res of the sides, bicause thei are equall: and thei make. 8. 59. 288. 1682. 9800. 57122. &. 332928. All whiche differ onely by an vnitie, from a square nomber.
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For nine is a square nomber and so are these other folowyng.
| 49. | 289. | 1681. | 9801. | 57121. | &. | 332929. | |
| whose rootes be. | 7. | 17. | 41. | 99. | 239. | 577. |
Whiche examples if you doe consider well hereafter, thei will helpe you to gesse at the nigheste rootes of nombers that be not square. And also for doblyng of squares, in a square forme: within an vnspeakeable nerenesse.
For as in doblyng of this greater square. 166464. there riseth. 332928. whiche wanteth one of a iuste square. You se easely, that as that one is but a smalle portion to the whole square: So yet, that one wanteth not in the roote, but in the whole square: where by you maie perceiue, that it is a very smalle and vnsensible parte of one, that wanteth in the roote.
Scholar. It must seme by reason of multiplication: that it is scarse the. 10000. parte of one.
Master. You saie truthe.
Scholar. But how shall I finde the diameter of soche nombers?
Master. That is easily doen, if you knowe firste certainly that your nomber is a diametrall nomber.
Acd secondarily, if you knowe the true partes ofit:
