackboard ex- ercises in counting marks, etc. 2. Teach to make figures. 3. Teach to write numbers by fig- ures. 4. Teach to read numbers. 5. Teach to add numbers. 6. Teach to subtract numbers. 7. Teach to multiply numbers. 8. Teach to divide numbers. 9. Teach principles of Addition, Sub- traction, etc. 10. Be thorough in teaching princi- ples. n. Teach the combination of num- bers. 12. Teach practical problems in the four rules. 13. Apply their knowledge to every- day business. 1. Teach the relation of numbers to numbers. 2. Teach the relation of numbers to fractions. 3. Teach the relation of fractions to numbers. 4. Teach the relation of fractions to fractions. 5. Teach factoring. 6. Teach Common Divisor. 7. Teach Common Multiple. 8. Drill thorough on these principles. Teach them orally. They are only concrete numbers, the denominator naming the object. 2. Relation of numbers. (I 3. Fractions. J 2, METHODS OF INSTRUCTION. f 3. Fractions, I. ARITHMETIC. 4. Decimals. Down. 3. The different kinds. 4. The methods of operation. 5. Teach the principles. 6. Teach them practically, or written. 7. Teach pupils to form problems em- bracing simple fractions. 8. Give plenty of practical problems out- side of the book. 9. Teach application of rules as de- rived from solutions. 1. Teach to write decimals. 2. Be thorough on the place of point. 3. Teach to read decimals. 4. Teach to add decimals. 5. Teach to subtract decimals. 6. Teach to multiply decimals. 7. Teach to divide decimals. I 8. The principles. 9. The application of decimals to Uni- ted States money. 10. Their application to per cent., etc. 11. Teach reduction to common frac- tions, and vice versa. 12. Practical problems. / TT 1. Reduction. 2. Addition. 3. Subtraction. 5. Denominate I 4. Multiplication. Numbers. \ 5. Division. 6. Applications to every-day business. 7. Principles of relation between dif- ferent tables. i~ Teach the relation between this, and Multiplication and Division. 2. Apply relation of numbers. 3. Teach principles. 4. Make practical problems. [ness. 5. Apply principles as proof of correct- [ 6. Apply rules to solutions. 1. Teach the terms used. 2. Teach the principles. 3. Teach the formulas. 4. Teach the applications. 5. Teach the solution of problems. 6. Teach the application of rules. 8. Alligation. The same as proportion. i. First. i. Teach quantities. 2. Second. r. zv/, \ 2 - Principles. 3. Number of 9. rrogres- \ ^ ^5, the terms terms 1 4. Application to I 4. Last term. practical problems. 5. Common differ- ence. 6. Ratio and Proportion. 7. Percentage, Interest, etc. 152 TREASURY OF FACTS. I. ARITHMETIC. f 10. Involution. II. Evolution. 12. Mensuration. II. ALGEBRA. III. GEOMETRY. IV. ART, PENMANSHIP. V. DRAWINjG. ( I. The principles. ' \ 2. Demonstrations. 1. Principles. 2. Demonstra- j r. Square Root, tions. \ 2. Cube Root. 1. Principles. 2. Terms. 3. figures. [4. Applications. 1. Teach symbols. 2. Teach the idea. 3. Teach the solution of problems. 4. Teach equations. 5. Teach the principles. 6. Teach general applications. {i. Teach the forms of figures. 2. Theorems. 3. Practical applications. 4. Demonstrations of problems. { i . Teach conception of letters. 2. Teach parts of letters. 3. Teach formation of letters. 4. Teach words. [ 5. Teach sentences. 1. Form straight lines. 2. Form curved lines. 3. Make forms from straight lines. 4. Make forms from curved lines. 5. Imitation of objects. 6. Invent forms. 