A discourse of military discipline devided into three boockes, declaringe the partes and sufficiencie ordained in a private souldier, and in each officer; servinge in the infantery, till the election and office of the captaine generall; and the laste booke treatinge of fire-wourckes of rare executiones by sea and lande, as alsoe of firtifasions [sic]. Composed by Captaine Gerat Barry Irish.
Barry, Gerat.
THE THIRDE BATTELL.

NOwe to frame the thirde Battell of the 3166. men the Borgo∣nones and Valones gave in relation meaninge 1786. pikes, and 1380. musketes, firste take the propounded number of pikes, whiche is 1786. oute of whiche take the square roote, whiche yove shall finde to be 42. soe that 42. is the fronte and flanke of the battell, and 22. pikes, remaininge whiche shall serve to guarnishe the culou∣res.

Put in case that occasion requirethe that youre linenge shott is to be no more then 3. musketes in ranke, and say that 42. rankes of 3. musketes in eache ranke shall guarnishe the righte flanke of the bat∣tell of pikes, and juste so many more for the linenge of the leifte flan∣ke, whiche two linenges makethe 252. musketes, that don take 42. the fronte of the pikes, and ad therunto 6. the linenge shott of the two flankes, whiche two aditiones will make 48. To guarnishe the fronte of youre battell of pikes, say that the thirde division of shott is 48. ran∣kes of 3. musketes in eache ranke, and juste so many more rankes for the linenge shott of the rerewarde of the battell of pikes, observinge the self same order as dothe the thirde division of shott, meaninge 148. rankes, of 3. musketes in eache ranke, whiche two divisiones for the linenge shott of the fronte and rerewarde makethe 288 musketes, and soe the 4. sides of youre battell of pikes are proportionally lined every way, the foure linenges importheth 540. musketes.

That don substracte 540. musketes oute of the full number of shot whiche is 1380. and there shall remaine 840. musketes, whiche yove shall divide as time occasion or situation shall require: whiche nowe i suppose conveniente to be divided into twenty troupes to be divided on the two flankes of the battell of pikes to skirmishe where occasion shall require in single or double fiele, as the situation shall permitt, and the occasion shall require, at 42. musketes in eache troupe, soe Page  111 all youre shott and pikas are divided, as before declared; Advertisinge that the culoures shall marche in the center guarnished withe the 22 pikes, that did remaine in the division of the pikes, and by reason no shott did remaine oute of the divisiones of youre shott yove may take 12. shott oute of the laste division of shott to guarnishe the culou∣res, soe youre three battelles are framed, and by the figure folowinge youe see howe oute of there divisiones they fall into battell. Greate consideration and curiosity is to by vnderstoode for the severall divi∣siones of shott, as tyme and occasion shall require, alwayes conside∣ringe the situation and disposition of the grounde, as also of the seve∣rall occasiones and advantadges in skirnmishenge withe greate or smale troupes withe single or double file and in whate distance (when, the enemy dothe abounde on horse, and when nott) and also in pre∣ventinge in due time the orderes and stratageames of the enemy.

Let none by ingnorante that when in the divisiones of pikes and shott theire resteth not inough to guarnish the culoures, of force the necessary shott and pikes required for that purpose are to be cutt of the winges or troupes of the flankes, and are to be rekoned where theire firste divisiones did fall, as declared in the table of the battelles for if youe reken them in the battell and where their firste division did fall, it can not confronte with the divisiones, so observe still the rule of the divisiones as set downe and declared in breefe in the table of the battelles, which is the righte way and generall rule. This table is neowlie invented for that purpose, where presentlie withoute any paines or trouble youe shall finde the reasones, and proportion of all the divisiones of the batteles in breefe (as well of the shott as of the pikes) as also whate remaineth oute of the divisiones, whiche table is of rare importance for the breefe explicatinge and orderinge of all the divisiones of battelles. And besides for cause that many auctores do leaue the same in obscuritie to avoide prolixity, as also to disperte the ingeniouse understandinge of those of perfection in this arte.

