An epitome of the whole art of war In two parts. The first of military discipline, containing the whole exercise of the pike and musquet, &c. with plain directions for the various postures. Also the drawing up of battalions, and way of forming them; with the art of doubling, wheeling, forming and drawing up an army into any figure. The way of conducting armies in hilly, woody or plain countries: of encampings, besiegings, giving of battle, &c. The second of fortification and gunnery, which shews the principles and practices of fortification, as now used, as well by the English, as several other European nations, (especially by Their Majesties army) at the late siege of Athlone, Galoway, Limerick, &c. ... Of casements, cittadels, crownworks, ravelins, &c. Of gunnery, ... morters, demy-cannon, &c. with the manner of batteries, &c. All illustrated and further explained by 18 copper-plates, curiously designed and engraven. Moxon, Joseph, 1627-1691. 1692 Approx. 149 KB of XML-encoded text transcribed from 72 1-bit group-IV TIFF page images. Text Creation Partnership, Ann Arbor, MI ; Oxford (UK) : 2005-12 (EEBO-TCP Phase 1). A51540 Wing M3002 ESTC R217907 99829550 99829550 33990 This keyboarded and encoded edition of the work described above is co-owned by the institutions providing financial support to the Early English Books Online Text Creation Partnership. This Phase I text is available for reuse, according to the terms of Creative Commons 0 1.0 Universal . The text can be copied, modified, distributed and performed, even for commercial purposes, all without asking permission. Early English books online. (EEBO-TCP ; phase 1, no. A51540) Transcribed from: (Early English Books Online ; image set 33990) Images scanned from microfilm: (Early English books, 1641-1700 ; 1920:15) An epitome of the whole art of war In two parts. The first of military discipline, containing the whole exercise of the pike and musquet, &c. with plain directions for the various postures. Also the drawing up of battalions, and way of forming them; with the art of doubling, wheeling, forming and drawing up an army into any figure. The way of conducting armies in hilly, woody or plain countries: of encampings, besiegings, giving of battle, &c. The second of fortification and gunnery, which shews the principles and practices of fortification, as now used, as well by the English, as several other European nations, (especially by Their Majesties army) at the late siege of Athlone, Galoway, Limerick, &c. ... Of casements, cittadels, crownworks, ravelins, &c. Of gunnery, ... morters, demy-cannon, &c. with the manner of batteries, &c. All illustrated and further explained by 18 copper-plates, curiously designed and engraven. Moxon, Joseph, 1627-1691. J. S., Capt. Military discipline. J. S., Capt. Fortification and military discipline. [16], 66, 51-70 p., [18] leaves of plates : port., tables printed for J. Moxon, at the sign of Atlas in Warwick-Lane, London : 1692. By Joseph Moxon, who has signed the dedication: J.M. "The epitome shares some of its plates .. and some of its text with" Captain John Stevens' Military discipline, 1685, and his Fortification and military discipline, 1688. Cf. MS. note following p. 70 of British Library copy C 175.ff.23. Some of the plates are numbered. Text is continuous despite pagination. Reproduction of the original in the British Library. Created by converting TCP files to TEI P5 using tcp2tei.xsl, TEI @ Oxford. Re-processed by University of Nebraska-Lincoln and Northwestern, with changes to facilitate morpho-syntactic tagging. Gap elements of known extent have been transformed into placeholder characters or elements to simplify the filling in of gaps by user contributors. 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Copies of the texts have been issued variously as SGML (TCP schema; ASCII text with mnemonic sdata character entities); displayable XML (TCP schema; characters represented either as UTF-8 Unicode or text strings within braces); or lossless XML (TEI P5, characters represented either as UTF-8 Unicode or TEI g elements). Keying and markup guidelines are available at the Text Creation Partnership web site . eng Military art and science -- Early works to 1800. Military art and science -- England -- Early works to 1800. Fortification -- Early works to 1800. 2005-02 TCP Assigned for keying and markup 2005-02 Aptara Keyed and coded from ProQuest page images 2005-04 Rachel Losh Sampled and proofread 2005-04 Rachel Losh Text and markup reviewed and edited 2005-10 pfs Batch review (QC) and XML conversion GULIELMUS D : Gratiae , Angliae , Scotioa ▪ Franciae , et Hiberniae REX Fidei Defensor etc , F. H. Van. Hove . Sculp : AN EPITOME Of the Whole Art of War. In TWO PARTS . The First of Military Discipline , Containing the whole Exercise of the Pike and Musquet , &c. with plain Directions for the various Postures . Also the Drawing up of Battalions , and way of Forming them ; with the Art of Doubling , Wheeling , Forming and Drawing up an Army into any Figure . The way of Conducting Armies in Hilly , Woody or Plain Countries : Of Encampings , Besiegings , giving of Battle , &c. The Second of Fortification and Gunnery , which shews the Principles and Practice of Fortification , as now used , as well by the English , as several other European Nations , ( Especially by Their Majesties Army ) at the late Sieges of Athlene , Galoway , Limerick , &c. The Measures and Dimensions of Rampires , Parapets , Moats , &c. Of Casements , Cittadels , Crownworks , Ravelins , &c. Of Gunnery , the qualifications of a Gunner . Of Ordnance , Morters , Demy-Cannon , &c. with the manner of Batteries , &c. All Illustrated and further Explained by 18 Copper-Plates , curiously designed and Engraven . LONDON , Printed for J. Moxon , at the Sign of Atlas in Warwick-Lane , 1692. To the Honourable CHRISTOPHER SEATON , Brother to the Right Honourable George Earl of Winton , &c. And my Worthy Friend . Honoured Sir ! I Here present you this Epitome of the whole Art of Warr , and recommend it to your serious Inspection and Approbation ; Depending more upon the Worth of the Subject , than my own Deserts : 'T was chiefly design'd for the Vse and Benefit of Young Gentlemen and Others that delight therein : And though 't is but small in Bulk , yet great in Matter ; and at this time of as good use , when the greatest part of Europe are engag'd in Warr. What can be more Acceptable in a time of such Eminent Action , than Plain and Practical Instructions in the Military Arts , here comprehended under these two Heads , viz. Military Discipline , and Fortification . Sir , I need not endeavour to inform you of its most excellent use , under the Fortitude of whose favourable Aspect , this small Piece craves a shelter from the Malevolent Rays of Detractions . These are the Arts Mathematical ( or Branches thereof , ) and in the Mathematicks the two main Pillars are well known to be Arithmetick and Geometry ; and these also have the Preheminence above all other Arts , because they leave no Hole to creep out at , or any Querk for Descent , but an Everlasting Addition of new Inventions to what has been happily demonstrated before . This last Age doth enjoy the Benefit of more admirable Inventions , than many former Ages ; and we see daily that new ones are still added , both in the Art of Warr , as well as divers other Arts and Sciences . Have we not in our Age seen the spots in the Sun first discovered by the famous Galareus , with his most excellent Telescope Observations ; also his Conversion upon his own Axis , the Lateral Guardians or Satillites of Saturn and Jupiter , the various Phases of Mars , the Horns of Venus and Mercury , the Mountains and Seas of the Moon , the Generation of Comets , cum multis aliis ? But I fear I have run out too far for this small Treatise . Sir ! 't is the Censure of You alone which I value , the Popular voice , like other Agents , never acting beyond their proper sphere of activity . Thus craving the Continuance of Your Favour and Respect , I shall ever remain , Honourable Sir ! Your Devoted and very Humble Servant , J. M. A CATALOGUE OF Globes , Celestial and Terrestrial Spheres , Maps , Sea-Plates , Mathematical Instruments and Books , Made and Sold by J. Moxon , at the Sign of Atlas in Warwick-lane . GLOBES 26 Inches the Diameter . The Price 20 l. the pair . Globes near 15 Inches Diameter . The Price 4 l. Globes 8 Inches Diamer . The Price 2 l. Globes 6 Inches Diameter . The Price 1 l. 10 s. The English Globe , invented by the Right Hononrable the Earl of Castlemain , 12 Inches Diameter . The Price ordinary made up 40 s. and with the Projection at Bottom 50 s. Best made up 5 l. Concave Hemispheres of the Starry Orb ; which serves for a Case to a Terrestrial Globe 3 Inches Diameter , made portable for the Pocket . Price 15 s. Spheres , according to the Copernican Hypothesis , both General and Particular , 20 Inches Diameter . Price of the General 5 l. of the Particular 6 l. of both together 10 l. Spheres , according to the Ptolomaick System 14 Inches Diameter . Price 3 l. Spheres , according to the Ptolomaick System , 8 Inches Diameter . Price 1 l. 10 s. Gunter's Quadrant , 12 Inches Radius , printed on Paper , and pasted on a Board , with a Nocturnal on the back-side . Price 5 s. Gunter's Quadrant , 4 Inches Radius , printed on Paper , and pasted on Brass , with a Nocturnal on the back-side , and a Wooden Case covered with Leather fit for it . A new Invention contrived for the Pocket . Price 6 s. A large Map of the World , 10 Foot long , and 7 Foot deep , pasted on Cloth and coloured . Price 2 l. A Map of all the World , 4 Foot long , and 3 Foot deep , pasted on Cloth and coloured . Price 10 s. in Sheets 2 s. 6 d. A Map of the English Empire in America , describing all Places inhabited here by the English Nation , as well on the Islands as on the Continent . Price 15 s. Six Scriptural Maps , 1. Of all the Earth , and how after the Flood it was divided among the Sons of Noah . 2. Of Paradise or the Garden of Eden , with the Countries circumjacent inhabited by the Patriarchs . 3. The 40 Years travel of the Children of Israel through the Wilderness . 4. Of Canaan , or the Holy Land , and how it was divided among the twelve Tribes of Israel , and Travelled through by our Saviour and his Apostles . 5. The Travels of 〈◊〉 , and others of the Apostles , in their propagating the Gospel . 6. Jerusalem , as it stood in our Saviour's time ; with a Book of Explanations to these Maps , Entituled , Sacred Geography . Price 6 s. Useful to be Bound up with Bibles . A Sea-Plate , or Map of all the World , according to Mercator , in two large Royal Sheets of Paper ; set forth by Mr. Edward Wright , and newly corrected by Joseph Moxon , &c. Price 2 s. Sea-Plats for Sailing to all Parts of the World. Price 6 d. the Sheet . The famous City of Batavia in the East-Indies , built and inhabited by the Dutch , curiously Engraved , and Printed on four large Sheets of Royal-Paper . Price 2 s. 6 d. A small Map of the World , with Descriptions , on one Sheet . Price 6 d. A New Map of the Kingdom of Ireland , in one Royal Sheet of Paper . Price 1 s. by J. Moxon . A New Map of England , shewing the Roads from Edinburgh to London , in two Sheets . Price 1 s. by J. Moxon . A New Map of Scotland , in one Royal Sheet . Price 1 s. by J. Moxon . North and South Hemespheres 16 Inches Diameter , projected on the Poles of the World ; the South , according to Mr Haley's Observation , with a Horizon . Price , in Sheets , 2 s. 6 d. Made up 6 s. BOOKS . A Tutor to Astronomy and Geography , or the Use of both the Globes , Celestial and Terrestial ; by Joseph Moxon , A Member of the Royal Society , and Hydrographer to the Kings most Excellent Majesty . Price 5 s. The Use of the Copernican Spheres , teaching to Solve the Phoenomena by them , as easily as by the Ptolomaick Spheres ; by Joseph Moxon , &c. Price 4 s. Wright's Correction of Errors in the Art of Navigation . Price 8 s. New and rare Inventions of Water-works , teaching how to raise Water higher than the Spring . By which Invention , the Perpetual Motion is proposed , many hard Labours performed , and varieties of Motion and Sounds produced . By Isaac de Caus , Engineer to King Charles the First . Price 8 s. Practical perspective , or Perspective made easie . Teaching by the Opticks how to delineate all Bodies , Buildings , and Landskips , &c. By the Catoptricks , how to delineate confused Appearances , so as when seen in a Mirrour or Polish'd Body of any intended Shape , the Reflection shall shew a Design . By the Dioptricks , how to draw part of many Figures into one , when seen through a Glass or Crystal cut into many Faces . By Joseph Moxon , &c. Price 7 s. An exact Survay of the Microcosm , being an Anatomy of the Bodies of Man and Woman , wherein the Skin , Veins , Nerves , Muscles , Bones , Sinews , and Ligaments are acurately delineated . Engraven on large Copper-plates , Printed and curiously pasted together , so as at first sight you may behold all the parts of Man and Woman ; and by turning up of several Dissections of the Papers , take a view of all their inwards ; with Alphabetical References to the Names of every Member and part of the Body . Set forth in Latin by Remelinus and Michael Sapher of Tyrol ; and Englished by John Ireton , Chyrurgion ; and lastly , perused and corrected by several Anatomists . Price 14 s. Vignola , or the Compleat Architect ; shewing a plain and easie way the Rules of the Five Orders in Architecture , viz. Tuscan , Dorick , Ionick , Corinthian , and Composite ; whereby any that can but read and understand English , may readily learn the Proportions that all members in a Building have to one another : Set forth by Mr. James Barrozzio of Vignola , and Translated into English by Joseph Moxon , &c. Price 3 s. 6 d. Christiologio , Or a brief but true Account of the certain Year , Month , Day , and Minute of the Birth of Jesus Christ. By John Butler , B. D. and Chaplain to his Grace James Duke of Ormond , &c. and Rector of Lichborough in the Diocess of Peterborough . Price 3 s. 6 d. A Tutor to Astrology , or Astrology made easie : being a plain Introduction to the whole Art of Astrology ; whereby the meanest Apprehension may learn to Erect a Figure , and by the same to give a determined Judgment upon any question or Nativity whatsoever . Also New Tables of Houses , calculated for the Latitude of 51 degr . 32 minutes ; Also Tables of Right and Oblique Ascentions to 6 degr . of Latitude . Whereunto is added an Ephemeris for three Years , with all other necessary Tables that belong to the Art of Astrology . Also to Erect a Figure the Rational way , by the Tables of Triangles , more methodically than hath yet been published , digested into a small Pocket Volume , for the conveniency of those that Erect Figures abroad . By W. Eland . Price ● s. Mathematicks made easie , or a Mathematical Dictionary , Explaining the Terms of Art , and Difficult Phrases used in Arithmetick , Geometry , Astronomy , Astrology , and other Mathematical Sciences . By Joseph Moxon , &c. The 2d . Edit . Corrected and much Enlarged . Price Bound 3 s. The Use of a Mathematical Instrument called a Quadrant ; shewing very plainly and easily to know the exact Height and Distance of any Steeple , Tree , or House , &c. Also to know the Hour of the Day by it ; the Height of the Sun , Moon , or Stars ; and to know the time of the Sun-Rising , and the Length of every Day in the Year ; the place of the Sun in the Ecliptick , the Azimuth , Right Ascension , and Declination of the Sun ; with many other necessary and delightful Conclusions : performed very readily . Also the Use of the Nocturnal , whereby you may learn to know the Stars in Heaven and the Hour of the Night by them ; with many other delightful Operations . Price 6 d. A brief Discourse of a passage of the North-Pole to Japan , China , &c. pleaded by three Experiments , and Answers to all Objections that can be urged against a Passage that way . As , 1. By a Navigation into the North-Pole , and two Degrees beyond it . 2. By a Navigation from Japan towards the North-Pole . 3. By an Experiment made by the Czar of Muscovy , whereby it appears , that to the Northward of Nova Zembla is a free and open Sea as far as Japan , China , &c. With a Map of all the discovered Land nearest to the Pole. By Joseph Moxon , &c. Price 6 d. Regulae Trium Ordinum Literarum Typographicarum ; Or the Rules of the three Orders of Print-letters , viz. the Roman , Italick , and English , Capitals and small ; shewing how they are compounded of Geometrick Figures , and mostly made by Rule and Compass : Useful for Writing-Masters , Painters , Carvers , Masons , and others that are lovers of Curiosity . By Joseph Moxon , &c. Price 5 s The Use of the Astronomical Playing-Cards , teaching an ordinary Capacity by them to be acquainted with all the Stars in Heaven , to know their Places , Colours , Natures and Bignesses . Also the Poetical Reasons for every Constellation . Very useful , pleasant , and delightful for all lovers of Ingenuity . By Joseph Moxon , &c. Price 6 d. The Astronomical Cards , by Joseph Moxon , &c. Price plain 1 s. Coloured 2 s. best coloured , and the Stars guilt 5 s. Geographical Playing-Cards , wherein is exactly described all the Kingdoms of the Earth , curiously engraved . Price plain 1 s. coloured 2 s best coloured and gilt 5 s. the Pack . The Genteel House-keepers pastime ; or , the Mode of Carving at the Table , represented in a pack of Playing-Cards . By which , together with the Instructions in the Book , any ordinary Capacity may learn how to cut up , or Carve in mode , all the most usual Dishes of Flesh , Fish , Fowl , and Baked Meats : And how to make the several Services of the same at the Table ; with the several Sawces and Garnishes proper to each Dish of Meat . Set forth by several of the best Masters in the Faculty of Carving , and published for publick use . Price 6 d. Carving Cards , By the best Carvers at the Lords Mayors Table . Price 1 s. Compendium Euclidis Curiosi : Or , Geometrical Operations , Shewing with one single opening of the Compasses , and a straight Ruler , all the proportions of Euclid's first five Books are performed . Translated out of Dutch into English , by Joseph Moxon , &c. Price 1 s. An Introduction to the Art of Species ; by Sir Jonas Moor. Price 6 d. Two Tables of Ranges , according to the Degrees of Mounture ; by Henry Bo●d , Senior . Price 6 d. Mechanick Exercises : Or , the Doctrine of Handy-works , in 9 Monthly Exercises . The first Three , viz. Numb . I. Numb . II. Numb . III. teaching the Art of Smithing . The second Three , viz. Numb . IV. Numb . V. Numb . VI. teaching the Art of Joynery . The third Three , viz. Numb . VII . Numb . VIII . Numb . IX . teaching the Art of House-Carpentery . Accommodated with suitable Engraved Figures : by Joseph Moxon , &c. Price of each Monthly Exercise 6 d. Mechanick Dialling ; Teaching any man , though of an ordinary Capacity , and unlearned in the Mathematicks , to draw a true Sun-Dial on any Given Plain , however situated ; only with the help of a streight Rule and a pair of Compasses , and without any Arithmetical Calculation : by Joseph Moxon , &c. Price 1 s. 6 d. At the place aforesaid , you may have also all manner of Maps , Sea-Plats , Drafts , Mathematical Books , Instruments , &c. at the lowest Prizes . There is Invented by the Right Honourable the Earl of Castlemain , a new kind of Globe , call'd ( for distinction sake ) the English Globe ; being a fix'd and immovable one , performing what the Ordinary ones do , and much more , even without their usual Appendancies ; as Wooden Horizons , Brazen Meridians , Vertical Circles , &c. For it Composes it self to the Site and Position of the World without the Mariner's Compass , or the like Forreign help ; and besides other useful and surprising Operations , ( relating both to the Sun and Moon , and perform'd by the Shade alone ) we have by it not only the constant proportion of Perpendiculars to their Shade , with several Corollaries thence arising , but also an easie , new , and most compendious way of describing Dials on all Plains , as well Geometrically as Mechanically : most of which may be taught any one in few Hours , though never so unacquainted with Mathematicks . To this is added , on the Pedestal , a Projection of all the appearing Constellations in this Horizon , with their Figures and Shapes . And besides , several new things in it differing from the Common Astrolabe , ( tending to a clearer and quicker way of Operating ) the very Principles of all Steriographical Projections are laid down and Mathematically demonstrated ; as is of every thing else of moment throughout the whole Treatise . AN EPITOME Of the whole ART of WAR , &c. In two Parts . THE extraordinary Benefit of the Noble Science called Military Discipline , with that Mathematical Art called Fortification , or Military Architecture , is so well known , that it stands not in need of my commendation : and therefore to speak any thing thereto were but to light a Candle before the Sun. In the managing of these Subjects I shall endeavour to be very plain and easie ; calculating them so as to be understood even by the meanest Capacities ; And first . Of Exercising . AS soon as the Regiment is drawn into Battalia , the Commander in Chief is to place himself before the Centre of the Pikes , about six Paces from them , that he may be more easily understood by the whole Body ; and that he may the better observe what is done , he is to be on Horse-back . The Serjeants are to be placed two on each Rank , the Right and Left ; The remainder always to be in the Rere , making a Rank parallel to the Souldiers at three Paces distant from the last Rank . The Drums are to be disposed of , one half on the Right , and the other on the Left , ranging directly with the first Rank of the Soldiers . The H●boys to be on the Right of the Drums . The Commission-Officers ▪ are to take their Posts at the head of the Battalions as the Colours are drawn . The words of Command ought to be given very leisurely and distinctly ; and silence is to be kept very strictly : And in order thereunto the first word of Command before you begin the Exercise is Silence . The next word of Command is Files open to the Right ( or to the Left ) to your Order , March. At which word every Man turns to the hand named , and the Serjeants on the Flank lead the Ranks , which are then Files , directly forward with their Halberts advanced . In this order no Man is to stir till his Leader be at least four foot from him , and then to move keeping at that distance ; when the Officer sees the Files are opened enough the next word of Command is Halt , as you were , or to your Leader . The Captains and Lieutenants always carry their Pikes Comported when they move to the Right or Left , and the Colours are advanced . The Serjeants are to be very mindful to keep the Ranks even , and at 12 large feet distance , and the Files at three . The next thing is the Chief Officer gives this word of command , to the Officers at the Head of the Battalion ( Have a care of the Exercise ; ) at which word of command the Musquetiers are to pull off their right-hand Gloves , and put them under their Girdles ; and the Pike-men are to joyn their lest hands to their Pikes even with their Shoulders . Then ( Officers take your Post of Exercise in the Rear , March. ) The Officers facing to the right about , the Captains marching in one Rank , and the Lieutenants and Ensigns in another , till they come into the Rear , and place themselves in Ranks , the first thirteen , and the other eleven Paces from the Souldiers . And at the same time six of the Serjeants at the Rear , march through the intervals of the Files into the Front , and post themselves six paces advanced before the chief Officer , where they are to range themselves into a parallel Line with the Battalion to keep the Front clear . The Musquetiers being shouldred , the Pikes advanced , and silence commanded , the Officer in chief proceeds as followeth . Viz. Order your Pikes , to the Right , to the Right , to the Right , to the Right , to the Right about ; as you were . To the left , to the left , to the left , to the left : To the left about ; as you were . Rules for the Exercise of the Fire-Lock . THE Soldiers must take care of the carrying their Arms ; and be sure that they make no motion until the word of command be given and ended . Musquetiers have a care of the Exercise ; carry your Arms well . Here you must note that if it be a single Exercise , the Command is : 1. Soulder your Musquets . 2. Lay your right-hand to your Musquets . 3. Poise your Musquets . 4. Rest your Musquets . 5. Cock your Musquets . 6. Guard your Musquets . 7. Present . 8. Fire . 9. Recover your Musquets . 10. Half bend , or half cock your Musquets . 11. Clean your Pans . 12. Handle your Primers . 13. Prime . 14. Shut your Pans . 15. Blow of your loose Corns . 16. Cast about to Charge . 17. Handle your Chargers . 18. Open them with your Teeth . 19. Charge with Powder . 20. Draw forth your Scowrers . 21. Shorten them to an inch . 22. Charge with Bullet . 23. Ram down Powder and Ball. 24. Withdraw your Scowrers . 25. Shorten them to a Handful . 26. Return your Scowrers . 27. Poise your Musquets . 28. Shoulder your Musquets . 29. Poise your Musquets . 30. Order your Musquets . Rules for the Exercise of the Pike . PIke-men take heed . Advance your Pikes . To the Front , Charge . To the Right ( 4 times . ) Charge . To the Right-about . Charge . As you were . To the left ( 4 times ) Charge . To the Left about . Charge . As you were . Charge . Advance your Pikes . Shoulder your Pikes . Charge to the Front. As you were . Charge to the Right . As you were . Charge to the Right about . As you were . Charge to the Left. As you were . Charge to the left about , As you were . Port , Comport . Charge to the Front. Traile . Charge . As you were . Advance your Pikes . Musquetiers take heed . Poise your Musquets . Shoulder your Musquets . Musquetiers make ready . The manner of the Exercise of the Pike and Musquet together . MVsquetiers make ready . At the pronouncing these words of Command ( the Pikes being advanced , and the Musquets shouldred ) the Musquetiers are to perform distinctly every posture of the Musquet together , and being ready ( which is understood to be Cock't ) they are to guard them with their thumbs on their Cocks , and bring up their Musquets streight before them , their left hands the height of their mouths . Both Pike-men and Musquetiers always observing when ever they recover their arms before them , to bring their right heels to their left insteeps ; and when the Pikes charge , and the Musquets rest , to fall back with their right feet in a direct line . Then to the Right ( 4 times ) Charge . To the Right about , Charge . As you were , Charge . To the left ( 4 times ) Charge . To the left about . Charge . As you were . Charge . Recover your Arms. Half bend your Musquets . Poise your Musquets . Shoulder your Musquets . Here the Pike-men are to bring their Pikes from their Recover to their Advance . Poise your Musquets . Here the Piekmen are to joyn their left hands to their Pikes even to their shoulders . Then , Order your Arms is the next word of command . In ordering their Arms they must be sure to make a little stop before the But-end comes to the ground , that they may come down altogether at once . Pikes to your inside Order . Lay down your Arms. Quit your Arms. After laying down their Arms and quitting them , they are all to stand up together . To the right about . March. When the Soldiers have laid down their Arms and quitting them , upon beat of Drum , they are all to draw their Swords , and run to their Arms observing always to keep the points of their Swords upright for fear of mischief . When they lay their right hands on their Swords , they must take hold of their Scabbards with their left hand . Then , the next word is . Return you Swords . When they return their Swords , they must do it all at one motion . Handle your Arms : Pikes to your outside order . Poise your Musquets . Shoulder your Musquets . Advance your Pikes . Officers take your Posts at the head of the Battalion ▪ March. Here all the Officers are to march back in the same method to the Front of the Batalion as they went from it . Directions for the several Postures in exercising of the Musquet and Pike ; and , first , of the Musquet . HE that designs to be a Soldier , or become an Artist in Arms , ought , in the first place , to learn and practise the Postures of his Arms , a Posture being a Mode or Garb that we are used unto in the well-handling of our Arms. 1. Silence is an excellent Virtue , and observe for all , That in the Exercise both of Pike and Musquet , the Feet are to be at a moderate distance ; for if they are too wide asunder , or too near together , it weakens ▪ and be sure to keep your left heel fast , and to set your feet exactly , or else you can never handle your Arms as you ought . Lay your right hand on your Musquet . Turn the Barrel toward you , the Lock uppermost , and lay your right hand , ( the fingers extended ) just behind the Lock , close the but-end of your Musquet to your shoulder , that the Muzzels may be all of a height . Poise your Musquet . Grasp your Musquet hard , facing to the right with a quick motion upon your left heel , keeping your Musquet directly before you the height of your Cravat , your right elbow on your side , your feet neither too near nor at too great a distance , but so , that by turning the point of the left toe to the Front , and that of your right as you face , your left heel being exactly against the middle of your right foot , you are in the posture for resting ; which is the reason of facing to the right , that you may be in a readier posture to rest . Rest your Musquet . Let your Musquet sink down to your left hand , and receive the Musquet into it , just where the Scowrer enters into the Stock , not touching the Barrel , keeping your right hand upon your Musquet , behind the Lock , let your Musquet be held a little sloping , about half a foot from your side , as low as you can without stooping . Cock your Musquet . Place your right thumb upon the Cock , and your fingers behind the Trigger , and with the help of closing it to your thigh , you cock it , keeping it still rested with your thumb upon the Cock. Guard your Musquet ; keeping your thumb upon the Cock , and your fingers behind the Trigger , you bring up your Musquet with a very quick motion streight before you to the Recover , your left hand as high as your mouth , about half a foot from it , without stooping , bringing your right heel to your left in step . Present . Fall back with your right foot , so that the left heel be against the middle of it , raising the but-end of your Musquet to your shoulder , your right elbow not higher than your Piece , bending your left knee , and keeping the right very stiff , and your Musquet being level'd breast-high , with your fingers upon the Trigger . Fire . Then be sure to draw the Trigger at one motion , keeping your body steddy , taking good aim , and keeping your Musquet fast to your shoulder , until you have the Word of Command . Recover your Arms. Sink the but-end of your Musquet , till you hold it upright in both hands , the left hand alwaies as high as your mouth , and the right under the Lock , bring up your Musquet with a very quick motion , and your right heel to your left instep . Half bend your Musquet , falling back with your right Leg , bring your Musquet to the Rest , laying your right Thumb upon the Cock , and your Fingers behind the Trigger , half bend it , by putting it close to your Thigh , and then keeping your Musquet rested . Clean your Pan ; pressing the Ball of your Thumb into the Pan , you wipe it : having done that , hold your Musquet in your right hand behind the Lock . Handle your Primer : Take hold of the great end of it , between the Thumb and fore-finger of your right hand , your Arm backward . Prime . At which time you must level your Musquet , to be exactly upon a line , and then put Powder into your pan . Shut your Pan with your two first Fingers , and casting back your Primer , bring your Musquet to the Recover , as there directed , keeping your Thumb on the top of the Steel Blow off your loose Corns . Be sure to blow all together : bring your Pan up to your mouth , standing upright , blow off the loofe Corns , then let your Musquet sink into the posture it was in before . Cast about to Charge : you advance with your right leg , turning your Musquet , the barrel downwards , bringing it to the left side a little backwards in your left hand , keeping your right-foot-toe directly to the Front , and your right heel over against the middle of the left foot , ballancing your Musquet in the left hand , the right hand joyned to the Muzzle , which must be held directly to the front , a foot from your body . Handle your Charger . Take it full in your hand , and place it underneath your Musquet , about an inch from the Muzzle . Open it with your Teeth . Bring it up to your mouth , standing upright with your Head , and not to bring your Head down to it : Assoon as you have done this , bring the Charger within an inch of the Muzzle underneath , as before , and cover the mouth of your Charger with the Ball of your Thumb . Charge with Powder . Put the Charge of powder into the barrel , then hold your Charger again underneath your Musquet , as before . Draw forth your Scourer . Now let fall your Charger , and turn your hand , your little-finger next the Muzzle , and draw it at three motions ; being drawn , dart it , that is , hold it level to the height of your Eye , your Arm extended . Shorten it to an inch . Turn the great end of your Scowrer towards you , and slip your hand till within an inch of the end , letting it rest against your body , a little below your right breast , sloped all of a height . Charge with Bullet . Take the Bullet out of your mouth , putting it into the barrel , and then put the great end of the Scourer after it , just into the Muzzle of the Piece , and so stand till the next word of command . Ram down Powder and Ball. Which is done by holding a handful of the Scowrer in your hand , and your thumb on the top of it . Withdraw your Scowrer . Turn your hand , your thumb and fore-finger towards the Muzzle , and when your Scowrer is clear , which is to be done at three motions , dart again as before . Shorten it to an handful . Turn the small end of the Scowrer to your breast , and slip your hand till within an handful of the end of it , holding it to your body , as before directed . Return your Scowrer . Re-place it in the Stock of your Musquet , pressing it down with your thumb ; then alwaies remember to grasp the Muzzle of your Musquet with your right hand , your thumb streight out upon the Scowrer , keeping your Musquet clear from your side some half a foot , the Muzzels all of a height , directly to the front . Poise your Musquet . With your left hand bring up your Musquet before you , and falling with your right leg even with your left , grasp your Musquet under the Lock with your right hand , and poise as before . Shoulder your Musquet as formerly : Poise as before . Order . Sink your right hand a little ; take hold of the Stock with your left hand upon the place where the Scowrer goes into the Stock , then sinking that hand , take hold of the Muzzle with your right hand , and let the but-end sink to the ground , close to the right foot , the Lock outwards . Lay down your Musquet . Turn your Musquet with the Lock upwards , and step forwards with your left leg and right hand , and lay it upon the ground in a streight line . Quit your Musquet . Fall back with your left leg even to the right , and stand up . Handle your Musquet . Step forwards with your left leg , and lay your right hand near the Muzzle of your Musquet . Order your Musquet . Lift up the Muzzle of your Musquet , and fall back with your left leg even to the right , turning the Lock of your Musquet outwards , by the middle of your foot . Directions for the several Postures in exercising of the PIKE . ADvance your Pikes . With your right hand lift upright your Pike as high as you can well reach , and take it with your left hand as low as you can , and raise it till the but-end comes into the right hand , then bring it between your breast and shoulder upright close to your thigh . To the Front. Lay your left hand on your Pike even with the top of your shoulder , and bring the Pike streight upright before you with a quick motion ▪ drawing in your right heel to your left instep . Charge Fall back with your right leg , so that the heel of your left foot may be directly against the middle of your right foot : Bring down your Pike extream quick , with a jerk , and charge Breast high ; your left Elbow under your Pike to support it , yielding your body forwards , and bending your left Knee , with your feet at a convenient distance , that you may stand strong , always holding the But-end of your Pike in the Palm of your right hand , and your left foot pointing in a strait line with your Pike . To the Right four times . Turn your left Toe to the right ; Bring up your right heel to your left Insteps and your Pike recovered straight before you with as quick a motion as in Charging : Then having turned , fall back with your right leg as before . Charge as before . To the right about . Turn your left Toe to the right about ; bringing your right Heel as before , and your Pike recovered charge before . As you were . You turn your left Toe to the left about , bringing up your Pike recovered , your left hand never to be higher than your Mouth , and your right Heel as before ; and being turned , you fall back with your Right Leg and Charge . You must be sure always to bring your Pike streight up , and not to swing it about , for then 't will clatter against the other Pikes . To the Left , Four times . To the Left about . As you were . Advance your Pikes . Bringing up your Right Heel to your Left Instep , and your Pike first before you , you fall out with your Right Foot even with your Left , and bring your Pike to your Shoulder . Shoulder . Lay your Left Hand on your Pike even with your Shoulder ; fall back with your Right Leg , and put back your Right Arm as far as you well can , holding your Pike half a Foot from your side , then taking off your Left Hand , bring up your Right Leg , and lay your Pike on your Right Shoulder , your Elbow close to your Body , the butt-end half a Foot from the ground . Charge to the Front. Fall back with your Right Leg , and put back your Right Arm as far as you can , be sure to keep the Spear directly to the Reer , and your Pike sloaped at the same heighth with the Spear as when it was Shouldered , neither higher not lower . Vide Charge . Shoulder , as you were . You must now raise your Pike with both your Hands , then leaving it with the Right Hand , and turning the Head backwards with the Left , take hold again with the Right , as high as you can reach with ease , bringing up your Right leg , taking off your Left Hand from your Pike , Shoulder as before . Charge to the Right . Bring your Pike up , and turn the butt-end backwards by your Right side , taking it in the Palm of your Right Hand , turning your Body to the Right upon your Left Foot , with your Right Leg behind your Left , and Charge as before . Shoulder , as you were . Raise your Pike with both Hands , then turn about to the Left , bringing your Feet as formerly directed , then with your Left hand turn your head of the Pike to the Right : Then taking hold of it with your Right Hand , hold it in both hands , at a little distance from your Body as before , sloped at the same height as when Shouldered , then bringing up your Right Leg , lay it on your Shoulder . Charge to the Right about . Fall back with your Leg and Hand as before , and stand with your Pike in the same Posture , then upon your Left Foot , turn to the Right about , bring the Butt-end of your Pike to the right side , falling back with your right Leg , level your Pike Breast high , and Charge . As you were . Turn to the Left about , and with your Left Hand , bring the Butt-end of your Pike by your left side , keeping the Speer-point exactly to the Reer , the same height as before , then laying your Right Hand as high as you can well reach , hold it from your Body as before , then bring up your Right Leg and Shoulder . Charge to the Left. Fall back with your Leg and Arm as in the rest , and turn to the Lest , and with your Left Hand turn the Butt-end of the Pike to the Right , and bring up your Right Leg. Charge . As you were . Bring your Pike over your Head with your Left Hand ; falling back with your Right Leg , and puting back your Right Arm as before , bring up the Right Leg , and Shoulder . Port. As Charging to the Front , but that you sink not the Spear of your Pike so low , and instead of letting the Pike rest upon your Left Elbow , 't is to rest between the Thumb and Fore-finger , and your Elbow close to your side . Comport . You bring your Left Hand as far back as you can , and stretching out the Right at the same time , step forwards with your right Foot , grasp your Pike with your Right Hand , then leaving it with your Left Hand , fall back with the Right Leg even with your Left , close the Pike to your side , the Spear of your Pike about the height of your Head. Charge to the Front. Extend your Right Arm as much as you can , advancing your Right Leg at the same motion , and putting your Left Hand as far back as you can , bring forward your Pike ; then stepping back with your Right Leg , take hold of the butt-end of it with your Right hand , when you Charge , Charge always Breast high . Trail . Face to the Right about , and let the Spear of your Pike fall behind you ; quit your Right Hand from the butt-end of it , without stirring your Left. Charge as you were . Turn to the Left about , and taking the butt-end of the Pike on the Palm of your Right Hand . Charge . Advance your Pikes . Bring up your Right Heel to your Left Instep , and your Pike before you to the Recover , you fall out with your Right Foot even with your Left , and bring your Pike to your Right Thigh . Order your Pikes . Lay your Left Hand on your Pike , even with the top of your Shoulder , then sinking your Left Hand , take hold of it with your Right Hand so , as when the butt-end of it is upon the Ground , your Right Hand may be against your Eye , keeping your Pike near your Head , and the butt-end near the Latchet of your Shooe. Pikes to your inside Order . Move the butt-end of your Pike on the inside of the middle of your Right Foot. Lay down your Pike . Step forward quick with your Left Leg , lay it down strait with your Right Hand . Quit your Pikes . Bring back your Left Leg even to your Right , and stand up altogether . Handle your Pikes . Step forward with your Left Leg quick , placing the middle of your Right Foot against the but-end of your Pike , lay your Right Hand on your Pike as far as you can reach . Order your Pikes . Raise the Pike with your Right Hand only , and fall back with your Left Leg. Pikes to your Outside Order . Place the butt-end of your Pike at the middle , on the outside of your Foot. Advance , As before . PLATE I. The Way and Method , how to form and order Battalions of Foot. THIS Excellent Art of forming the Foot , instructs how to draw up a Body of them in such excellent order , and with so much precaution beforehand , that it may be able to withstand 〈…〉 another Body of Infantry , though of a 〈◊〉 greater number ; or a Body of Cavalry alone ; or else a Body compos'd both of Cavalry and Infantry , when attacked in a Plain , Down , or in an open Field , where there are neither Defiles as Hedges nor Ditches , nor any rising Grounds to defend them from the Enemy . Now the Pike and Partisan , being the only Arms proper to stop 〈◊〉 fury of the Cavalry , and to prevent their breaking in upon the Battalion , the first thing that is to be done in drawing up this Battalion , must be to form a Body of all Pikes , and it must be the chief care of the Officer that commands the Party , to dispose his Men in such a form , that they may be able not only to defend the Musqueteers , but the Colours also , and the Baggage , if there should be occasion . Plate I 1. The Men must be so ordered , as to stand with their Arms presented every way , and to make a Front on every side , to the end , that whatever of their Fronts be assailed , or attacked , they may be able to defend themselves . 2. The Soldiers must be so ordered , that the Angles of the Battalion may be very obtuse ; in such a manner , that the two sides that form the Angle , joyn together , but with one right Line only . For the Angle is the weakest part of the Battalion , as being least strengthened by the Pikes . For the Soldiers which are next the Angle , present their Pikes in Front , and not being able therefore to present , lie open to the Enemy . So that our Fore-Fathers , with whom squ 〈…〉 Battalions were in great use , flanked their Angles with little Bodies of Musqueteers marked ABCD , which are small Bodies posted in the middle of the Fronts of the Battalion , and with which sometimes they secur'd the Angles . True it is , that these little Bodies being easily cut off by the Horse , and beaten off from the Body of the Battalion , the farther use of them has been laid aside . 3. You ought to leave void a space of Ground in the Center of the Battalion , or middle of the Pikes , sufficient to receive and secure the Musqueteers , the Colours , and Baggage . The manner of ordering any number of Soldiers into any Square Form of Battel . 1. These are to be considered either in respect of the Form of the Ground , or of the Number of the Men. A Square Battel of Ground is that which hath the Rank as long as the File , notwithstanding the Men in Rank be more than in File . A Square Battle of Men , is that which hath an equal number of Men both in Rank and File , though the Ground on which they stand be longer on the File than on the Rank . 2. In respect of the number of the Men , it is called either a Square Battel or a Double Battel , or a Battel of the Grand Front , which is Quadruple , or a Battel of any proportion of the number in Rank to the number in File . 3. So that if you are to form a Square Battle of Men , extract the Square Root out of the whole number of Men , and the same shall be the number of Soldiers to beset in a Rank . As for Example , 570 are to be formed into a Square Battel , that there may be as many in Rank as in the File . Take the Square Root of 576 ; which 〈◊〉 ●4 , the Number that are to be in Rank , and also in a File . To order any number of Men into a Battel of the Grand Front. SUppose 16900 Soldiers were to be Marshalled into a Battel of the Grand Front. First divide 16900 by 4 , which gives me 〈…〉 out of which I extract the Square Root , which is 65 , the Quadruple whereof is 260 , so that I have 6 for a File , and 260 in Rank . Any number of Men , with their distance in Rank and File , how to order them into a Square Battel of Ground . SUppose 2500 Soldiers , were to be 〈…〉 Square Battle of Ground , so that their distance in File should be 7 Feet , and in Rank 3 Feet ; How many Men must be placed in Rank and in File . Say , by the Rule of Three , as 7 to 3 , 〈◊〉 2500● to ●●71 , the Square Root whereof is 32 , which is the number of Men in a File , and 3 over . How to find the number of Men that are to be in Rank , divide 2500 by 32 , the Quotient is 78 , which is the number of Men to be placed in a Rank , and 4 over . The manner how to order the Square in time of Battel . THE Square being formed as aforesaid , the Officers are to take care , that every Front of Soldiers do their Duty ; and the Captains that are in the Center of each Front , are to retire into the first Rank , when the Musqueteers make ready , and are to kneel when the Soldiers kneel , and to perform the same with their Pikes as the Pikemen do : Then Command ; Granadiers take your Posts in the Angles . Here your Granadiers are to be divided in 4 equal parts , and are to be placed without at the 4 Angles ; but if there be not room enough , you may place some of them within the Angles with their Daggers in their Firelocks : Those without the Angles are to be 3 deep . The 2 last Ranks of which are to fire with the Musqueteers . And the Front Rank are to make ready their Granadoes . And as soon as the two last Ranks have fired , they are to put their Daggers into their Firelocks , and stand Charged ; and when the first Rank of Musqueteers present , the first Rank of Granadiers are to deliver their Granado's ; which done , they are to unsling their Firelocks , and put in their Daggers , and stand Charged as the rest . 2. Face Square . Here the Musqueteers on the Right and Left are to face outwards , and those to the Rear , to face to the right about . The 3 outwardmost Files of Pikes on the right and left , are to face outwards , and the Rear half Files of the rest of the Pikes are to face to the Right about . Those in the Angles are to face to the points of the Angles . 3. Musqueteers make ready . Here the Pikes are to Port very low , and to continue so , and not to Charge when the Musqueteers Present . 4. First Rank Kneel . Which they must do , holding their Musquets , so that the two last Ranks may fire over them . 5. The two last Ranks Present . Fire . As soon as ever the second and third Rank have Fired and Recovered their Arms ; the first Rank is to stand up without any other Word of Command , with their Musquets Cocked and Guarded , ready to Present . 6. Recover your Arms. Here the first Rank stands up with their Musquets recovered strait before them , ready Cocked and Guarded , and the two Ranks that have fired load . 7. Front Rank Present . 8. Fire . Recover your Arms. At which Word of Command , the Pikemen are to recover their Pikes from their Port. To your Leader , March , Halt , Face , Square , &c. According to this Method , they may be made to March and to Fire to every Front. PLATE II. The General Rule for the blunting or filling up the Angles of the Battalion . EVERY Body , whether lesser or greater , that requires the blunting of its Angles , ought to be compos'd of a Square number of Men , as of 4 , 9 , 16 , 25 , 36 , 49 , &c. Therefore you must place the Men in Rank according to the Arithmetical Progression , or Proportion , of which the Interval , Excess , or Difference of the Terms must always be two : Thus , having placed the first Man at the Angular Point A of the Figure 1. the second Rank shall be of three Men , as being a number of which , the Excess , Interval , and Difference is Two in respect of one . The third Rank shall be of five Men ▪ which is a number that exceeds three by two . The fourth shall be of seven ; the fifth of nine , and so forward , still encreasing every Rank by two Men , more than the Rank which is before , according to the same Arithmetical Progression , which has always two for the Interval , and difference of the Terms . Now to place these Men in due Order , you must imagine that the Square little Body ACBD ; moves off the Ground T , upon the left of the Plate II Fig 1 Battalion Q ; and when its last Rank AD , is advanced one Pace beyond the Wing AD of the same Battalion Q , it turns to the right , and then the Soldier A of the Second Figure comes upon the Ground A of the first Figure . The sides AD , AC , of the small Body meet together upon the sides that answer one another , AD , AC of the Angle . Then you Command the Men of the little Battalion to make a Front toward the Angle , and when they are drawn up according to this Arithmetical Progression , you cause them to make an outward Front. PLATE III. The manner of framing an Octogon Battalion with Eight Fronts . SUPPOSE it a Battalion of 40 Pikemen , drawn up four deep , and 10 in Front. You may , according to the same Method , draw up like an Octogon , any number of Pikemen that shall observe the same Proportion of 4 to 10 , between Front and Depth , as 8 in Depth , and 20 in Front , 16 in Depth , and 40 in Front , or 32 in Depth , and 80 in Front. For in this Example I have chosen this little number of Pikemen , to give the more light to the ordering and disposing of a far greater number . The Words of Command . 1. The two right hand Files , and the two left hand Files stand fast . AB , IL. 2. The half File of the two right hand Files , face to the right , B. 3. The half File of the two left hand Files , face to the left L. 4. Files of the Wings , March. Plate III Fig III Fig I Fig IV Fig II There remains afterwards upon the ground of the Battalion , the six Files CD , GH , which must be opened by half Ranks , and half Files , to form the Cross of the third Figure , and to clear the ground of the Center , by a quarter Wheeling . 5. The half File of the right hand half Rank C , half turn to the Right . Order your Pikes . C makes a Front towards the Rear , and keeps his ground . 6. File-leader of the right hand half Rank to the right , G. March. Stand. The three Files G , make a Front toward A , upon the right Wing , and advance on that side , two or three Paces beyond their Ground ; and so thar which was a File is become a Rank . 7. They that marched stand fast ; G to the Right , a Quarter Wheeling . The three Files G , make a quarter turn to the right , and wheel about the Soldier R , in like manner as the right Wing TY of the first , and became placed , as you see the 2d Figure ; where the three Files G , are marked with the same Letters as they are in the Body of the first Figure . And because ▪ that after the Wheeling , they make a Front toward VR , to the end they may make the Front outward on the side of VXY . ( The next Word of Command is : ) 8. To the left . — Order your Pikes . 9. File-leader of the left hand half Rank , stand upon your Guard , H. March. Take notice in the 2d Figure of the three Files H , marked with little Points . These you cause to march forward along the Line marked PM , QF , to gain the ground H , marked with three great Dots in the same Figure . But to gain this ground , they march beyond the ground of the Battalion , till the second Rank pointed PN , have advanced three Paces farther than the Flank YT , of the three Files G , which then make a Wheeling , which will happen when the Soldier P , shall be upon the ground Q , and that the Soldier M , shall come upon the ground F , at what time the Word of Command . 10. To the Right . — March. To make a Front toward the three Files G , and when they shall come to be three Paces from the Rear of the three Files G , then Command them . 11. To the Left. Rest your Pikes . Then they will make a Front outward , and so shall keep their ground . 12. The half File of the left hand half Rank , stand fast , D. March. Stand. The half File D , advances two Paces beyond its ground . 13. To the Right . — A Quarter Wheeling . The half File D , makes a quarter Wheel about the Soldier Z , and because that after the Wheeling , they make a Front inward toward the Center , therefore to change the Front outward , the Word of Command is : 14. They that made the Quarter Wheeling , wheel by half Conversion to the Right . The Cross being thus made , you bring the four Files upon the Ground , 4 , 5 , 7 , 8 , and blunt the Angles according to the foregoing General Rule . PLATE IV. The manner of drawing up a Battalion in a Hexagonal Figure , with a void Space in the Center , and the Front of the Battalion five times exceeding the Depth . WE suppose the Battalion to consist of 720 Pikemen , 12 Deep , and 60 in Front , which is to be drawn up into an Octogonal Figure like that marked ♂ . The Battalion being drawn up in the large black Draught of the first figure , to bring it to the Square marked with Points in thē same figure , the following Words of Command are to be made use of . 1. The twelve Files of the Right wing , of the twelve Files of the left wing , stand fast , C. D. Q. P. A. B. 2. The six Right-hand files of the Right-wing , and the six left hand files of the Left-wing , C. D. A. B. 3. They that have advanced double their Files inward to the Front and Reer . A , Takes the Ground V. B. takes the Ground T. G. takes the ▪ Ground G O , and D. possesses R. 4. They that had the word of Command , and they that have doubled , stand fast , VPT , OQR . 5. Middle files stand fast ME. 6. Advance you Pikes , Middle files EM . 7. The half file of those that advanced their Pikes , wheel by half Conversion to the Right M. 8. March those that advanced their Pikes , till the first Rank be advanced one Pace further than the first of the files that doubled Front and Reer . M and E move and change into the Ground marked with the points M and E , and from the square represented by the same points , which is afterwards to be considered in the figure K. 9. The six right-hand Files and the six left-hand Files that marched wheel , by half Conversion , into IF , HH , which done , Face towards the Center of the Battalion . 10. They that have wheeled by half Conversion to the Right , march toward the Center till the last Rank be all entred . I and F come upon the Ground Y , and HH upon the Ground GG where as they stand , they are caused to turn to the Right and Left , to advance forward , that is , Y fronting Y. and G. fronting G , by which means YY . GG . possess the Ground of NNNN . The Ground IY . and FY becomes void . Then the word of Command is to be given to the two particular Battalions , OQR , VPT , which in regard they make a front inward , you must order the Battalion OQR , to make a half wheel to the Right , and the Battalion VPT , to make a half wheeling to the left , and by that means they will make a front inwards , and you shall cause them to march to the Center , and the O and V shall possess the ground Y , Y , and R and T shall possess the ground GG . Then you must cut off eight fourths of the Ranks ORVTLLLL , and reduce them into Triangles , to blunt the four Angles that are next them , and the Battalion shall be formed after an Octogonal figure , as in the figure marked ♂ , where you see the same letter made use of here , they answer to the same letters in the two other figures . You have 532 Musquetiers at 12 in depth , and 44 in front , there will remain 4. The 532 Musquetiers shall serve for the Flanks of the Battalion of Pikes , and to that purpose you shall take 12 files of the right Wing , which will make 144 Musquetiers , and as they will be equal in front to the Body of the Pikes marked E , you shall march them to the head of the said Body , and cause them to enter into the Center through the Intervals of the Pikes . When they are advanced towards the Center , divide the Ranks into half , so that one half Rank shall march towards the Body of Pikes marked Q , and the other half Ranks towards the Body of Pikes marked P. After this take from the left Wing of the Musquetiers 12 files more , which make 144 men ; and cause them to advance towards the Center through the Intervals of the Pikes E , and then divide them by half files . One half File shall advance toward M , and the other half File shall stand their ground behind the Pikes E. For the 304 Musquetiers that remain , they shall make the two Files that surround the whole Body . PLATE V. The way and manner of reducing a Battalion with a void space in the Center . YOU begin with the Musquetiers which you command from the Center through the several fronts MPEQ , which together with those that surrounded the Body , you cause to rank and file themselves as they were . As for the Pikes that form the Octogonal Body , you give them the following words of Command : 1. They that stand in the Angles to your Places , O , and R. resume their distances , and make the same front at Q. The files V and I do the same in respect of P , and the files LL observe the same order ; in regard of the Pikes ME. 2. The twelve files of the right wing , and the twelve files of the left wing , that doubled Front and Reer , stand fast OQR , VPT . 3. March files of the wings that have received the word of command ; OQR and VPT , move off and march forward . Plate IV : Fig 1. 5. The Files that marched toward the Center , to their places ; the four small Squares NNNN , return to the Front of M. and E. 6. The middle Files stand upon your Guard E. M. 7. The half File , of the middle Files , half a Turn to the Right , M makes a Front towards the same Center . 8. File-Leader of the middle Files , half a Turn to the Right , E makes a Front towards the same Center . 9. March middle Files E and M , move forward till they come upon the Front CDQ , and PAB of the first Figure . 10. File-Leader of those that marched , half a Turn to the Right , E returns to its first Front , and the Battalion is reduced . Directions for Firing . 1. In keeping of Ground : This way of Firing may be performed either by two Ranks at a time , or three Ranks ; The first Kneeling , and the second Stooping , or the two first Stooping ; or else thus , Musketeers make ready all , at which time the Musketeers are to be Cocked and Guarded ▪ and their Arms strait before them , the Pikes Ported , and when the Musketeers Present , the Pikes are to be charged . Then The five first Ranks Kneel , The Reer Rank Present , Fire ; Fifth Rank stand up , Present , Fire ; Fourth Rank Stand up , Present , Fire . And so of the rest . And as they have fired , they are to charge again , and to be in a readiness against the next Word of Command . 2. For Fire gaining Ground , the Command is , First Rank and Musketeers make ready , Halt : Then Present and Fire . Here they are to recover their Arms without any command , and to file off to the Right and Left into the Reer . When the first Rank presents , the next Rank is to make ready without any Command , and as the first Rank files off , the next make good the Front , and so the Battalion is to March again , and every Rank to Fire in this order ; And when every Rank presents , the Pikes are to charge without any command . 3. Of Firing to the Front retreating . The best way is to Fire by single Ranks , in the same method as in gaining Ground , only after every Rank has fired and filed off to the Right and Left into the Rear , instead of the next Rank advancing to make good the Front of Pikes , the Pikes are to retreat to the Musketeers , who stand still till the Pikes make an even Front with them . PLATE VI. The best Way and Method of Marching an Army in a Flat and Plain Country . Plate V. A Regiment of 12 Companies Encamped Officer in Cheif Captains Saba●terns Souldiers Serjeants Muskets & Pikes Profile for Trenches Profile for Redoubts All the Companies being drawn up , they shall begin to March , and must range themselves in Squadrons and Battalions , to be afterwards embattel'd in the Ground marked out by the Marshal of the Camp , or his Assistants . The Marshal of the Camp ought in the first place to be exactly informed of the condition of the Country through which the Army is to march ; taking his Instructions from the general and particular Maps of the Country , or from the Information of the Country People . He shall draw up his Men in Battel-Array , according as he thinks most convenient , or as the General shall have given him Order . If it be through a plain and open Country , which is convenient for the Cavalry , the Artillery and Waggons , then let him extend the Wings of the Army , and observe the following Order . He shall divide his Army into three Bodies , that in the middle must consist of three Thirds of the whole Infantry , drawn up in great Bodies and Battalions , each consisting of two or three Regiments . Upon the Wings or Flank of this Infantry , must be placed the great Artillery , guarded by some Battalion of the Infantry . Upon the Right and Left Wing of this middle Line shall the Cavalry march , in little Squadrons , each consisting of two Cornets . The rest of the Infantry marching in little Bodies , shall enclose between it and the Cavalry , the Baggage and Ammunition of the Army , with some Field . Pieces ; as may be observed by the March represented in the Figure . PLATE VII . Of the March of an Army through an Enemies Country . IF there be a Necessity to carry the War into the Enemies Country , either to Besiege some place therein ; or else for the Relief of some place already besieged , whether the Enemy be beaten in the Field , or whether he still keep the Field to put new Supplies of Men and Provision into the Garrison , or hinder Provision from being brought to the Enemies Camp. Upon all these Occasions whether he encamp in the Field , or Quarter in Villages , the General must take care that the Commissary General of the Victuals , and the Treasurers at War be diligent and faithful in their Charge , in providing and furnishing the Army with Victuals . If the Enemy has been routed , and be not in a condition to recruit , then you may march as in the preceeding Pages , whether the Country be open or streighter . Plate VI. Plate VIII The Cavalry must be placed upon the Wings , in Front and in the Reer of the Bodies . The Infantry must march in the middle , and in a gross Battalion . The Artillery upon one side , guarded by some old Regiments , as you see in the Plate . PLATE VIII . General Directions for Encamping an Army . WHEN the Camp-Master General , or Major-General hath read the Number of the Horse and Foot that are in the Army , he must proportion and cast up what space of Ground will suffice to encamp them with all their Provision , Carriages , and so that neither for due Room the Soldiers be pestered , nor by over large Spaces the Camp not sufficiently fortified . This being of great Importance , it will be requisite for him to understand well Arithmetick and Geometry , and to have in readiness sundry Plats and Models , and Forms of Camps whereby he may suddenly resolve for any Number or Situation , what Form and Quality is most convenient , and presently stake it out ; assigning due place for every Regiment of Horse and Foot. Before Encamping he ought to consider , if the Army consist much of Horse , that there be good store of Forrage nigh the Camp , and that the Camp be not subject to any Hill from whence the Enemy may with his great Artillery incommode it : Nor that it be so separated from Water , that the Enemy may easily cut you from it ; nor that it be so low , as that the Enemy by cutting the Banks of any River , may drown the Camp. And if there be no great Rivers , but only Fountains or Wells of Water , then must good Watch be kept that they be not poysoned nor infected by the Enemy . In a running or moveable Camp , the readiest Fortification is to impale it round with the Carriages chained together , bending the Artillery that way where most suspicion is the Enemy will approach ; and if time permit , to cast some Trench also without the Carriages . PLATE IX . The manner of Ranging a Battel in order to a present Engagement . Plate IX . Sometimes he engages himself voluntarily , designing to relieve some place that is Besieged . But what way soever it be , that he is forced to come to a Battel , he must endeavour to order his Men after the following manner . He shall range his Infantry in Battalions , every one consisting of five or six hundred Men , or a thousand Men , which are the most convenient Numbers , with the Numbers between , to form a just Body . For those Bodies that exceed the number of a thousand , can never be drawn up conveniently upon all sorts of Ground ; and such as are under 500 will never be strong enough to resist at the same time the fury of the Enemies Horse . His Cavalry which should be always drawn up upon the Wings of the Infantry , must be drawn up in Squadrons , consisting of an hundred and twenty or thereabouts . But the best and those that are most serviceable to break the Battalions of the Enemy , are those that consist of 150 or 200 at most ; for if they exceed the number of 200 , they are not easily , nor conveniently drawn up by reason of the length of their Ranks , and the number of Horses . And thus it was that the late Duke de Schonberg Embattled his Forces at the Battel of Montesclar , which he won from the Marquess of Caracene . An Army which is Embattelled in small Divisions of Horse and Foot , is not so easily routed as that Army which is Embattelled in great Divisions . And small Divisions are much more ready than great : For besides seconding one another , and wheeling upon all occasions , they will likewise outfront an Army which is Embattled in great Divisions : The which is one of the greatest advantages that can be taken in the Embatteling of an Army . Small Divisions of Horse and Foot are also much readier for service , where you cannot Embattel them according to the Rules of Art by the nature of the place , or with Inclosures , or where the brevity of time will not give you leave ; besides , small Divisions are much more troublesome for an Enemy to deal withal , than an Army that is Embatteled in great Divisions . FINIS . OF FORTIFICATION . PART II. Of general Maxims or Rules observed in Fortifications . IN the handling of this Part I shall be plain , yet brief as possible . 1. General Maxim is , That all the parts of the Place , be of Cannon Proof Flanked , i. e. defended from another place , which place is not further distant , than the reach of a Musket-shot from the place to be flanked or defended . 2. That in all the Place , there may be no part of the Wall , or outside of the Rampire , that is not seen from the top to the bottom of the Mote or Ditch . 3. That the Bastions are large , and full of Earth , and not empty ; the bigger they are , they are the more to be esteemed , there being the more room to intrench in case of necessity : whose Gorge let be at least 35 fathoms , and their flank at least 18 fathoms . 4. That the Angle of the Bastion or flanked Angle , be not much above 90 , nor much less than 60 Degrees , for in the former it would be too very Obtuse , and open , at the Point , and in the latter it would be too slender , and so easily to be battered down by the Enemies Cannon . 5. That the Angle of the flank may be somewhat Obtuse ; neither is there any more virtue in a Right-Angle , than any other , for the defence of the Fort. 6. That the length of an extended Curtain be not above 135 Fathoms , nor the single above 80 ▪ Fathoms , nor be less than 40 Fathoms , to be well defended from two Flanks . 7. That the Rampier be so wide , that so a Parapet of Earth Cannon-proof may be erected thereon , and a Teraplane left , full wide for the Ordnance to be recoiled . 8. That the Mote or Ditch be at least 20 Fathoms broad , and as deep as possible . Now dry Motes in great Cities are to be preferred before others that are full of Water , to facilitate the Sallies , the relief and retreat of the Besieged ; and in small Fortifications the Motes full of Water are the most esteemable , because in such , Sallies are not necessary , and Supplies are very much to be feared . 9. That the Parts that are most remote from the Center , be commanded by those which are nearest to it . 10. That the Defence of a Face is much stronger , when the Angle made by the Face and Exterior Polygon is a great Angle ; this Maxim is so very essential , that it will try the goodness of any Fortification whatsoever . Thus I have described the Ten chiefest Maxims , necessary for good Fortifications . PLATE I. Of Cazemates . BEFORE I give you the Measures of my Cazemates , I shall explain all the parts of which they are compos'd . A is the winding pair of Stairs to descend from the Rampart into the first Cazemate , which is six foot high above the bottom of the Mote ; And this is that which I call the Great Cazemate . B is the Great Cazemate seen in part by the Besiegers when they are lodged upon the Level of their Paropets and Courtains . C. Is the Paropet of the Cazemate , 3 or 4 fathom thick to cover the Cannon and the Cannoneers from the sight of the Counter-Batteries of the Besiegers , when they have either raised or earthed them within the Counterscarps . D. Is a part of the great Cazemate wrought farther in , always covered and defended by the Great Ear , and flanked Angle of the opposite Bastion . E. Is its Paropet or Breastwork 3 or 4 fathoms thick . F. Is the Magazine for Powder , Bullets and other Ammunition belonging to the Cazemate , it must be cover'd and hollow'd inward , into the solid substance of the Bastion . G. Is the pair of Stairs into the second Cazemate . H. Is the second Cazemate that lies out of sight , as being about two thirds of it , not to be seen by the Enemy , though they should come to be lodged upon the Counterscarps themselves . I. Is the Paropet of the blind Cazemate , 2 or 3 fathom thick . K. Is its Magazine , made like the Magazine belonging to the former . L. Is the third Cazemate not seen , and raised even with the Platform of the Bastion . Upon this may all sorts of Artillery be planted , to shoot as well above the Paropets , as through the Holes that are cut through the thickness of the Paropet , which is from 2 to 3 fathoms . M. The Draught of a Platform for the planting of Cannon , called a Cavalier with its peculiar Magazine . The Structure or Manner of making the Cazemates , according to M. Mallet : I shall not here go about to entangle my self in a vain Dispute with those that would have the word Cazemate to be derived from the Spanish words Caze and Mata , as if we should say , A House of Murder ; And therefore without more ado , I come to shew you how my own are made . Suppose the Bastions to be drawn out in white lines , that the Scale be made full the length of one of the sides of the Polygon ; and that it be divided into as many equal Parts as it contains fathoms , as has been explained . Then extend the Defence of the Bastion AB , from 6 or 7 fathoms at most , from B to C , from the Point C draw CD parallel to the flank BE , then divide the flank BE into two equal parts , at the Point F to draw from the Point G , which is the middle of the opposite Front AH the Line GF , to the inside of the Bastion , observing where it cuts CD , as in I , purposely to carry on one fathom from I to L , afterwards draw the Line MLN parallel to FI , the length of which from M to N , must be 11 fathom : That done , make NO parallel to the flank BF , the length of which from N to O must be 4 fathom . Lastly , make OP parallel to FI , and then all the void space BMNOPC shall be the extent of the Cazemates , as well of the large Cazemates , as those which are more private . To make the Shoulder or Ear of the Bastion , draw upon the Line of Defence PS 6 fathom from E to I , and upon FG 6 fathom ; also from F to V and then joining V and T together , you have the whole Shoulder or Ear FVTE which must be all one solid piece . For the Paropet of the first Cazemate , you must allow within side one Toise of heighth from 3 to 4 in thickness , with 8 firing Places for the planting of so many great Guns , observing that the Paropets of the Cazemates , more especially all that which is next to the Gorge , and lies always hid from the Besiegers , do not require a length and thickness so precise . A Ravelin is a Bulk of Earth almost like a Bulwark , cut off lying beyond the Ditch for the covering of the Courtain , Bridge or Gate , and is surrounded with Water , and separated from the Fortification by the breadth of the whole Ditch ; it is raised but a little heighth above the level of the Ground ; towards the Enemy 't is built with a Rampier and Breast-work , but lies open towards the Fortification . PLATE II. The Raising of Cittadels with five Bastions , which are built upon the Walls of Cities . WHEN Cities are well peopled , and that the nature of the Ground will suffer it , 't is usual to lay the Cittadels towards the open Field , to prevent the ruining of the Buildings of the place ; so then after you have agreed upon the number of Bastions , as here for Example upon five to make a Pentagon . Divide one Courtain of the City AB , into 4 equal parts , of which AC comprehends three . This Overture being designed at the Point of the Bastion D , draw the Circumference EFHGF that you may have the five sides of the Polygon EIIHHGGF and FE putting the Point E directly where the Circumference cuts the Center-Line of the place , which passes through the Point D. This will produce two Bastions on the City side , and three towards the open Field . Plate II. OBSERVATION . Remember that you are always to throw down the Defences of the City of the City side , to the end that if the Inhabitants should happen to revolt , or the Enemy to become Masters of it , they may not be able to make any advantage of their own Fortifications , especially the flanks L and M , which must be ruin'd , continuing their Faces in a Right Line , and sloping down the Ramparts to the Mote of the Cittadel , to the end she may be able to command the whole City . Observe moreover , That there may be a great space between the Mote of the Cittadel , and the Houses of the City ; for this space is of great importance to prevent any designs which the Citizens may have upon the Citadel , as not able to approach undiscovered , or without entrenching themselves . PLATE III. Of Irregular Fortification . SINCE most Cities are of an irregular Figure , 't is evident , what great use , or rather necessity , there is of this part . I shall comprehend all the matter briefly , but plainly in the following Heads . First , Such Figures as have not their Sides and Angles equal to one another , are called Irregular . Now forasmuch as the Forms of Towns are so various and subject to so many Cases , their Fortification cannot be comprehended under certain Rules , neither can the Principles of Regular Fortification be exactly observed here ; It is therefore requisite that the Engineer make a Map or Draught of the whole , with all the Ways , Passages , Rivers , Pools , Enclosures , and all other matters fit to be known , and then consider what Designs and Works he shall think most fit and proper for the place . To this end let him know , 1. That the same Laws and Maxims for Regular Fortifications , stand and be in force , as for the Irregular ; and that the nearer an Irregular Figure comes to a Regular , the stronger and better it is . 2. That none of the inward Angles of his Figure be less than 90 degrees ; if less , then they must be changed , by making the Point , the outward Point of a Bastion . 3. That the Angles of the Bastion be not less than 60 degrees . 4. That the Line of Defence , or side of an Irregular Figure , must not be more than Musquet-shot . 5. The Sides of an Irregular Figure , which is too long for two Bastions , and too short for three , may be fortified with two great Bulwarks . 6. When the side is above 70 Rod , there may be a Ravelin erected between the two Bulwarks , or a flat Bulwark built between . 7. When an Angle of the Figure is between 80 or 90 degrees , it ought to be fortified with a Horn-work . 8. All the differences between Regular and Irregular Fortifications , consists in the rectifying the Sides that are too short or too long , and altering the Angles that are too little , by cutting off from the length , what is too much , or adding to it , what is necessary , to make them in their just and true proportions , as in the Regular . More Rules might be given , but there being so much variety in this sort of Fortifications , the Engineer must practise by himself , by drawing several Plats of Irregular Places , and fortifie them . And he should also peruse all the Books he can get of this Subject , as Marolos , Fritach , Dogen , Dilichius , Travax de Mars , &c. where he will find variety of Examples which will help to inform his Fancy , and rectifie his Judgment . For the Raising the Ramparts , Paropets and other Works , you must observe the same Rules , and proceed in the same Method as in Regular , and no otherwise . A. Is a Regular Bastion , and here I shall give one Rule to find the Capital Line in all irregular Angles , viz. At the end of each Courtain , as a● e d , cross an Arch at c and f. and draw the line c a , which shall be the Capital Line , which may be about 243 Feet , a little more or less , and the Gorges may be one hundred forty five or 150 , Feet , or thereabouts . B. Is a double Bastion , that is , upon the Plane of the great Bastion , another Bastion is built upon it higher : This hath the use of a Cavalier , and overlooks the Campagne ; there may be about 12 or 18 feet left between the Paropet of the lower Bastion , and the foot of the higher Bastion . C. Is a Bastion composed , that is , when the two interior Polygons are much unequal , then the Gorges will be unequal . D. Is a Bastion deformed , that is , if one of the interior Polygons be so short that it can have no Demigorge . E. Is a Plat Bastion , that is , if the distance from the Points of the interior Polygon be double to the usual length . F. Is a forked Bastion , cut off with a Tenaile , that is , if the Angle of the Figure be less than 90 degrees ; and because of Water , or some other Accident , it cannot be changed , then you may cut off the Angle , and joyn it with a Tenaile . G. Is a Bastion cut off , that is , separated from the Rampire , so that its Gorges are in a Right Line with the two Points of the flanks HF. H. Is a Demi-Bastion , that is , such as have their Gorge and Capital equal , and its flank half of the Gorge . I. Is a Platform upon an inward Angle , for the placing of great Guns to scour the Ditch . L. Is a Mount upon Piles for a Corps du Guard , with a Paropet , like that of the Outworks , Cannon-proof , necessary to hinder the Vnder surprises when the Mote is frozen . M. Is an indented Line , often used upon the Bank af the Counterscarp , or upon a River . N. Is a Counter-Guard , or Demi-Bastion , built in some watry place before the main Bastion . O. Is a Scillen , or a Tenail with a Breast-work placed in the Mote , called also a Counterguard . Plate IV. For the Constitution and Ground-lines of a Fortification , some things ought to be known or given ; The things here , said to be given , are those Data's , which a skilful or experienced Engenier knows to agree best with the Rules or Maxims before mentioned ; and from these Data's , once ordered , the rest of the Parts , in proportion , follow sure and determined , according to the Reason of things given ; for which use the Two following Tables are made , by which may be laid down any Fortification required : The proportion of the Lines , serving for any form , the quantity only for the Royal ; the Numbers are Rhynland Rods , and Centesmes of a Rod of 12 Feet . First Table for the Lines .   Semidiameter . Pol gon Inter. Gorge . Capital Flank . Second Flank . Courtin Face . IV 42 76 60 57 12 24 15 83 7 74 8 94 36 00 24 00 V 52 34 61 54 12 77 17 33 9 09 13 10 36 00 24 00 VI 62 39 62 39 13 19 18 71 10 07 14 02 36 00 24 00 VII 72 68 63 07 13 53 20 03 10 83 13 89 36 00 24 00 VIII 83 15 63 64 13 82 21 29 11 44 13 27 36 00 24 00 IX 83 70 64 10 14 05 22 99 11 61 12 41 36 00 24 00 X 103 38 63 89 13 94 24 07 12 00 12 41 36 00 24 00 XI 114 14 64 33 14 16 24 49 12 00 14 02 36 00 24 00 XII 124 77 64 39 14 29 24 85 12 00 15 22 36 00 24 00 Second Table for the Lines .   Semediameter . Polygon inter Gorge . Capital Flank . Second Flank . Courtin Face . IV 38 4 53 94 8 97 20 01 8 00 06 14 36 00 24 00 V 48 8 56 53 10 26 21 03 9 00 10 58 36 00 24 00 VI 59 19 58 19 11 8 22 15 10 00 11 86 36 00 24 00 VII 68 47 59 4● 11 71 23 31 11 00 12 03 36 00 24 00 VIII 78 60 60 31 12 16 24 48 12 00 11 67 36 00 24 00 IX 90 3● 61 77 12 89 24 64 12 00 12 95 36 00 24 00 X 101 84 62 94 13 47 24 66 12 00 13 90 36 00 24 00 XI 113 38 63 90 13 95 24 76 12 00 14 63 36 00 24 00 X●I 124 77 64 59 14 29 24 85 12 00 15 22 36 00 24 00 For the Angles first Table .   Angle of the Centre . Angle of the Figure . Angle of the Bulwark . Angle C F A Angle A C F IV 90     98     65     12   30 77   30 V 72     108     72     17   00 73     VI 60     120     80     20   00 70     VII 51 25 43 128 34 17 84 17 03 22 8 34 67 51 26 VIII 45     135     87   30 23 45   66 15   IX 40     140     90   00 25     65     X 36     144     90   00 27     63     XI 32 13 38 147 16 22 90   00 28 18 11 61 12 11 XII 30     150     90   00 30     60     For the Angles second Table .   Angle of the Centre . Angle of the Figure . Angle of the Bulwark . Angle C F A Angle A C F IV 90   00 90     60     15     75   00 V 72   00 108     69     19   30 70   30 VI 60   00 120     75     22   30 67   30 VII 51 25 43 128 34 17 79 17 09 24 38 34 65 21 26 VIII 45   00 135     82 30   26   15 63   45 IX 40   00 140     85     27   30 62   30 X 36   00 144     87     28   30 61   30 XI 32 43 38 147 16 22 88 38 11 29 19 05 60 40 55 XII 30     150     90     30 00 00 60 00 00 How to Delineat any Fort , according to the Proportions in these Tables . 1. To make a Square Figure , a Pentagon , Hexagon , Heptagon , &c. Having no Scale or Sector , then you may make a Scale large or small , as you design to make your Polygon ; dividing it into ten equal Parts , and every 10 th . into ten , then the Scale will be divided into 100 equal parts , then supposing each part subdivided into 10 , so the whole Scale will be 1000. Plate 4. Fig. 1. 2. To delineat a great Royal , according to the proportions in the first Table , take out of that Table the Semidiameter , or Radius , of that Polygon , which you intend to draw ; ( for Example , an Hexagon ; ) which is in the Table , 62. 39. that is , 62 Rods , 3 Foot , and 9 tentbs of a Foot , or 62 Rods , and 39 Centesmes of a Rod , which take off from the Scale , and de●cribe a Circle , as 1 , 2 , 3 , 4 ▪ 5 , 6. as in Fig. 2. Plate the 4 th . 3. Take off the Scale the length of the interior Polygon , 62. 39. or side of the Figure , which the Table shews that distance , apply it to the Circumference , 4 , 5 , 6 , 7 , 8 or 9 times , as the Polygon is that you intend to draw , which is 6 times in the Hexagon ; draw the blind lines from the Centre , and through the several Divisions 1 , 2 , 3 , 4 , 5 , 6 , and Lines from 1 to 2 , and from 2 to 3 , and from 3 to 4 , and from 4 to 5 , and from 5 to 6. 4 Take off from the Scale , the Capital Line , 18. 73. as in the Table , and set it off at all the Angles of the Ground-plot , viz , from 1 to 2 , and from 2 to 3 , &c. 5. Take the length of the Gorge , 13. 79. from the Table upon your Scale , and set it off from 1 to 7 , and from 6 to 7 ; and on the two points 7 and 7 , raise perpendicular Lines , as 7 , 8 , and 7 , 8. 6 Take off from the Table , the length of the Flank , viz. 10. 07. upon your Scale , and set it off from 7 to 8. 7. Draw the Face from the uppermost part of the Capital Line d. to the uttermost part of the Flank 8. and so for the rest of the Lines , they are easily set off , and transferree from these , and so the Draught is finished . Thus you may by these Tables , with a Scale of equal parts , delineate any regular Figure , two several ways , according to the first or second Table , and by the Rule of Three ; these Tables may serve for any Proportions . But these Data's may be varied without prejudice to the Maxims of Fortification , and the Constitution of the Ground-lines will be various , according to the Experience and Opinions of several Engeniers : Therefore I shall shew the Constitution , and making the principal Ground lines of any Fortification , in several ways , use by other more famous and modern Authors . And First , of the Dutch or German ways , who , although they have filled the World full of Books , of several ways of Fortification , yet Maralois , Fritach , Goldman , and Dogen , all agree , to make the Courtain 36 Perches , or 432 Rhinland feet ; the Face 24 Perches , or 288 of the aforesaid Feet , so that the proportion of the Curtain , to the Face , is as 3 to 2. the Angle forming the Flank , is always 40 Degrees ; the Angle of the Bulwark is half the Angle of the Figure , increased with 15 Degrees , Goldman , Marolois , and Fritach , agree in the Angle of the Bulwark ; but Dogen makes the Angle of the Bulwark , equal to 4 of the Angle of the Figure ; so that all the Data's are very near the same , with those the Author hath laid down before . For English Authors , I shall only mention Mr. Norwood , who in his Maxims differs very little from our Author ; the Duich Fortification being then most used . And Sir Jonas Moor , who was an able Mathematician , and well experienc'd in this Art ; after he had shewed the several ways of all Modern Engeniers , sayeth , That the interiour Polygon is most agreeable to Practice , being 1000. to take 333 Feet , for the Capital 200 , for the Gorge and Flank , and 600 for the Courtaine , so that he agrees with Manassen Mallet , Author of Travax de Mars ; and , for a general Rule , take , saith he , 1 / ● of the interior Polygon , for the Capital 1 / ● of it , for the Gorge and Flank , where there is no second Flank , and where the Flank and Capital stand at Right Angles . The Emperor , Ferdinand III. sets down ( as Schotus that learned Jesuite sayth ) an Universal way to lay down the Lines of any Fort , viz to divide the interiour Polygon into 22 parts ; of these , take 5 for the Gorge , 8 for the Capital , and 4 for the Flank ; or supposing the Polygon to be divided into 1000 , the Capital is 363 , the Gorge 227 , the Flank 181 , this proportion is good , and for such as are not well skilled in Trigonometry , may very well be used . Of the Italian Fortifications . First , of Signior Pietro Sardi , who makes the interior Polygon 800 Venetian Feet , his Gorges and Flanks 150 , and determines the Face of the Bastion , by the Line of Defence , razing which in a Square , or Pentagon , falls upon the 10 th . part of the Courtain ; in a Hexagon , on the 4 th . part ; in a Heptagon ; Octagon , ●Enneagon , on the 3 d. part , in all above on the half , to lay this down : suppose an Hexagon , whose interior Polygon is 1000 , then 187 will be the proportion for the Gorges and Flanks , which prick off , from 4 to 7 , and from 5 to 7 , and raising a Perpendicular at 7 , set off the same distance , from 7 to 8 , for the Flanks ; then for the Face a. d. divide the Courtain 7 , 7 , into 4 parts , and set off 1 / ● from 7 to e. then lay a Ruler from e , to b , and draw a , b , for the Face ; but had it been Square or Pentagon , then 7 c. had been 1 / 10 of the Courtain , if it had been an Heptagon , Octagon , Enneagon , then 7 , e , had been 1 / ● of the Courtain , if above 1 / ● from the opposite Flank 2. Tensini , in small Forts above the Pentagon makes the Gorge and Flank equal , and ●0th a 7 th . part of the interior Polygon , and ●e Face in all Figures one 3 d. of the said ●olygon . To draw this : Suppose a Hexagon whose interior Polygon 5 , 6. is divided into ●000 . the Gorge and Flank will be as in the ●able 143. the 7 th . part , which set off from ● to 7. and from 6 to 7. and raising 7 , 8. at Right Angles , set the same distance from 7 to 8. then take 1 / 3 part of p. p. and setting one ●oot of the Compasses in 8. cross the Capital Line in d. and draw 8. d. which do to every Bastion , till all be finished . Of the French Fortifications . The chief of these are M. de la Mont , and Manasson Mallet , both these divide the interior Polygon into 5 parts , and take one for the Gorge , and also divide the interior Polygon into 3 parts , and take one for the Capital Line ; only De la Mont takes ●4 of the Courtain for the Flank , and M. Mallet makes the Angle of the Flank and Courtain to be 98 degrees , ( leaving no second Flank , ) and so lays the Courtain more open for use , and yet not so much as to subject it to ruine of the Besiegers . I must not forget D. Ville , and Furneirs , who divide the interior Polygon into 6 parts , one for the Demigorge and Flank , both being equal , and at Right Angles , if the inferior Polygon be 1000 , the Gorges and Flanks will be 166. By this Table following may be laid down any Fortification , according to these Authors .   Capital Gorge Flank Courtain Fritach . 400 220 200 560 Dogen . 351 167 200 666 Emperor . 363 227 181 546 P. Sardi .   187 187 626 Tensini .   143 143 714 G. Maria.   125 138 750 De la mont . 333 200 150 600 Manesson . 333 200 200 600 Fren. Conquest .   