Hire folowethe who the full number of pikes and shott is divided into 31. divisio∣nes and who oute of theyre marche they fall into battell.
|THe firste division of shott that lines the righte flanke of the battell of pikes is 21. rankes of 4. mus∣ketes in eache ranke.||84 musk.|
|The seconde division of shott for the linenge shott of the leifte flanke of the battell of pikes iuste so many mo∣re 21. rankes of 4 muskets.||84 musk.|
|The thirde division of shot that guarnisheth the full fronte of the battell and 2. lininges is 58. rākes of 4. mus∣ketes in eache ranke.||232 musk.|
|The fourthe divisiō of shott that dothe guarnishe the rerewarde of the battell of pikes and 2. lininges is 58. ran∣kes of 4. musketes in eache ranke.||232 musk.|
|22. maniples of 50. musketes in eache, devided on the fronte rergarde, and 4. angles of the battell make∣the.||1100 mus.|
Advertisinge that of one of the troupes of musketes on the angles of the battell are to by taken 8. musketes which wantes to guarnish the culoures be reason no mus∣ketes did remaine in theire laste division, also be reason no pikes did reste in the division of the pikes y cut 21. pikes of the flanke to guarnishe the culoures so the fronte of the battel of pikes Page 118 shall by but 49. pikes. And by reason the divisiones are before shut upp thies 8 musketes difereth in the rekoninge, so that when acon∣v eniente number of pikes and shott doe not remaine oute of the di∣visiones suficiente to guarnish the culoures the above observation mu ste be kepte as ordered in the Table of the battell, so to confronte the divisiones with the propounded number yove are to by informed by the table for bienge infallible.
Page 119〈 math 〉
A Battell of 2025. Souldieres divided into five battelles square of grounde, of the whiche number 945. are pikes, and 1080 mus∣ketes whiche are equally divided into five batteles, and propor∣tionally lined withe the propounded number of shott whiche is 1080. musketes as the divisiones and figure folowinge sheowethe.
To wourke the whiche firste take the propounded 〈 math 〉 number of pikes whiche is 945 and divide it into five par∣tes or by five, and the number in the quotiente will by 189. whiche is the iuste number of pikes youre division yealdethe for eache battell of the five, nowe to finde ou∣te the fronte, and flanke of eache battell take 189. pikes whiche youre division alowethe for eache battell of pikes, and multiply the same by 3. the producte wherof will by 567. this producte divide by 7. and the number in the quotient will by 81. oute of this 81. the quotiente take the square roote whiche will by 9. and say that 9. is the flanke of eache one of the five batteles of pikes, nowe to finde the fronte take the propounded number of pikes whiche youre division did alowe to eache battell of pikes whiche was 189. this 189 pikes divide by 9 the flanke, the quo∣tiente wherof will by 21. and nothinge remayninge, and say that 21. pikes is the fronte, and 9. the flanke of eache battell of pi∣kes before spoken of and when yove will have them fall into squadron lett them marche in 3. maniples of 9. rankes of 7. pikes in eache ran∣ke withe the coulors in the center of the midel maniple, and so shall they fall withe grace and brevity into battell, and withoute any cro∣singe or confushion. To guarnishe the coulors yove may cutt nine pikes of the flanke of eache battell, and so shall the fronte conteine but 20. pikes; nowe for the division of the propounded number of shott whiche was 1080. musketes supose that yove woulde have eache battell of pikes to be proportionally lined alowinge 3. musketes under the shelter or defence of the pike, firste say that the firste division of shott that shall girdel the right flanke of the firste battell of pikes shall conteine 9. rankes of 3. musketes in eache ranke, and iuste so ma∣ny more for the girdelinge shott of the leifte flanke, so is the 2. flan∣kes of the battell of pikes guarnished: Nowe to guarnishe the fronte Page 120 of the battell of pikes withe shott say that 21. is the frōte of the battell of pikes, and adinge thereūto the two lininges it makethe 27. and say that the third division of shott is to marche withe 27. rankes of 3. mus∣ketes in eache ranke, whiche shall guarnishe the full fronte of the bat∣tell of pikes, and two lininges; Nowe the two flākes and fronte of the battell of pikes are guarnished, and guarnish the rerwarde of the bat∣tell of pikes observe the self same order as yove did in guarnishinge the fronte of the battell of pikes whiche was 27. rankes of 3. musketes in eache ranke, so youre battell of pikes is proportionally lined every way as before declared. The selfe same order shall by observed for the linenge, and girdelinge shott of the other foure batteles of pikes as more plainely shall a peere by the divisiones and figure folowinge