Page  112Table of the thirde battell.
Pikes contained in the boddy of the battell.1764 pikes.
Pikes remaininge to guarnish the culors.022 pikes.
Lininge shott of the righte flanke.126 musketes.
Lininge shott of the leifte flanck.126 musketes.
Lininge shott of the fronte of the battell144 musketes.
Lininge shott of the fronte of the rergarde144 musketes.
Musketes divided into 20. troupes on the flankes of the battell.828 musketes.
Musketes deducted to guarnish the culours.012 musketes.
 3166 men.

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[illustration]
SQUARE OF MEN.

Fronte of the seconde Battell.

Fronte of the firste Battell.

Page  [unnumbered]Fronte of the thirde Battell.

Page  [unnumbered]

Page  113〈 math 〉

A Squadron square of grounde of 1116. souldieres of 〈 math 〉 the whiche 576. are pikes, and 540. musketes, to re∣duce them into aperfecte squadron square of grounde firste take the propounded number of pikes whi∣che is 576. whiche youe shall multiply by 3. the producte wherof will be 1728 this producte divide by 7. and the number in the quotient will by 246. oute of this 246. take the square roote whiche will by 15. and say that youe foun∣de oute the flanke of the battell of pikes, nowe to finde oute the fronte of the battell, take the propounded num∣ber of pikes whiche was 576. whiche youe shall divide by 15. the flanke, the quotiente wherof will by 38. whiche is the fronte of the battell of pikes and there restethe 6. pi∣kes whiche shall serve to guarnish the coulores, so that 38. is the fronte and 15. the flanke. Nowe for the division of youre 540. musketes firste say that for the girdelinge shott of the righte flanke of the battell of pikes muste marche 16. rankes of 5. musketes in eache ranke comprehended the ranke of the culors, so the firste division of shott of the van garde is divided into 16. rankes of five musketes in ea∣cheranke. And the seconde division of shott of the van∣garde and firste winge of the right flanke of the battell of pikes is divided into 19. rankes of 5. musketes in eache ran∣ke. The thirde division or winge of the vāgarde is also divi∣ded into 19. rankes of 5. musketes in eache ranke whiche shall serve for the seconde winge of shott of the vangarde and righte flanke of the battell of pikes, so that 270. mus∣ketes, the iuste haulf of the propounded number of shott, are comprehended in the saied 3. divisiones of shott of the vangarde and righte flanke of the battel of pikes.

And for the girdelinge shott and two winges of the leifte flanke of the battell of pikes are also lefte iuste so many more. Whiche shall observe the self same order in linenge the leifte flanke of the pikes. Page  114 Imeane 16. rankes of five musketes in eache for the girdelinge shott of the leifte flanke of the battell of pikes and 2. slives, of 19. rankes of 5. musketes in eache ranke, in whiche 6. divisiones are comprehended the full number of shott whiche was 540. musketes advertisinge that the firste three divisiones of shott shall marche before the pikes, and the other three divisiones of the rergarde and leifte flanke shall mar∣che after the pikes, as by the divisiones folowinge set downe in brife and shall be better understoode by suche as are not experte in this ar∣te: so that they may the sooner cōceiue and come to understande thee∣se divisiones, and howe oute of there marche they fall into battell wi∣the grace and brevity withoute any crossinge confusion or breakinge of rankes as many do, whiche are not expert in aritmetike nor in the severall sortes of divisiones of firy weapone.

The firste division of shott and firste winge of the vangarde is divided into 19. rankes of five musketes in eache ranke whiche conteines.95 musk.
The seconde winge and division of the vangarde is divided into 19 rankes of five musketes in eache ranke.95 musk.
The thirde division of shott of the vangarde for the girdelinge shott of the righte flanke of the battell of pi∣kes is divided into 16. rankes of five musketes in eache ranke comprehended the ranke of the coulores.80 musk.
After theabove 3. divisiones of shott of the vangarde shall marche the firste division of pikes of 15. rankes of 10. pikes in eache ranke.150 pikes.
The seconde division of pikes is also divided into 15. rankes of 10. pikes in eache.150 pikes.
The thirde division of pikes Idem.150 pikes.
The fourthe division of pikes is divided into 15. ran∣kes of 8. pikes in eache ranke whiche dothe cōtaine.120 pikes.
Or the coulores did remaine.006 pikes.
The firste division of shott of the rergarded that fol∣lowes the pikes and that shall line the leifte flanke is di∣vided into 16. rankes of 5. musketes in eache ranke monted.080 musk.
The seconde division and firste winge of mus∣ketes of the reregarde is divided into 19. rankes of 5. musketes in eache ranke whiche followes the girdlinge shott of the leifte flanke and conteines.95 musk.
Page  115The thirde division of shott of the rergarde is divided into another slive of 19. rankes of five musketes in eache ranke.95 mus.
 1116.