7. Copy pictures of objects. 8. Draw pictures from memory. 9. Draw real objects from memory. SECTION XXIV. SCIENCE OF TEACHING, OR SCHOOL MANAGEMENT. CHAPTER I. SCHOOL GRADES, STUDIES, FURNITURE AND APPARATUS. 1. To concentrate teaching force. 2. To lessen the expense of teach- ing. 3. To secure the greatest good. I. SCHOOL GRADES. I. Reasons for grading. 4. To facilitate labor. II. SCHOOL STUDIES. I. High 5. To promote good order. 6. To stimulate pupils to excel. 7. To provide higher instruction. 8. To provide schools to educate children at home. {i. Union grade. 2. Separate grades. 3. By central, high-school, and town- ship primaries. {i. Primary. 2. Intermediate. 3. Grammar. 4. High school. Grammar. Rhetoric. i. Higher Arithme- tic. 3. Number of grades. 1. Language. ' 3. Logic. 2. Physical Science. 3. Mathematical Science. 4. Mental Science. 5. Moral Science. 6. Vocal Music.. 1. Language. 1 2. Reading. ( 3 2. Algebra. 3. Geometry. 4. Trigonometry, etc. Grammar. Elements of Rhetoric. Literature. 3. Intermediate. 4. Mathematics. 5. Penmanship. 6. Drawing. f i. Elements of Geography. 2. Language. 3. Elements of Arithmetic. 4. Penmanship. 2. Elements of Higher Arithmetic. 154 II. SCHOOL STUDIES. TREASURY OF FACTS. 1-3. Intermediate 14. III. FURNITURE. IV. APPARATUS. .jl: (7- Drawing. Reading. Spelling. f I. Object teaching. c i. Desks. 2. Platform. 1. Geography. 2. Language. 3. Composition. 4. Arithmetic. 4. Spelling. " i. Number of desks. 2. Size of desks. 3. Arrangement of desks. 4. Teacher's desk. 5. Ink table or desk. 6. Kind of desks. 1. Position. 2. Size. 3. Height. 1. Size. 2. Position. 3. Use. 3. Blackboard. 4. Clock. 5. Call bell. 6. Umbrella-stand. 7. Hat-rack. 8. Settees for -visitors. 9. Chairs. . 10. Brooms and Brushes. 1. Elementary chart. 2. Writing and drawing charts. 3. Numerical frames. 4. Square and Cubical blocks. 5. Globes. 6. Outline maps and charts. 7. Philosophical apparatus. 8. Cabinets. 9. Libraries. 10. Dictionary. n. Bible. 12. Receptacle for these things. CHAPTER II. ORGANIZATION OF SCHOOL. 1. See the citizens with respect to school. 2. See your predecessor. 3. Have a first day's programme. 4. Temporary seating. I. TEMPORARY. \ 5. Fix opening and closing time. 6. Fix recess hours. 7. Fix arrangement for privileges. 8. Regulate whispering. 9. Make regulations for exercise. SCIENCE OF TEACHING. 155 II. PERMANENT. 1 . Fix the branches to be taught. 2. Fix the branches to be studied by individuals. 3. Arrange for the use of text books. 4. Arrange for oral teaching. 5. Arrange for classification. 6. Arrange a time for study. 7. Arrange a time for recitation. 8. Arrange a good programme. 9. See what pupils to be admitted. 10. Fix the limits of the school. 11. Fix the length of the day. 12. Fix the length of the recess. 13. Fix the time for closing. 14. Arrange for calling and dismissing classes. 15. Arrange for granting special privileges. 1 6. Arrange for giving special aid to pupils. 17. Arrange for general business. 1 8. Arrange for exercise of discipline. 2. Incentives to study. I. STUDY. CHAPTER III. EMPLOYMENT OF SCHOOL. 1. To gain knowledge. 2. For mental discipline. 'i. Object of study. { 3. To stimulate pupils to aspirations for the true and noble. 4. To create efficiency in pupils, f i. Prizes. 2. Merit marks. 3. Emulation. 4. Fear of punishment. 5. Shame. 6. Ridicule. 7. Approval of teacher. 8. Approval of parents. 9. Approval of society. 