in learnyng: therefore will I propounde to you one example more.
What saie you of. 5460? Is it a diametralle nomber or no?
Scholar. I will trie it, by settyng doune his partes thus.
| 3. | 5. | 6. | 7. | 10. | 12. | 13. | 14. | 15. | |
| 1820. | 1092. | 910. | 780. | 546. | 455. | 420. | 390. | 364. | |
| 21. | 21. | 28. | 30. | 35. | 42. | 52. | 60. | 70. | |
| 273. | 260. | 195. | 182. | 156. | 130. | 150. | 91. | 78. |
And here I se diuerse and many nombers, whiche at the firste sighte, appere nothyng mete for this purpose. For. 20. is to smalle a nomber, as I maie sone iudge: and therfore all other nombers vnder it, must nedes be to smalle, of force.
Againe, I see that. 30. is to greate a nomber, adn therfore, of necessitie, all other nombers aboue it, must nedes be to greate. So that. 21. other. 28. must be the true nomber, or els none.
Wherfore I examine first. 21. whose square is 441 whiche should bee one more then double, to the nomber vnder it, that is to saie, it should bee. 521. And so it is not: Therfore I refuse it, and examine. 27. whose square is. 784. And that should bee fower tymes so moche as. 195. (whiche is the nomber vnder it) and 4. more. Therfore I doe quadriple. 195. and it maketh. 780. And then I see that it wanteth, but fower of the other square: wherfore I take those twoo nombers, I meane. 28. and. 195. for the true sides of. 5460. whiche I finde to be a diametralle nomber.
Master. By the waie, remeber that you could easily perceiue, that all nōbers vnder. 20. were to small for your purpose: and contrary waies, all aboue. 30.to
