To bring these fractions into whole numbers of proportion, you must worke thus: Multiply the whole number by the denominator of the fraction, and adding thereunto the numerator of the said fraction, the proportiō is found: as for exam∣ple, to haue the battell to containe two times, and a third more broade then long▪ I seeke in the table 2 ⅓ whereof the whole number is 2, and the fraction is ⅓. Now multiply the whole number 2, by the fractions denominator 3, and it maketh 6, whereunto ad the fractions numerator, which is 1, and it amounteth 7, so is 2 ⅓ in proportion as 7 is to 3, and so must you worke any the like numbers.In all these aforesayd proportions, to make the battels of proportion of equali∣ty, that is as broade as it is deepe, or of inequality, which is more in breadth then in depth, both these wayes is to bee vnderstood of men, and not of ground; for of the proportions of ground I will speake hereafter.These proportions of men and not of ground.Gent.Me thinks I vnderstand touching the proportions of equality, and ine∣quality, & that is so broade as deepe, or more in breadth then in depth, vnderstan∣ding of men, both of the one manner, and the other; but I would gladly (Cap∣taine) that you would shew it vs by example, for so we shall the better conceiue of the matter.Capt.I will most willingly: Therefore to begin, I will set downe to make a square battell of number of men, that is, so many men in front as in flanke: And let our whole number be 5000 men, of armed pikes, and single pikes one with ano∣ther. Now to frame this quadrat battell, you shall take in the aforesaid tables, the numbers of proportions of equality, which are as 1 to 1. Then must you set downe your rule in this sort:The rule to frame a square battell of men. Setting downe first the proportion of equality for the first and second number, and the number of men for the third number, thus 1 prime, 1 second, 5000 third. This being done, multiplie the 3 number which is 5000, the number of men by 1, the second number, and it maketh still 5000, (for 1 doth neither multiplie nor deuide) then deuide the said first multiplied number 5000 by 1 the first number, and it maketh yet 5000. Now out of that 5000, you shall take the quadrat roote, which is 70. So 70 rankes of men shall your battell containe, both in breadth and length; and there will remaine 100 men. For 70 multiplied into itselfe resulteth 4900, the which deducted out of 5000, there resteth 100 men, the which 100 men deuide by 70, so will there arise one more ranke of men, and yet will there remaine 30 men ouer, the which one ranke shall be ioyned vnto the 70 rankes aforesayd, so are they 71 in breadth and 70 in length: but to the end you may better vnderstand me, I will go shewing the same by figures, whereof this shall be the first.0
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