10. To gain honorable positions in school and elsewhere. 1 1. Desire for knowledge. 12. The hope of success in life. 1. Should have an object. 2. Should notice facts. 3. Should write down facts. 4. Compare facts. 5. Classify facts. 6. Should make a generalization of facts. 7. Should learn to distinguish universal facts and principles. 8. Should seek for the particular prin- ciple. 3. Manner of study. 5 6 TREASURY OF FACTS. I. STUDY. 3. Manner of study. 4. Character of the student. f i. The Objects. > 9. Should demonstrate the principles. 10. Should begin at the elements. n. Should pursue a logical order. 12. Should study one thing at a time. 13. Should study to understand. 14. Should review constantly. [15. Converse about what you study. f I. They must have a desire to learn. 2. They must have a high ideal. 3. They must rely upon themselves. 4. They must persevere. 5. They must concentrate their mental forces. 6. They must cultivate accuracy. 7. They must have patience. 8. They must continue to the end. 9. They must not be proud. " i. To estimate pupils' progress. 2. For pupils to express their knowl- edge of the subject. 3. To create self-confidence. II. RECITATION. % 4. To fix facts in the mind. 2. Requisites necessary. of 3. Manner of con- ducting the rec- itation. 5. For the teacher to illustrate. 6. For the teacher to add new matter. 7. To receive moral instructions. 8. To acquire fluency of speech. " i. A proper place. 2. Necessary apparatus. 3. Perfect order. 4. Sufficient time. 5. Close attention. 6. Thorough knowledge subject by the teacher. 7. Books for reference. By lecturing, or orally. By the conversational method. By the topical method. By the catechetical method. The questions should be defi- nite. 6. The questions should be adapt- ed to the capacity of the pupils. 7. They should be logical. 8. They should be exhaustive. 9. They should be concise. 10. They should be clear. n. They should not be direct. 12. They should be adapted to the subject. 13. They should be in proper lan- guage. 14. The pupil should take a good position. SCIENCE OF TEACHING. 157 II. RECITATION. 3. Manner of con- ducting the rec- itation. r I. By the Pupil. 4. Prepara- tion for Recitation, III. EXERCISE. 1. Necessity for exercise. 2. Time for exercise. 3. Proper place for exercise. 4. Manner of exercise. 5. The teacher during exercise. [ 6. The teacher to exercise personally. 7. Gymnastics. 15. The pupil should answer only what asked. 1 6. The answer should cover the whole question. 17. The answer should be correct. 1 8. The answer should be logical. 19. The answer should be under- stood. 20. The answer should suit the question. 21. The answer should be concise. 22. The answer should be founded on authority. 23. The answer may be in concert. 24. The answer may be written. 25. Errors should be corrected by, the pupils. 26. Errors should be corrected by the teacher. 1. Must study lesson. 2. Must study the answer. 3. Must study gracefulness of position. 4. Must cultivate a liking for instruction. " i. Must familiarize him- self with lesson. 2. Arrange lesson into parts. 3. Prepare proper ques- tions. 4. Arrange a plan of recitation. 5. Prepare illustrations. 6. Prepare apparatus. 7. Must prepare his per- son to appear respect- ably before class. 2. By Teach- er. CHAPTER IV. THE GOVERNMENT OF SCHOOL. 1. To themselves. 2. To one another. 3. To school property. HP PTIP c 4- To the teacher. >ILS. : 5 To the school officers 6. To the school. 7. To the visitors. 8. To the community. 158 TREASURY OF FACTS. II. OFFENCES OF PUPILS. - i. Against them- selves. 2. Against each other. 3. Against the Property. 4. Against the Teacher. 1. By injuring their prop- erty. 2. By injuring their person. 3. By neglecting to learn. 4. By bad manners. 5. By bad habits. 6. By immorality. 1. Theft. 2. Destroying property. 3. Injuring persons. 4. Accusing falsely. 5. Enticing to wrong. 6. Slandering. 1. Destroying by accident. 2. Destroying wilfully, [erty. 3. Aiding in destroying prop- 1. Disobedience. 2. Disrespect. 3. Conspiracy. 4. Destroying property. 5. Against School. the Ill. RETRIBUTION. < Slandering. 1. Evil speaking. 2. General disobedience. 3. Neglect to study. 4. Irregular attendance. ^ 5. General wrongdoing. )i. Disturbing the peace. 2. Trespassing. 3- Injuring property. 4. Rude and disrespectful treat- ment of people. (I. Profanity. 2. Immoral conduct. 3. Vulgarity. 4. Disrespect for religion. 1. Approval of teacher. 2. Approval of parents. 1. Rewards. \ 3 " Approval of society. 1 4. Success in life. 5. Gifts from teachers. [ 6. Honorable position. 1. Private reproof. 2. Repairing damage. 3. Performance of duties, 4. Forfeiture of privileges. 5. Acknowledgment of offence. 2. Punishments. \ 6 " Personal chastisement. 7. Suspension. 8. Expulsion. 9. Scolding. 10. Sarcasm. 11. Personal indignities. 12. Torture. SCIENCE OF TEACHING. 159 IV. LEGISLATION IN GENERAL. Means of disorder. 1 f i. Unsuitable accommodations. ' 2 - Unqualified teachers. 2. Correcting dis- order. B ad man- ' To man y rules> * n ^ 2. Pupils not punished. agement. } ?> ^ rk not spected ' r . By punishing offenders. 2. By pardoning offenders. By teaching what is right. General Ad- ministration. 4. By enforcing claims ofright. 5. By inspiring pupils to do right. 1. To detect offenders. 2. To choose kind of punishment. 3. To inflict punishment. CHAPTER V. SCHOOL AUTHORITIES. I. THE SCHOOL OFFICERS. II. THE PEOPLE IN GENERAL. III. THE TEACHER. 1. The family. 2. The church. 3. The community. [ 4. The State. 1. Must have a pure motive. f i. Physically. 2. Must be well qualified. \ 2 " M^rally 1 ^' I 4. Professionally. 3. Must have a proper idea of work. 4. Must have a knowledge of the human mind. 5. Must be proficient in educational means. 6. Must be thorough in the science of teaching. 7. Must be skilled in government. 8. Must be thorough in discipline. 9. Must understand wants of pupils. 10. Must understand his relation to the Profession. II. Must appreciate his responsibilities. the \2 ( 3. Moral. "i. Should be a thorough scholar. 2. Should be a dignified gen- tleman or lady. 3. Should make professional improvement. 4. Should aid his fellow- teachers. 1. For the bodily health. of pupils. 2. For their intel 1 e c t u a 1 growth. 3. For their moral training. 4. For their habits. INDEX. ACCENT i Analysis of words 2 Adjectives 5 Adverbs 6 Analysis of sentences 7 Arrangement 10 Affirmation 16 Average and exclusion 17 Analysis 17 Adams' administration 26 Arthur's inauguration 29 Authors 30, 31 Animals 43 Atmosphere 52 Animals 55 Annuloida 66 Annulosa 66, 67 Aves 68,69 Arrangement of muscles 72 Appendages of the skin 72 Air 81 Acoustic tubes 84 Atmospheric electricity 85 Artificial magnets 85 Animal susceptibility 89 Arsenic 94 Addition 108, 126 Applications 118 Alligation 120 Arithmetical progression 120 Applications of cube root 122 Annuities .... 122 Axioms 125, 126, 132 Astronomy 142 Arithmetic, teaching 150, 151, 152 Art 152 Algebra 152 Apparatus 154 BUCHANAN'S ADMINISTRATION 28 Battles of 1775 32, 33 Battles of 1676-77 33, 34 Battles of 1778-80 34, 35 Battles of 1781 35 Botany 53, 59 Bones 71 Bathing necessary 72 Brain 75 Bills in Banking 119 CLASSIFICATION OF WORDS 2, 4 Conjunctions 6 Classes of sentences 7, 8 Collecting material 10 Composition 12 Conceptions 14 Cause and effect 14 Copula 15 Cardinal propositions 15 Complex propositions 15 Compound propositions 15 Comparative judgment 15 Conditional judgment 16 Classification of syllogisms 16 Conversion of syllogisms 16 Comparative syllogisms 16 Compound judgment 16 INDEX. Connecticut 21 Carolina, North 24 Carolina, South ' 24, 25 Climate 42, 47, 52 Cities 48 Continents 49 Coast 47 Concussions 57 Cryptogamous 62 Ccelenterata 66 Circulation 73 Cranial nerves 75 Chromatics 83 Classification of acts of the will 90 Conception of causality 90 Classification of causes 90 Competency of the mind 90 Chemistry 91 Composition 92 Chlorine 94 Copper 94 Constitution 97, 100 County officers 98 Cities and towns 98 Cpnfederation 100 Courts 102 Crimes 102 Constitutional amendments 103 Civil rights 103 Contracts 103, 104 Circulates 1 1 1 Common divisor in Common multiple 112 Cancellation 112 Cases of percentage 1 18 Commission and brokerage 119 Circle 123, 135, 138 Circumference of circles 135 Cylinder 139 Cone 139 Cylindrical rings 139 Comets 146 Character 156 DEVELOPMENT OF STATES 25 Derivation of words 2, 4 PAGE Diacritical marks 2 Diction 10 Difference and resemblance 14 Distribution of terms 15 Disjunctive syllogisms 16 Discoveries 18 Delaware 23 Devonian series 57 Diseases of the muscles 74 Diseases of the skin 74 Diseases of the lungs 73 Diseases of the blood 74 Diseases of the digestion 75 Digestion 75 Diffusion of heat 82 Discrimination of acts of the will. ... 90 Decay of plants 93 Democratic government 96 Divisions of government 97 Divisions of the federal government. 100 Distribution of property without wills 105 Definitions 107 Division 109, no, 113, 128 Decimal fractions no, in Denominate fractions 116 Direct exchange 120 Division of algebra 127 Drawing 152 Duties of pupils 157 ELEMENTARY SOUNDS -. i Expression 3 Extra logical 16 Elimination 17 Explorations 18,19 Early settlements 19 Events of 1812-14 35, 36 Events in 1861 37 Events in 1862-63 37, 38 Events in 1864-65 38, 39 Extent 46 Earthquakes 5. 57 Electrical phenomena 53 Ethnography 53 54 Exogenous 59, 60, 6 1 Endogenous 61, 62 INDEX. 163 Eyes, the 70 Elastic fluids 81 Effects of heat 82 Electrical machines 85 Electro-magnetism 86 Exercise of capacity for willing 90 Effect of heat on wood 93 Electors 97 Elections 97 Enacting laws 97 Education 98, 99 Executive 100 Equasion of payments 120 Evolution 121 Equasions of two or more unknown quantities 120 Equasions of quadratics 131 Ellipse 138 Earth 143 Exercise 157 FIGURES 2, g Fallacies 16 Filmore's administration 27 French and Indian War 31, 32 Flowers 65 Force 77 Fundamental facts 86 Fixed stars 87 Final rule for disputed facts 88 First law of chemical attraction 95 Federal government 101 Fraudulent transfer 104 Factoring ill, 127 Fractions 112, 128 Formulas 127 Frustrum 139 Furniture 154 GOVERNMENT 48 Georgia 25 Grant's administration 28, 29 Garfield's administration 29 Geography 41 Government 46 Geology 49, 56 General structure of earth 49 Glands