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.
Proportiones of inequalities is that the battell may be more broade then longe or more in fronte then in flanke.

THiefe proportiones of inequalities is as 2. to 1. that is to say the battel to be two tymes more broade then longe, or more in fronte then in flanke, as is one to thre or 1. to 4. ett. or the bat∣tell to be three times or 4. tymes more broade then longe, or more in fronte then in flanke, or to be 2⅓. or 3¼. more broade then longe or any other suche like proportiones, to whiche effect i put this table and the rules thereunte apertaininge.

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is as—2to3
1⅔35
1 2/446
1⅔57
1 2/668
1 2/779
1 2/8810
1 2/911
2/38
411
205
2/1817
2⅔37
2 2/4410
2 1/7715
2 2/6614
2 3/7717
is as —2to7
3/3310
413
3⅕516
3 2/6620
3 1/7722
3 1/8825
3 2/9929
3 3/930
209
4⅓313
417
4⅕521
4⅙625
4 1/7729
4⅛833
4 1/9937
4 2/9938
is as —2to11
5⅓316
5/4421
5⅕526
5 /6631
5 1/7736
5 2/7737
5 2/841
5 1/9946
213
6⅓319
425
6⅖531
6 2/6637
6 2/7743
6 2/7744
6⅛849
6 1/9955

To reduce theese fractiones into whole numberes, and to knowe theyr proportion youe are to wourke in this maner folowinge. Firste multiply the whole number by the fractiones denominator, and ad therunto the numerator of the saied fraction, and the proportion is founde, as for example to have the battell to containe so muche and the one haulf more in front then in flanke whiche the 〈 math 〉 Spaniard call tanto i medio; seeke in the table 1½ wher of the whole number is. 1. and the fraction is ½ nowe multiply the whole number 1. by the fraction is De∣nominator 2. and it makethe 2. wherunto youe shallad the saied fractiones numerator which is 1. whiche two adisiones dothe amount 3. and the fractiones denominator is 2. so say it is in proportiō as is 2. to 3. and so muste yove wourke withe all suche num∣beres to knowe the proportion therof, or say that youe will have the battell to be 3 3/3. more in fronte then in flanke, and to 〈 math 〉 finde the proportion say it is as 3. to 10. as in the table yove shall see, and that yove may better understand it wourke as before taughte, firste in multiplienge the vvhole number 3. by 3. the fractiones denominator and it vvill be 9 to this 9. ad 1. vvhiche is the fractiones numerator and it vvill be 10 and say that it is in proportion as 3. to 10. and vvithe Page  82 this observation and rule youe shall knovve in vvhat proportion shall by anny number.