|The firste division of shott that dothe guarnishe the righte flanke of the battell of pikes is divided into nine rankes of 3. musketes in eache ranke.||27 musk.|
|The seconde division of shott that guarnisheth the leifte flanke of the battell of pikes shall observe the self same order.||27 musk.|
|The thirde division of shott that shall guarnishe the full fronte of the battell of pikes, and of the two linen∣ges is divided into 27. rankes of 3. musketes in eache ranke monted.||81 musk.|
|The fourthe division that dothe guarnishe the rer∣warde of the battell of pikes shall observe the self same order Imeane 27. rankes of 3. musketes in eache ranke.||81 musk.|
By the above mentioned foure divisiones yove see 〈 math 〉 who the firste battell of pikes is proporsionally guar∣nished withe shott, whiche 4. divisiones makethe 216. musketes, and the self same order shall be observed to guarnishe eache one of the other foure battelles of pikes whiche makethe up 1080 musketes the propounded number for the five batteles, as youe may plainely see by the figure folowinge howe they fall oute of there marche, and divisiones into battell as be∣fore declared, advertisinge that in the divisiones of the pikes and shott there did remaine nothinge.Page 121〈1 page duplicate〉
Page 121〈 math 〉
Fronte of the seconde Battell.
Fronte of the firste Battell.
Fronte of the thirde Battell.
Fronte of the fifthe Battell.
Fronte of the fourthe Battell.
|Divisiones of the firste Battell: Firste division is 9. r. of 7. pikes.||63 pikes.|
|Seconde division. Idem.||63 pikes.|
|The thirde division. Alsoe.||63 pikes.|
|Multiplied by five.||5.|
|Pikes of the five Batteles.||945 pikes.|
|Lininge shott of the righte flanke of the firste battell of pikes, 9. rankes of musketes in eache ranke.||27 musk.|
|Lininge shot of the lieft flank 9. r. of 3. musketes.||27 musk.||945 musk.|
|Liningh shot of the front 28. r. of 3. m. in each ranke.||81 musk.||1080 pikes.|
|Guarnision of shot of the reregarde 28. r. of 3. musketes.||81 musk.||2025 men.|
|Lininge shott of the 5. battelles.||1080.|
Advertisinge that no pikes nor shot did remaine oute of the divisiones to guarnishe the culoures, so that one ranke of pikes and shott may by cutt all a longeste, the fronte or flanke of each battell to guarnish the culoures.
Page 121〈 math 〉
COnsideringe that crosse batteles are of wonderful force as well aganiste horse as foote as also for the safegarde of bagage amu∣nitiones, and hurtemē: i toughte necessary to put downe the ru∣le for the framinge of suche forte of batteles, put in case that youe have 2032. souldieres of the whiche 1000. are pikes and 1032. are musketes and that youe wouled have this number divided into foure battelles of broade fronte proporsionally lined every way withe the propounded number of shott. To wourke the whiche firste take the number of pikes whiche is 1000. and divide the same 〈 math 〉 by 4. or into foure partes and the quotiente will by 250. whiche is the number of pikes that youre division yeal∣deth for eache of the 4. batteles of pikes, nowe to frame the firste battell take 250. pikes, and divide the same by 3. the quotient will by 83. of whiche 83. take the square roote which is 9. and say that 9. is the flanke of the bat∣tell, nowe to finde oute the fronte take 250. the number of pikes and divide the same by 9. the flanke, the quo∣tient will by 27. and 7. pikes remayninge, and say that 27. is the fronte and 9. the flanke, and 7. pikes remayninge: so yove finde oute the fronte and flanke of eache battell of the 4. and 7. pikes remaininge in eache battell whiche shall serve to guarnishe the coulores, nowe for the di∣vision of youre shott take the propounded number of shott whiche is 1032 musketes, and divide the same by 4. or into 4. partes and the number in the quotiente will by 258. whiche is the iuste number of shott youre divi∣sion yealdethe for eache battell of the 4. of pikes: that done take the number of pikes, and shot that eache battell dothe conteine, whiche is 508. this full number, divide by 3. the quotient wherof wilbe 169. oute of whi∣che take the square roote which will by 13. the flanke: nowe to finde the fronte of the full number of pikes and shott take 508. and divide it by 13. the flanke, and the quotiente will be 39. and 1. remaininge nowe take 10. Page 122 the flanke of the pikes comprehendinge the linenge of 〈 math 〉 the culors, and substracte it oute of 13. the laste flanke of the full number of pikes and shott and there shall re∣maine 3. and say that the firste division of shott shall marche withe 10. rankes of 3. musketes in eache ranke whiche shall serve for the girdelinge shott of the right flanke of the firste battell of pikes, and iuste so many more for the linenge shott of the leifte flanke, so the two flankes of the battell of pikes are lined, nowe to guar∣nishe the fronte of the battell of pikes, ad 6 the 2. li∣nenges to 27. the fronte of the pikes whiche two aditio∣nes makethe 33. and say that the thirde division of shot 〈 math 〉 shall marche withe 33. rankes of 3. musketes in eache ranke, and iuste so many more rankes of musketes shall marche to guarnish the rerewarde of the battell of pi∣kes, and two linenges, so the foure sides of the battell of pikes are proportionally lined every way, and the selfe same order shall be observed for the divisiones of eache battell of the other three as the figure and divisiones followinge sheowethe, theese cross batte∣les are esteemed to be of wonderfull force, consideringe well the fra∣minge of them, and they are also of wonderfull safegarde for the ba∣gage, amunitiones and hurtemē, and if the enemy do come to charge on the firste battell or on any of the other outewarde batteles, whiche beinge alone are but of litle force, but the two outewarde batteles marchinge uppon bothe sides of the firste, then it is of triple force, and if the enemy doe charge on the rerewarde of the two alone bat∣teles they close to gither, and are of double force, and if the enemy be stronge on horse, and shoulde charge at once on the fronte and re∣rewarde then the bagage and hurtemen are to marche betwexte the two double batteles, of the uangarde and rerwarde and cut so many pikes as shall guarnish the same on bothe sides to kepe of the fury of the horse, so it is guarished every way as the divisiones and figure fo∣lowinge sheowethe, by reason the culoures are doble lined and that yove muste cut 6. musketes for eache battell in the rekoninge shall di∣fer so many, it importeth nothinge be reason yove are to observe the generall rule of the table whiche is infallible.Page [unnumbered]〈1 page duplicate〉
Fronte of the first Battell.
Fronte of the thirde Battell.
Fronte of the seconde Battell.
Fronte of the fourthe Battell.
〈 math 〉
Page [unnumbered]BY reason that by the divisiones the conveniente number of shott did not reste for the lininge of the culoures, the 6. shott that wantes for that purpose in each of the foure battelles, are to by taken oute of some of the divi∣siones; soe that thies 6. musketes borowed shall difer But for not to err in the rekeninge alwayes observe the 〈…〉 of the di•isiones as set downe in the Table, for beinge infalible) and that moste comonly to muche or to litle pikes, and shott are wonte to remaine for the lininge of the culoures, soe that the firste divisiones ordered in the Table, is the righte way, for otherwise suche as are not curiouse and of rare judgement can not chuse but err in the rekeninge, and so for to prevente remedy of this confusion, and obscure rekeninge, allwayes observe the divivisiones of the Table, for beinge infalible, by reason that the convenient number of pikes, and shott did not re∣maine oute of the divisiones youe may cut one ranke alongste the flanke or fronte to guarnish the culoures▪
Table of the cross Battell.
〈 math 〉
Page 123SEverall orderes are used for the repartinge and prudente orderin∣ge of an army into sundry battalones, as the occasiones and judi∣ciouse intendimente of the prudente and brave Comaunder shall finde conveniente, in devidinge them into 188.8.131.52. or 16 battalo∣nes, whiche with facilitie are ordered by the prudente and experi∣mented Sardgente mayor.
An army of 19200. divided into 16. battalones of broade fronte, bienge di∣vided by 16. eache battell shall contai∣ne 1200. whos fronte is 60. and flanke 20. as by the figures folowinge yove see ordered.
The army divided into 16 batteles of broade fronte.
The selfe same army of 19200. is divided into 12. battalones of broade frōte: yove shall by youre division finde each battalon to con∣taine 1600. whos fronte is 69. and flanke 23. as the fi∣gures folowinge sheoweth.
The army divided into 12 bat∣teles of broade fronte.