The saied 1116. souldieres are divided into ten divi∣siones as before declared and who oute of there marche they shall fall in battell eyther in singell or double fiele as occasion shall require, and the situation and disposition of the grounde shall permit, advertisinge that there did remaine 6. pikes for to guarnishe the coulores, and that in the divisiones of the lininge shott and ranke of the coulores is comprehended 2. rankes of shott and that eache one of the 4. winges dothe conteine 3. rankes more then the divisiones of the girdelinge shott, and that for cause that ordinaryly the winges are augmented with 3.4. or 5. rankes more then the girdelinge shott.

〈 math 〉

[illustration]
Fronte of the Battell.

Table of the Battell.
570 p.Boddy of the battell of pikes.
6 p.Remainder of pikes.
95 m.Firste wing of musketes.
95 m.Seconde winge of musketes.
80 m.Lininge of the righte flanke.
80 m.Lininge shott of the leifte flanke.
95 m.Firste winge of musket. leifte flanke.
95 m.Seconde winge of mus. leifte flanke.
1116. 

Page  116〈 math 〉

TO frame a Squadron square of grounde of 2782. 〈 math 〉 Souldieres of the whiche number 1050. are pikes, and 1732. musketes, to reduce this number into a Squadron square of grounde, whiche the Spanniarde caulle Quadro de terreno, firste take the propounded num∣ber of pikes whiche is 1050. and multiply it by 3. the pro∣ducte, wherof will by 3150. this producte divide by 7. and the number in the quotient will be 450. oute of this quotiente take the square roote whiche youe shall finde to be 21. and 9. remayninge, and say that 21. is the flan∣ke of the propounded number of pikes. Nowe to finde the fronte of the battell take the full number of pikes, whiche is 1050. whiche yove shall divide by 21. the flan∣ke, and the quotient will be 50. and remainethe nothin∣ge, and say that 50. is the fronte of the battell of pikes, and 21 the flanke.

Nowe for the division of youre shott suppose that yo∣ve woulde have the lininge shott not to contayne more then 4. in ranke, and that yove woulde have the battell of pikes, to be proportionally lined every way withe shot. To wourke the whiche, take 21. the flanke of the battell of pikes, and multiply it by 4. the producte wherof will by 84. and say that the firste division of shott is 84. mus∣kete▪ or 21. rankes of 4. musketes in eache ranke, whiche is the linenge shott of the righte flanke of the battell of pikes, and the seconde division of shott for the linenge of the leifte flanke shall containe juste so many more, no∣we to finde oute the nūber of shott that shall be in pro∣portion to guarnish the full fronte of the battell of pikes and of the two linenges, ad to 50. the fronte of the pro∣pounded number of pikes 8 the number of shott of the two linges whiche two aditiones will make 58. and say that 58 rankes of 4. mus∣ketes in eache ranke shall be the guarnison, or linenge shott of the fronte of the battell of pikes, and of the 2 linenges, and juste so ma∣ny Page  117 more for the guarnison of the rerewarde of the bat∣tell 〈 math 〉 of pikes, meaninge as before declared 58. rankes of 4. musketes in eache ranke, so the two flankes fronte and rerewarde of the battell of pikes is proportionally lined every way withe 640. musketes, and restethe 1092. musketes whiche i divide into 22. troupes or maniples, ordered and divided in the fronte, rergarde, and 4. angles of the battell of pikes, to skirmishe eyther in single or double fiele as tyme occasion and situation shall requi∣re, and permitt; all whiche divisiones youe may see by the figure folowinge, for the divisiones of shot let none be ingnoran∣te but that there are many considerationes, and curiosities to be had as time and occasion shall require, and especially if the enemy be su∣perior on horse.