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Les diagrammes suivants illustrent la mdthode. 1 2 3 12 3 4 5 6 > V IMII Honorary Member of the Society for the Generalize (Patented in Canada^ in the United States o\ ■ ^ »ji j n r < r* ^ ■ * — I This is a Case 5 feet long, 3 feet wide and 5 inches deep, with a hinged exhibiting, and affording free access to some 200 well-finished Hardwood Mj form, each of which being neatly attached to the board, by means of a wire-] Student or Professor. The use of the Tableau and accompanying Treatise, reduces the whole ccience and art of Mensuration from the study of a year to that of a day or two, and so sim- plifies the study and teachiiig of Solid Geometry, the No- menclature of Geometrical and other forms, the develop- ment of surfaces, geometri- cal projection and perspect- ive, plane and curved areas and Spherical Geometry, and Trigonometry, and men- suration of surfaces and solids, that the several branches hereinbefore men- tioned may now be taught even in the most elementary schools, and in convents, where such study could not even have been dreamed of heretofore. Ejaeh Tableau is accom- panied by a Treatise explan- atory of the mode of meas- urement by the " Prismoidal Formula, " and an explana- tion of the solid, its nature, shape, opposite . bases, and middle section. Agents wanted for the sale ' the Tahleati. in Canada, e United States, &c. ponr tronver »e volume REQLB : -A la somme desBurfaoeBdesextre- mit^B paralldles, ajou- terquatre foia la sur- face bu ceatro.et mul- tiplier le tout par a sixiSme partie de la hauteur ou longueur dn Bolide. * en France. J.A1R< Patented ii Honorar mW^ ^ 0# ^as 9 % # ^ #< For the use of Architects, Engineers, Surveyors, Students and Apprentice Mathematics, Universities, Colleges, Seminaries, Convents and other Educati Measurers, Gaugers, Ship-builders, Contractors, Artizans and others in Canad 76V HE Generalization of Education in France, etc., etc. United States of America, and in Europe.) with a hinged Glass Cover, under Lock and Key, so as to exclude dust while Hardwood Models of every conceivable Elementary, Geometrical or other ;ans of a wire-peg or nail, can be removed and replaced at pleasure, by the mis rla in Krance. To find the Boltdooatenti of any body. RULE :— To the sura of the parallelcnilareas, i| add lour times the inid-jl die area, and multiply 1 1 the whole by one sixth part of the height or length of the body. ^%9» ^\999^ ^ ^« # % A % A ^ II and Apprentices, Customs and Excise Officers, Professors of Geometry and I other Educational Establishments, Schools of Art and Design, Mechanics, thers in Canada, and elsewhere. Approved by the Council of Pub- lie Instruction of the Province of Quebec, and already adopted and ordered by many Educational and other Establiireciative perception of its advan- tages and beauties, as evidenced in the ever-varyingl combinations so cunningly devised in their designs for needle tracery, bices and embroidery. He showed its relationship to chemistry in crystallization audi polarization ; to botany ami zoology in the laws ofj mor})hology j to theology, and so on. In tr(;ating of' tbe circle and other conic sections, he drew quite a I poetical comparison between the engineer who traces out his curves among the woods and waters of the earth, and the astronomer who sweei)s out his mighty circuits auiidst the starry forests of the heavens. The| parabola was fully illustrated in its application to the throwing of proj<^ctiles of war, also as evidenced inj jets of water, the speaking trumi)et, the mirror and the reflector, which, in light-houses, gathers the rays I of light, as it were, into a bundle, and sends them ofij together on their errand of hunninity. In treating off the ellipse, this almost magic curve which is traced out in the heavens by every planet that revolves about the sun, by every satellite about its primary, he alluded to th.at most beautiful of all ovals — the face of lovely woman. lie showed how the re-a])- pearance of a comet may now be predicted even to the very day it heaves in sight, and though it has been absent for a century, and how in former ages, when I these phenomena were uni)redicted, they burst uponj the world in unexpected monu'iits, carrying terror! everywhere and giving rise to tlie utmost anxiety andj consternation, as if the end of all things were atliand. In a word, Mr. Uaillarge went over the whole held of geometry and mensuration, both plane and sperical ;| a diflicult feat within the limits of a single lecture ;| and kei)t the audience, so to say, entranced with in-j terest for two Avhole hours, which the president. Dr. I Anderson, remarked were to him as but one ; and noj doubt it must have been so to others, since INIr. Wilkie,! in seconding the vote of thanks proposed by Capt.j Ashe, alluded to the pleasure with which he had liste- ned to the lecture as if, he said, it were like poetry tc him, instead of the uni)romising matter foreshadowet in the title. Mr. Baillarge next explained in detail his stereometrieal tableau, which we hope to see sooi iutroduced into all the schools of this Dominion. Ht showed how conducive it will be in shortening tin time heretofore devoted to the study of solids an( even to that of plane and convex superficies, spherical trigonometry, grometri«'i!l j'rojci wing, the d(v«h>i>nil<', and, as lias luvn ccrtitud l>v so < in t«'stinionials over t^lu ir own si^na- lic lu'l]) of tin- new lornmla and tableau, in as many niinut a their Konundatuic or names, ami un ship with their varied shapes and ti<;ures. i)w, to the arehit( ft and eiiature of the proposed system. M. Joly Pre- sident of the (iue])ec Hraucii of the Montreal School of Arts and Design, in a letter on the subject to Mr. Weaver, the President of the Hoard, and after hsiving himself witnessed its advantages on more than one o('casion,says, in his expres-^ive style, "theditference is enormous." Professor Ttmssaint, of the Normal School, Dufresne, of the Montmagny Academy, lioivin, of St. llyacinthe, and manv others, an- of the same opinion; among them MM. 1J.\^. M. Iloiuhette, O'Farrell, Flet- cher, St. Aubin, Steckel, Juneau, Venner, Gallagher, Lafrance, and the late Hrother Anthony, &c., &c. Neither will it be forgotten that the professors of the Laval University, after reading the enunciation of Mr. B.'s formula, as given in his treatise of 18(i(i, express*Ml themselves thus : " Un ute involontaire s'emparo " d'abord dt^ I'esprit, h)rsqii'on lit le No. 1521 ; mais " un examen attentif des paragiaphes suivants, ilissipe " bientot ce doute et Ton reste et