200 240 600 Furnoir , &c. 228 166 166 666 In this Table you have the Proportions for the Capital , Gorge , Flank , and Courtain , supposing the length of the interior Polygon 1000 English Feet , according to these several . Authors But if the interior Polygon be less than a 1000 , the Proportion in this and the former Tables may be reduced to any other Polygon required , by multiplying the length given by any of those Numbers , and cutting of the 3 last places . Example . A Polygon given is 750 , what shall be the length of the Capital , Gorge , Flank , and Courtain , according to any of the aforesaid Authors . For Example , to De la Mont. multiply 750 by 333 , gives 249 Feet for the Capital , so for the Gorge , then multiply 750 by 200. and there is 150 , for the Gorge , then multiply 750 by 150 , and there will be 112 for the Flank , and after the same manner 450 for the Courtain . And thus you may proportion any of these Authors to any interior Polygon , which must not exceed 800 , nor be less than 500 , for if less , your Fort will be fit only for Cittadels , or Field works , but if more than 800 Foot , too big for a Fort-Royal , and must be well stored with great Guns . I shall mention only Count Pagan's way which was once much approved of here in England ; he was indeed a great Mathematician , and well experienced by many Campagnes and Seiges , he works by the exterior Polygon , and his chief Proportions are in the following Table . Exterior Polygon . the half . 1200 1080 1000 960 820 720 600   600 540 500 480 410 360 300 Length of the Courtain . 425 364 334 304 375 234 164   212 1● 182 167 152 137 1● 117 82 Length of the Perpendicular . 180 180 180 180 150 144 138 Length of ●he Face . 364 336 308 288 242 222 200 Complem . of the Line of Defence 222 192   162 162 162 90 To draw a Fort after this way , draw the exterior Polygon C. D. divide it into two equal parts at E. which suppose 600 each , and raise the Perpendicular E. L. upon which set off the length of the Perpendicular in the Table , viz. 180. which will terminate in the Point F. then from either Point D. and C. draw Lines to F. viz. C. F. and D. F. then look in the Table for the length of the Face , viz. 364. which set off from C. to I. and from D. to K. then ( measure out the length of the Courtain , viz. 212 1● from L. to H. and G. or else ) take out the Compl. of the Line of Defence , viz. 217. and set it off from F. to H. and from F. to I. then from H. and I. and from G. K. draw the Flank . Thus following the same Method , from each Base or exterior Polygon , you may draw any Fortification ; but to fortifie a Square , the Proportions must be altered thus . Base or exterior Polygon 600 550 640 520 Perpendicular 161 146 173 137 Face 364 326 384 296 Compl 222 211 ½ 243 ½ 211 ½ And may be drawn by the forementioned Directions . Having now set down the several ways for laying down the Fundamental Ground-line , from the most considerable Engeniers of this Age. I shall here show how to draw out Mechanically , in the Field , any Regular or Irregular Fortification , either from the Exterior or Interior Polygon , according to Count Pagan . And first , from a Pentagon to a straight Line from the exterior Polygon . The Base , or exterior Polygon a. c. given , divide as in Plate the 4 th . into equal parts in the Point b. from the Point b. raise the Perpendicular e. b. of a sufficient length , then divide a. b. the half Base into 3. 6. or 9. equal parts , and take ⅓ thereof for the Perpendicular b. d. so is d. a Point , through which draw the Line a. d. and d. c. which done , divide the Perpendicular b. d. into 8 equal parts , and make d. h. and d. f. equal to 9 of those parts , then from the points h. and f. let fall the Perpendiculars h. g. and f. p. till they cut the Lines a. f. and c. h. in the Points g. and p. then join the Points a. g. h. and f. p. c. and so you have a. g. and c. p. for the two Faces g. h. and f. p. for the two Flanks , and h. f. for the Courtain of the Fortification , Plate 4. Fig. 3. From a Square to a Pentagon . The Method of this is the same as the former , only instead of dividing the half Base a. c. into 3. 6. or 9. and taking the ⅓ thereof for the Perpendicular , you must here divide the half Base a. c. into 15 or 30 lengths , and set off 4 or 8 for the Perpendicular d. b. and instead of dividing the Perpendicular d. b. into 8. you are to divide it into 5 , and of these parts , you are to set off 7 upon both the Lines d. f. and d. h. and this is all the difference . Or note , that having raised your Perpendicular , take any measure whatsoever , be it Pole , Staff , Line or Stake , and mark out 3. 6 , 9. 12. 15. 18. 21. &c. upon the Line a. c. to the Point l. upon which Point erect a Perpendicular l. k. equal to ⅓ of a. l. so is k. a visual Point , through which is to be drawn the Line a. f. cutting the Perpendicular c. e. in the Point d. and e. a visial Point , through which is to be drawn the Line c. h. then proceed as before directed for the Pentagon ; but for the Square instead of marking out 3 lengths upon the half Base , you must here mark out 15 for the Line a. l. and instead of ⅓ you must allow 4 of those Parts for the Perpendicular k. l. To do this by the interior Polygon , and that from the Square and Pentagon , to a Right Line , let the interior Polygon given be A. B. which divide into 12 parts , and make d. e. 1 / 12 and a. i. 2 / 12 for a Square , and a. k. ●●12 for a Pentagon , p. k. l. and p. i. g. right Angles , and proceed as directed before , Plate the 4 th . Fig. 4. Note also that the exterior Polygon should be about 1150 Feet , never less than 1024 , nor more than 1280 , that so the Line of Defence , may not be too short , nor longer than Musquet-shot , and that the Angle of the Bastion be not less than 60 degrees ; but where either the Scituation of the place , or the old Walls or Rampiers of a Town will not admit any such equality either of Bases or Angles , then the Engenier may either open or sharpen his Angles , or lengthen or shorten his Lines as necessity shall require . Plate the 5th . Here note that the Encampment is figured with Paces , and the Profiles with Feet . OF GUNNERY . Plates IV. V. VI. VII . VIII . Of the Names of the Principal Members of a Piece of ORDNANCE . 1. Defin. A CANNON is a long round Body , either of Brass or Iron , formed and made hollow by Art , and proportion , to offend afar off , with a Ball of Iron , Stone , or any artificial Substance , charged with Gun-Powder in its charged Cylinder , which being fired , in an instant performs its desired Effect . This Machine was invented by an Englishman , and first put in practice by the Venetians against the Genoueses at Chiezza , Anno 1376. 2. The superficies of the Metal , is the outside , round about the Piece . 3. The Body is the substance of the whole Mass of Metal . 4. The Chase is the concavity of the Piece , in which they put the Charge . 5. The Muzzle is the extremity of the Chase by which you load and unload the Piece . 6. The Calibre is the Diameter of the Muzzel or Mouth . 7. The Touch-hole is that little Vent , which passeth from the Convex Superficies , to the very Chamber of the Piece , made to give fire to the Powder within ; that which encloseth the extremity of the Chase about the Touch-hole , is called the Breech or Covl . 8. The Cascabel is the Pammel at the Breech or Coyl . The Tunnions are pieces of Mettal fixed unto the exterior superficies of the Gun , on which he moves in the Carriage . The Body of the Piece , is that which is comprehended betwixt the Center of the Tunnions and the Cascable . The vacant Cylinder is comprehended betwixt the Center of the Tunnions and the Muzzel . The Frees or Muzzel-Ring , is that thick Cornish which incompasseth the Convex Superficies , or the Piece . The Dispart Line of the Piece , is the difference betwixt the Semi-diameter of the Muzzel and Base Ring . The Vent of the Piece is the difference betwixt the Diameter of the Shot , and the Mouth of the Piece . The Chamber , or charged Cylinder , is that part of the Chase towards the Touch-hole equally large , nor narrower in one place than in another , and doth contain the Powder and Ball. How to know the different Fortification of a Piece of Ordnance . In fortifying any Piece of Ordnance , there are three degrees observed , as first , Legitimate Pieces , which are those that are ordinarily fortified ; secondly , Bastard Pieces , Which are such whose Fortification is lessened ; thirdly , Double fortified Pieces , or extraordinary Pieces . The Fortification of any Piece of Ordnance is accounted by the thickness of the Metal at the Touch-hole , Trunnions , and at the Muzzel , in proportion to the Diameter of the Bo●e . The Legitimate Pieces , or the ordinary fortified Cannons have 7 / 8 at the Touch-hole , 5 / 8 at the Trunnions , and 3 / 8 at the Muzzel , of the thickness of the Bore , in thickness of the Metal . Bastard Cannons or lessened Cannons have ¾ at their Touch-hole , or 12 / 105 and 9 / 16 at their Trunnions , and at their Muzzel : The Double fortified Cannons have full one Diameter of the Bore in thickness of the Metal at the Touch-hole , and 11 / 16 at the Trunnions , and 7 / 16 at their Muzzel . Now all double fortified Culverins , &c. are 1 1 / 8 at the Touch-hole , 15 / 16 at the Trunnions , and 9 / 16 at the Muzzel , and the Ordinary fortified Culverins , are fortified every way as double fortified Cannons , and lessened Culverins as Ordinary Cannons in all respect . How to know how much Powder is fit for Proof , and what for Service for any Piece of Ordnance . For Cannon take ⅘ of the weight of their Iron Bullet of good Corn Powder for Proof , and for Service ½ the weight of the Iron Bullet is sufficient , especially for Iron Ordnance , which will not endure so much Pow●●r , as Brass ones will receive by ¼ in weight . For Culverins allow the whole weight of the Shot for Proof , and ⅔ for Service . For Sakers and Falcons take ⅘ of the weight of the Shot , and for lesser Pieces the whole Weight may be used in Service , until they grow hot ; but then there must be some abatement made at discretion , and take 113 of the Weight of their Iron Bullet for Proof . To know what Bullet is fit to be used in any Piece of Ordnance . The Bullet must be somewhat less than the Bore of the Gun , that so it may have vent in the Discharge : so Authors affirm , that ¼ of an Inch less than the Bore , will serve all Ordnance ; but this vent is too much for a Falcon , &c. and too little for a Cannon ; therefore I approve them not , but commend Mr. Phillips's proportion ( set down in his Mathematical Manual , page 165 ) to your Use , which is to divide the Bore of the Gun into 20 equal parts , and let the Diameter of the Bullet be 19 / 30 thereof . Of the Qualification of an able Gunner , and necessary Operations before Shooting , and in Shooting . A Gunner ought to be a Man of Courage , Experience , and Vigilant ; he ought to have good skill in Arithmetick , to know the extraction of the Roots , &c. He ought to have skill in Geometry , to take heights , distances , &c. to know the Divisions and use of his Circle , Quadrant , and Quadret ; to know how to level and to lay Platforms , and to raise Batteries . He must know the Names of all sorts of Ordnance , their Weight , the Height of the Bore , the height and weight of their Shot , the length and breadth of their Ladles , how much Powder to use for Proof and Action ; the Shots Level , and the Shots Random ; He must know the Names of all the Members of a Piece of Ordnance ; he must also know the length , thickness and breadth of all manner of Carriages , and must know all the parts thereof , viz. the Cheeks or Sides , the Axtree , Spokes , Nave , Hoops , Transomes , Bolts , Plates , Drawing-Hooks , the Clout , the Hole for the Linspin , the Shafts , the Thill and Thill-Bolt , the Forelock and Forelock Keys , Cap-squares , the Forelock pins and Chain , the Pintle and Bolt-hole , Fellows , Nails , Fellow-bars , Stirrups , the Ruts of the Wheel , Dowledges , Bed , Conies , Leveres , Handscrews , &c. He must also know how to make his Ladles , Spunges , Cartridges , whether of Paper , Vellum , or Canvass , and to have by him Farmeres of all sorts , Sheep-skins undrest to make Spunges , Powder , Shot , Needles , Thread , Paste and Starch , Marlin , Twine , Nails , Handspikes , Crows of Iron , Granado-shells , and Materials for Composition , Fasces , Budg-Barrels , Cannon-Baskets , &c. These being general things he is to know , and at all times to have ready by him , and he is more particularly to know these following parts of his Art , as , How to Tertiate , Quadrate , and to Dispart a Piece of Ordnance . 1. To Tertiate a Piece , is to find whether it hath its due thickness at the Trunnions , Touch hole and Neck , and if the Trunnions , Touch-hole and Neck are in its due order , and the Chase streight . 2. To Quadrate a Piece mounted , is to see whether it be directly placed , and equally poized in the Carriage ; which is known by finding in the Convex Superficies of the Base and Muzzel-Ring , the Point which is Perpendicular , over the Soul of the Piece , which may be found by the Gunners Instrument , called a Level ; an Instrument whose use is so vulgarly known , that it needeth not my Explanation . 3. To Dispart a Piece , is to fix , or elevate on the Convex-point of the Muzzel-Ring , a Mark as far distant from the Cylinder , or Soul of the Piece , as is the Point of the Base-Ring ; to the end , that the Visail-ray which passeth by these Marks , may be parallel to the Chase , Soul or Cylinder of the Piece . Now the Dispart , i. e. the difference of the Semidiameters of the Cornishes , may be by a pair of Calliper Compasses attained , which found , place on the top of the Cornish Ring , near the Muzzel , over the middle of the Inferior Cylinder . To know how far any Piece of Ordnance will shoot , &c. As to the several shootings in Artillery , Authors differ much in their Judgments and Opinions , but they all unanimously agree , that the Ball being shot forth , flies through the Air , with a Violent , Mixt and Natural Motion ; describing a Parabolical line , in whose beginning and ending , are lines sensibly streight , and in the middle curved ; In the beginuing the imprest force driving forward by the Fire , the natural gravity of the Ball doth describe a Right Line , called the Direct Line , or Ranges of the Balls Circuit . In the middle that force diminisheth , and the Natural Gravity prevaileth , so that it describeth a curved line , called the Balls middle Helical or Conical Arch ; In the end , the Natural Gravity overcoming the imprest violence , ( which becomes altogether weak and faint ) describes a new right line , called the Balls declining line , in which the Ball tends towards the Center of the Earth , as towards a Place natural unto all heavy bodies . See Figure 92. These motions are somewhat longer , according as the Piece is mounted from the Level unto the Angle of 45 deg . which is called the Vtmost Random . The Elevation of which , is regulated by the Gunner's Quadrant , the use of which Instrument is so generally known , and by so many Authors , fully explained , that I here crave leave to omit it . But take these for general Rules . 1. That a Shot at Right Angle , strikes more violent and furiously than at Oblique Angles ; therefore Gunners use when they are to batter down a Tower , Wall , or Earth-work , to shoot point blank at the object , Tire by Tire ; by discharging all the Pieces in Battery against the self same object , in the same instant , holding it for a Maxim , that ten Cannons discharged together , do far more Execution , than discharged one after another . Now at Oblique Angles they shoot either Cross-ways , or by rebounding . 2. That the speediest way to make a Breach in a Wall , &c. Is by shooting at the Object from two Batteries , which ruins far more speedily than by striking the Object with one Battery at Right Angles , although that one Battery hath as many Cannon as the other two hath . 3. That if you were to Batter a flank covered with an Orillion , ( which because you cannot possibly Batter it right forward ) you must therefore of necessity batter it obliquely , by way of Rebounding , thus : Chuse a fit place in the Courtain to be your object , on which you may play with your Battery obliquely , so that by a rebound the shot may leap into the flanks , holding for a Maxim , in this operation , That the Angles of Incidence and Reflection are equal . Of shooting in Mortar-Pieces . A Mortar-Piece is a short Piece , with which they shoot Bombs , Granado-shells , Stone-Balls &c. not by a Right Line , but from a Curved , from on high , so that it may fall where it should , be desired : Now this Mortar is placed in the Carriage , 〈…〉 Bombs are great hollow Balls of Iron or Brass , in which are put fine sifted Gunpowder , which by a Fuse , they proportion to them a due Fire , that so they may break assoon as they fall amongst the Enemies . These Fusees are small Trunks of Wood , Tin or Iron , filled with a prepared Composition for that purpose . Granadoes are of the same form with Bombs , only smaller , and are many times cast by hand , and are made of Iron , Brass , Glass or Earth . Now in order to the well shooting in those kind of Machines called Mortars , 't is requisite to observe these following Rules : as 1. That before you make a Shot at any place , you find the distance thereof from your Mortar . 2. That the Bombs or other Bodies that are to be shot , be of equal weight , otherwise the Shots will fail . 3. That the Carriage in breadth be always on a Level , and without any descent , that so it may not leap in discharging fail . 4. That the Powder with which the Mortar is loaded be always of the same force and weight . 5. That the charge of the Mortar , as well in Powder , as in Wadding , be always rammed in with blows equally heavy , and of equal number . 6. That the Wadds be always either of Wood or Tompeons , or else of Oakam , for the strongest drives it farthest . 7. That the Fusees be newly made , in those days that they are to be used , and that they be made of a Composition proportionable to the Range that the Shot shall make in the Air , so that the Bomb may break in the very moment it falls ; which Composition must be such , that though it fall in the Water , yet not to extinguish , but the Bomb there to break . Now before we proceed any farther , I think it necessary , to shew how to compose your Ingredients for your Fusee . To make Fuses for Bombs , &c. The Composition for . Bombs must be of a slow motion , that so time enough may be given to throw either Bombs , Granadoes , Fire-Balls , Thundring Barrels , &c. They are compounded of these Ingredients , thus : Take a pound of Gunpowder , 416 of Sulphur , 416 of Saltpeter , well beaten , dry and sifted separately , then mix it and make up your Fuse hereof . Or , Take Powder of Benjamin and small-Coles , all well beaten and mixed together with some Oil of Piter , and so fill the Fusee therewith . Now the use of Mortar-Pieces , being for the most part to shoot up at Random , therefore the Randoms of these Pieces is very necessary to be known . Therefore I have hereunto annexed a Table of Randoms for the twelve Points of the Quadrant , calculated by Diego Vffano Zutphen , and to be found in his Works , printed 1621. A Table of Randoms for Mortar-Pieces , to the twelve Points of the Gunners Quadrant , calculated by Diego Uffano Zutphen . 583 570 534 468 377 248 100 6 5 4 3 2 1 0 . . . . . . . ☉ 6 7 8 9 10 11 12 583 570 534 468 377 248 000 Now suppose the Mortar to be placed at ☉ , the Pricks in the middle line representeth the several Randoms , numbred with the Degrees of the Quadrant , forward and backward , unto which the several Randoms , are set ; so you see that the Mortar being levelled point blank , throweth the Bomb 100 Paces , if the Mortar be mounted one Point , it throws the Bomb 248 Paces , &c. until 't is monnted to the 6 th . Point , 583 Paces , which is the utmost Random . Now if the Mortar be mounted higher to 7 , 8 , 9. &c. Points , the Randoms decrease again , as before they did increase , as you see in the Table . But in th●se latter Randoms there lieth a great mistake , as shall be made appear . For if as they are distant from the sixth Point , you make them equal unto one another , then the Random of the 0 Point , or the Level Random , which is 100 Paces from the Mortar . Now it is contrary to all Art and Reason to think that if the Mortar be elevated to the 12 th . Point , i. e. bolt upright , it should shoot the Bomb 100 Paces from the Mortar ; no , it cannot be , but according to all Reason , the Bomb must fall down either on . or near the Mortar , and not 100 Paces distant , as is most erroniously conceived . The foregoing Rules and Precepts are necessary to be known by every Gunner , who intends to be serviceable to his Prince and Country . The Exercise of the Foot-Granadeer's , and Explanation , beginning with the Fire-Lock . OBSERVATION . OBserve that Granadeers standing in a Body with Musketeers , must make only the same Motions as they do , because they meddle not with their Granades , or Bayonets . The Facings are here omitted , being the same with the Musketeers . Granadeers take heed to Exercise your Fire-Locks . 1. JOyn your right hand to your Fire-locks : as in the Exercise of the Musket . 2. Poise your Fire-locks : as in the Musket . 3. Rest your Fire locks : as in the Musket . 4. Cock your Fire-locks , Guarding at the same time : as in the Musket . 5. Present : as in the Musket . 6. Fire : as in the Musket . 7. Recover your Arms : as in the Musket . 8. Handle your Slings : With both hands turn the Fire-lock , the lock outwards , holding it with your right hand before your body , the Thumb upwards , draw with your left hand your Sling quickly in an equal line , with your Fire-lock to the left side , the Thumb upwards , standing thus till the next Command . 9. Sling your Fire-locks : Bring your Sling with your left hand just above your right shoulder , at the same time bring your Fire-lock with your right hand under your left elbow , bring the Sling over your head , draw the Sling with your left hand in letting loose the right , that the Fire-lock hang upon your right shoulder , with the muzzel up , and the butt end downwards ; then let loose your left , and let it hang down as the right hand . 10. Handle your Matches : Bring both hands readily with half outstretched Arms before your Body , about the height of your shoulder , at the same time , take with your right hand , the lowest end of the march , your thumb under , and the two foremost Fingers above , then bring it over the back of your hand between your thumb and your two fore-fingers , then thrust out the left hand with the match quickly forwards , letting at the same time the right hand hang down upon the bag . 11. Handle your Granades : Keep your left hand as before , nimbly facing on the left foot to the right , at the same time lifting up the cover of the Granade Pouch with your right hand , take the Granade and bring it with an out stretched arm , in a straight line with your left hand , your thumb against the Fuse , standing in the same Posture . 12. Open your Fuse : Hold your left hand still , bringing the Granade to your mouth with your right , open the Fuse with your teeth , and thrust it nimbly from you to its former place . 13. Guard the Fuse with your Thumb . 14. Blow your Matches : Bring up the Match before your mouth , blow it off hard and quick , and thrust it at the same time to its former place . 15. Fire and Deliver your Granades : With the left hand meet the Granade a little downwards towards the right side , unconstrained , to which side your face and body must be a little turned , fire the Fuse , bringing back the right hand a little , with the Granade , deliver it with a stiff arm , stepping forward with the right foot equal with the left , bringing down the left hand with the match to the former place , letting the right hand hang down by the Pouch , so continuing till the next Command . 16. Return your Matches : Bring both your hands before your body , as in Explanation 10. Take the match , put it in its place , then let both hands hang down by your body . 17. Handle your Slings : Take hold of the midst of the Sling with your right hand , and with the left about a hands breadth , from the Fire lock below , lift up the Fire-lock with the left , so that the elbow comes through under the Fire-lock , lying on the arm and shoulder ; let go the left from the Sling , and take hold of your Fire-lock about a hands breadth above the lock , let the stock come to lie between the thumb and the two foremost fingers , your arms stretched with the butt ▪ end before you . 18. Poise your Fire-locks : With the right hand bring the Sling over your head , and with the left your Fire-lock , and with half stretched arms mount it , the barrel turned forwards , let go your right hand from the Sling , turn your Fire-lock with your left hand , that the lock come outwards , and at the same time put your right hand under the cock , the thumb upwards , then thrust the Fire-lock quickly from you , let go your left hand , and observe that your right hand be equal with your shoulder . 19. Cast about to Charge : Take the Fire lock with your left hand , a hands breadth from the lock , the thumb upwards , turn it about that the barrel come outwards and proceed , as in the musket . 20. Draw forth your Bayonets ? Take your Bayonet with your right hand , draw it , and with an out stretched arm bring it before you in a right line with your shoulder , holding the Bayonet , the thumb upwards , and the flat of the blade toward your body . 21. Screw your Bayonets in the Muzzels : Put your Bayonet in the barrel , turning about the guard towards you , that it may lie fast , and flat , take hold of the muzzel of your Fire-lock with your right hand , the thumb upwards , thrusting it with both arms nimbly from your body . 22. Rest your Bayonets : Mount your Bayonets with both hands , turning at the same time , without resting upon the left heel , to the right ; as you face let go your right hand , and bring it under the cock , turning the barrel towards your body , then fall back hand and foot , and keep the posture shewn in resting your Musket . 23. Charge your Bayonets : Bring your Bayonet nimbly up with both hands ; and bringing up of your right foot , in which bringing up , you bring your right hand under , so that the butt rest on your fingers , the the thumb outwards upon the but end , fall back with your right foot , charge your Bayonet breast high , in which charging the butt end lies in a full right hand , and the thumb upon it . 24. Cast about your Bayonets to the left side : Bring up your Fire-lock straight before you , with the bringing up your right Foot ; letting loose at the same time your right hand from the butt , and bring it under the cock , turn your Fire-lock with both hands , so that the barrel comes outwards , then do as in casting about the Musket . 25. Recover your Bayonets : Bring your Bayonet with both hands to your body , draw it out of the barrel , hold it out with a stretched arm as before 26. Put up your Bayonets : Put your Bayonet into the Scabbard , then take hold of your Fire-lock with your right hand by the muzzel , thrusting it from you , as hath been shewn . 27. Half cock your Fire-locks : Bring your Fire-lock with both hands mounted before your body , facing to the right upon the left heel , in which turning you let go your right hand , take hold of the cock with your right thumb and proceed , as in the Musket . 28. Blow your Pans : as with the Musket . 29. Handle your Prime●s : as in the Musket , only the muzzle held a little lower . 30. Prime : as with the Musket . 31. Shut your Pan : as with the Musket . 32. Cast about to Charge : as with the Musket . 33. Handle your Cartridges : as with the Musket 34. Open your Cartridges : Bringing the Cartridge to your mouth bite of the top and bring it again to its place , holding the Cartridge with the thumb upwards . 35. Charge with your Cartridges : Put it into the barrel , keeping your two foremost fingers on the barrel , till the next Command . 36. Draw forth your Scourer : as with the Musket . 37. Shorten them to an Inch : as with the Musket . 38. Ram down Powder and Ball : as with the Musket 39. Withdraw your Scourers : as with the Musket 40. Shorten them to a handful : as in the Musket . 41. Return your Scouerers : as with the Musket 42. Poise your Fire-locks : as with the Musket . 43. Shoulder your Fire-locks : as with the Musket 44. Rest your Fire-locks : as with the Musket . 45. Order your Fire-locks : as with the Musket . 46. Laydown your Fire lock : as with the Mus●et . 47. Quit your Fire lock : as with the Mus●et . 48. Handle your Fire lock : as with the Musket 49. Order your Fire-lock : as with the Musket 50 Rest your Fire lock : as with the Mus●et . 51. Club your Fire locks : Keep your Fire-lock f●rm in your left hand , bring up the right foot at the same time that the butt-end is upwards , and the muzzel downwards ; at once ta●ing hold of it with the right hand about a foot from the muzzel , that the right thumb come upwards , and the left downwards , then let loose the left hand , and ta●e hold again at the same time with a full left hand an inch from the muzzel , hold it with outstretched arms against the left shoulder , and bring it upon your shoulder , with the Lock upwards , quit your right hand nimbly and let it hang down by your side . 52. Rest your Firelock : Turn the ●ire-l●c● with your left hand inwards , and at the same time take hold with the right above the left , the thumb upwards , and the elbows in a streight line , bring the same nimbly with both hands before your body , then let loose your left hand , sin●ing the right hand and Fire-lock a little , and ta●ing it at the same time with the left hand turned , both the thumbs turned one against another , then loose your right hand , and turning the Fire-lock , bring the butt end down , and rest your Fire-loc● . 53. Shoulder your Fire-lock : First poise your Fire lock bringing up your right foot at the same time , then meeting it with your left , lay it on your shoulder . Take heed to make ready to give fire at three words of Command . 1. Make Ready : This is done as in the three first Explanations is shewn at large . 2. Present : This is done as in Explanation 4 and 5. 3. Fire : This is done as in Explanation 6. and 7. Take heed to make ready to Fire , and Deliver your Granades at three words of Command . 1. Make Ready : This is done as is shewn from Explanation 8. to 13. Inclusive . 2. Blow your Matches : This is done as in Explanation 14. 3. Fire , and Deliver your Granades : This is done as in Explanation 15. Take heed to make ready to use your Bayonets . 1. Make Ready : This is shewn as from Explanation 16. to 22. Inclusive . 2. Charge your Bayonets : This is done in Explanation 23. Take heed to make ready your Fire-locks again . Make ready your Fire-locks : This is done at large in this Exercise , from Explanation 24. to Explanation 27. Inclusive . FINIS .