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Sholar. Here I see the same. 4 nombers. 9. 15. 21. and. 27. set as the lesser sides: And their greater sides are soche as disagree frō the former rule. And in. 15. 21. and. 27. I see twoo varieties, vnlike to the former example. But seeyng the sides doe disagree, I doe not maruel that the diametralle nombers are diuerse from the former.

Master. Examine these nombers, whether thei be true.

Scholar. I must multiplie eche side by it self, and then adde thē together: and if thei make as moche iustly, as the diameter beynd multiplied square, then are thei true nombers. So I see, that. 9. maketh. 81. and 12 doeth yelde 144 whiche bothe added doe make. 225. And so moche doth 15 make, being multiplied square.

Likewaies, for the second figure 15. bryngeth forth225.