##### A Squadron of two times more in fronte then in flanke.

〈 math 〉

TO finde oute the fronte and flanke of any number of pikes, whi∣che yove woulde have to be two times more broade then longe or more in fronte then in flanke, whiche i supose at this instant to be 1008. of the vvhiche 520. are pikes and 488. muske∣tes, 〈 math 〉 firste take the propounded number of pikes whiche is 520· and multiply the same by 2. the producte will by 1040. nowe oute of this producte take the square roote, whiche wilbe 32, and 16. remaininge, and say that 32. is the fronte of youre battell of pikes, nowe to finde oute the flanke, take the propounded number of pikes, whiche is 520. This 520. divide by 32. the fronte, and the number in the quotient will be 16. and 8. pikes remaininge so yove founde oute the fronte and flanke, meaninge that 32. is the fronte, and 16 the flanke, and 8. pikes remaininge, in youre laste division, whiche will serve to guarnish the culoures, withe the observation of this rule, yove may frame a bat∣tell of pikes eyther of smale or greate numberes, and of whate forme yove will have the same to conteine of 3. times 4. times or 5. times more in fronte then in flanke in multi∣plyinge the propounded number of pikes by the propor∣tion therof, if yove woulde have it containe 3. times more in fronte then in flanke multiply youre propounded number of pikes by 3. if yove woulde have it to containe 4. times more in fronte then in flan∣ke multiply it by 4. and in wourkinge as before taughte yove shall fin∣de oute the fronte and flanke, and there juste proportion; for the im∣palinge shott i have spoken of in other forme of squadrones, but for suche as woulde be curiouse and experte, is required greate considera∣tion to be had for the severall sortes of divisiones of shott, as time oc∣casion and situation shall require, and it is moste necessary for him that undertakethe this chardge in hāde to by expert in Arithmeticke, and so withe continuall practice shall he withe greate facility bringe to juste perfection all the divisiones befitenge for this purpose, and let none be ingnorante but that for the severall and rare curiosities of the divisiones of shott is required muche practice, and specially in Page 88 Aritmeticke, whiche is the principall fundament in reducenge thees devisiones into there iuste perfection, alwayes consideringe of tyme occasion and situation, as also of afore caste prevention againste the stratageames and orderes of youre enemy.

A Squadron square of men of 3024. Souldieres of 〈 math 〉 the whiche 1764. are pikes, and 1260. musketes divided into severall maniples, and troupes to marche that they may fall into battell presently when occasion is offered as by the figure and divisiones folowinge set dow∣ne, and for suche as have not intered into the deepe judgement and practice of this arte. I will here set downe the order of there divisio∣nes, firste take the propounded number of pikes, whiche is 1764. oute of the whiche take the square roote, whiche will by 42. the whiche is the fronte and flanke of youre pikes. That don take the full number of youre shott, whiche is 1260 and divide this by 42. the flanke of the propounded number of pikes, and the number in the quotient will by 30. That don divide 30 the quotient into two equall partes, and youe shall finde the haulfe therof to be 15 so say that 15. shot comes under the shelter of eache pike of youre flanke for the guarnison of the same, I meane to eache of the two flankes, for triall wherof multi∣ply 42. the flanke of the pikes by the quotient of youre laste devition whiche was 30. and the producte will by the iuste number of shott propounded, And that youe may the more easy perceive thiese devi∣siones I will set them downe in breefe as heere folowinge youe may see.

The firste division is 42. rankes of five musketes in eache ranke whiche shall marche in the vangarde of the divisiones of youre marchinge whiche mōted. | 210 musketes. |

The seconde division of youre squadron is 42. ran∣kes of 7. pikes whiche folowes the firste division of mus∣ketes and monteth. | 294 pikes. |

The thirde diuision that folowes the seconde shall marche withe 42 rankes of 7. pikes in eache ranke whi∣che monteth. | 294 pikes. |

The fourthe division shall by of 42. rākes of mus∣ketes of 5. in eache ranke monteth. | 210 pikes. |

The fifthe division shall marche withe 42. rankes of pikes of 7. pikes in eache ranke whiche monteth. | 294 pikes. |

The sixte division is 42. rankes of musketes of 5. Page 89 musketes in eache ranke whiche is the laste division of shott of the vangarde and linenge shott of the right flanke of the squadron of pikes whiche monteth. | 210 musketes. |

So are the pikes and shott of the vangarde divided and the reste of youre shott and pikes are divided as folowethe.

The firste division of the rergarde is divided into 42. rankes of 5. musketes in eache ranke whiche shall marche in fronte of the linēge shott of the liefte flan∣ke of youre battell whiche monted. | 210 musketes. |

The seconde division of the reregarde is 42. rankes of 7. pikes in eache ranke whiche monted. | 294 pikes. |

Vhe thirde division of the rergarde is divided into so many more rankes. | 294 pikes. |

The fourthe division of the reregarde is 42. rankes of 5. musketes in eache ranke the firstwinge of shot of the lefte flanke of the battell of pikes. | 210 musketes. |

The fifthe division is 42. rankes of 7. pikes in eache ranke monteth. | 294 pikes. |

The sixte division of the rergarde is divided into 42. rankes of five musketes in eache ranke for the se∣conde winge of shott of the liefte flanke. | 210 musketes. |

3024. |

If youe woulde have the one haulf of youre shot to marche by them selfes in the vangarde of the pikes as comonly many do, youe may withe ease and breuety in observinge the same divisiones and withoute breakinge of any rāke, in onely co∣mandinge that the firste 3. divisiones of shott do marche in the vant∣garde, and then cause all the divisiones of pikes to folowe, observen∣ge there order as before set downe, plasinge the culores in the cen∣ter, and after them in therergarde to marche the other 3. divisiones of shott which is for the lininge of the liefte flanke and observinge their order as before spoken of.

- 1764 pikes.
- 1260 musk.
- 3024. men.

〈 math 〉