of the skin 72 Gravity 78, 79 Grounds of certainty 90 Growth of plants 92 Granite 93 Gold 95 Governmental science 96 Gain or loss 1 18 Geometrical progression 121, 131 Geometry 132, 1 52 HISTORY 18, 48, 149, 150 Harrison's administration 27 Hayes' administration 29 Health and disease 76 Hydrostatics 80 Hydraulics 81 Heavenly bodies 142 INTERJECTIONS 6 Immediate inference 15 Ideas in method 17 Induction and analogy 17 Internal improvement 47 Islands 49 54 Inflorescence 64, 65 Integument or skin 72 Inclined plane 80 Iron 94 Inorganic food 74 Interest 105 International law 106 Insurance 119 Interest, simple 119 Instructions in language .... 147, 148, 149 JUDGMENT 15 Jackson's administration 27 John Q. Adams' administration 26, 27 Johnson's administration 28 Jurassic period 58 Judicial 99 Jupiter 144, 145 KING WILLIAM'S WAR 31 164 INDEX. King George's War 31 Kinds of food 74, 75 Kinds of fractions 112 LAWS OF MOTION 77 Language I Letters I Logic 14 Lincoln's administration 28 Land 42 Local geography 46 Lakes. 47, S l Leaves 62, 63 Levers of the first class '79 Levers of the second class 79 Levers of the third class 79 Laws of attraction 85 Law of intensity 83 Law of refraction 83 Law of attraction 80 Law of polarity 86 Lead 95 Landlord and tenant 115 Length 115 Longitude and time 1 16 Lines and angles 132 Legislation in general 159 MODALITY OF JUDGMENT 15 Matter of method 17 Methods of investigation 17 Methods of proof 17 Massachusetts Bay colony 20, 21 Maryland 23, 24 Madison's administration 26 Miscellaneous events 29 Mathematical geography 41, 42 Mountains 49, 54 Moisture of the atmosphere 52 Molusca 67 Mammalia 69, 70 Modifications of the breath 73 Muscles 72 Matter 77 Machines 79, 80 Mu-irnl sounds 84 Mineralogy 55 Musical instruments 84 Magnetism 85 Meteorology 5 -> 87 Mental philosophy 88 Mind, an agent 90 Mind can attain its own end 90 Marble 93 Mercury 95 Monarchical government 96 Militia 99 Miscellaneous provisions of Constitu- tion 103 Municipal law 103 Multiplication 108, 116, 126, 128, 130 M iscellaneous weights 114, 116 Mensuration 122 Multiple 112, 128 Measurement of angles 133 Moon 144 Mercury 144 Mars 144 Minor planets 145 Meteors 146 Methods of instruction 147 NOUNS 4, 5 New Hampshire 22 New York 22 New Jersey 23 North Carolina 24 Nations 45 Natural advantages 47 Nervous system 75 Natural philosophy * 77 Nature of heat 81 Nature of light 82 Natural inability 91 Numbers 107 Notation and numeration 107 Neptune 145 Nebulae 146 ORTHOGRAPHY 1,4 Orthoepy 2, 3 Orators 1 INDEX. ,65 Occupations 46, 47, 48 Outline 4 6 Oceans 51 Oceanic movements 51 Optical phenomena 53 Organs of respiration 73 Organs of voice 73 Organs of circulation 73 Organic food 74 Optics 82 Optical instruments 84 Offences of pupils 158 PRONOUNS 5 Prepositions 6 Parsing 8 Prosody 8 Punctuation - 8 Points II Prose 12 Poetry 12, 13 Probable judgment 15 Pure categorical 16 Probable syllogisms 16 Plymouth colony 20, 2 1 Pennsylvania : 23 Folk's administration 27 Prince's administration 28 Progress 30 Pontiac's War 32 Plants 43i S5> 62 Political geography 43 Physical needs of man 44, 45 Position of state 46 Physical geography 49 Progression 57 Phenogamous plants 59 Protozoa. 66 Physiology 71 Proper food necessary 74 Properties of matter 77 Pulleys 80 Pneumatic machines 81 Pyronomics 81 Propagation of light 83 Properties of the magnet 85 Production of artificial magnets 86 Planets, the 87 Phosphorus 94 Public institutions 99 President, the 102 Principles of law 103 Principal and agent 104 Partnership 104 Principles of fractions 112, 128 Principles of ratio 1 17 Proportion 117, 134 Principles of proportion 117 Percentage 117 Principles of percentage 1 18 Premium and discount 1 18 Partnership 120 Powers and roots 129 Powers 129 Principles of involution 121 Plane figures 132 Polygons 133, 134, 138 Planes and angles 136 Pyramid 137, 138 Principles of trigonometry 140 Practical principles 141 Planets 143 Permanent organization 155 People in general, the 159 QUALITY OF JUDGMENT 15 Queen Anne's War 31 Quantity 125 Quadratics 131 Quadrilaterals 133 RHETORIC 10 Redundant syllogisms 16 Refutation 17 Rhode Island 21, 22 Races of men 43, 44 Religion 46 Rivers 50, 54 Rainfall 55 Rocks 56 Root 65 Reptilia 67, 68 166 INDEX. Respiration 73 Reflection and reflecting surfaces. ... 83 Refraction of light 83 Reflection of sound 4 Reason 9 Rational susceptibility tf 9 Rights of persons 96 Rights of things 96 Real estate 105 Rules of peace 106 Rules of war 106 Rights and duties of belligerents .... 106 Rights and duties of neutrals 106 Roman notation 107, 108 Reduction of fractions 112, 113 Reduction 116 Ratio 117 Roots 129 Radicals 130 Recitation 156, 157 Retribution 158 SYLLABLES i Spelling 2 Synthesis 7 Syntax 7 Selection of subject 10 Style 10 Sentences 10 Substances and properties 14 Syllogisms 16 South Carolina 24, 25 States of society 45 Surface 47 Springs 50, 54 Stratified 56 Silurian series 57 Stem of plant 64 Seed 65 Skeleton 71 Sources of food 74 Sympathetic system 76 Screw 80 Source of heat 81 Source of light 83 Shadows 83 Solar system 86, 87 Sense 88 Susceptibility 89 Spiritual 89 Substance of plants 92, 93 Sandstone <vj Slate 93 Soils 94 Sulphur 94 Silver 95 State government 97 State officers 97 , 98 Sales of property 104 Services 105 Shipping 105 Subtraction 108, 126 Surface 115 Simple interest 119 Settlement of accounts 120 Sphere 124, 139 Signs 125 Squares on lines 134 Similar triangles 135 Solids 136 Spherical geometry 137 Spherical trigonometry 140, 141 Sun 143, 144 Saturn 145 School grades 1 53 School studies 1 53 Science of teaching 1 53 Study 155, 156 School authorities 159 TERMS 14 Terms of a proposition 15 Tyler's administration 27 Taylor's administration 27 Temperature 52 Trassic series 57 Tin 95 Township officers 98 Terms of fractions .-. . . 112 Time 115, Terms, 117, 125, 128, 129, 131, 140, 142 True discount 119 INDEX. i6 7 Taxes 119 Triangle 138 Trapezoid 138 Trapezium 138 Theorems 140 Trigonometry 140 Temporary 1 54 The teacher 1 59 USES OF CAPITALS 12 Unstratified rocks 56 Understanding 88 United States government 100 Uranus 145 VERBS 5, 6 Variety 1 1 Versification 8 Virginia 19, 20 Van Buren's administration 27 Valleys 50 Volcanoes 50, 57 Voice 73 Vision 83, 84 Value 113, 114 Volume and capacity 115 Volumes 123, 124 Venus 144 WASHINGTON'S ADMINISTRATION. . . 25 Wars of United States 31 War of revolution 32, 33, 34, 35 War of 1812 35 War with Mexico .* 36, 37 War of Rebellion 37, 38, 39, 40 Water 42, 91 Winds 52 Woody plants 65 Wheel and axle 79, 80 Wedge 80 Wheel work 80 Will, the 89 Wills 105 Weight 114 ZOOLOGY. Zinc... 53.66 .. 95 UNIVERSITY OF CALIFORNIA LIBRARY Los Angeles This book is DUE on the last date stamped below. SUBJECT 1 FINE IF NOT RETURNED TO EDUCATION LIBRARY Form L9-30ro-ll,'58(.8268s4)444 UCLA-ED/PSYCH Library LB 1557 K58 L 005 61 1 428 3 A 000993177 5