Page:The Whetstone of Witte.djvu/63

 nomber (as the moste apte for a coniecture) and it yeldeth. 279$3/7$. And the square of. 35. is. 1225. whiche is farre more then the double of. 279$3/7$.

Therfore, again I proue with. 32. whiche giueth 305$5/8$. And seyng the square. 32. is. 1024. it is not 4. tymes so moche as. 305$5/8$. for that is. 1222$1/2$.

Wherfore I take a greater nomber, betwene it and. 35. And first I take. 33. whiche bringeth forthe 296$1/11$. wherby I maie see that. 33. is to greate. And seyng there is no nomber lefte betwene. 32. and. 33. therfore I iudge that firste nomber. 9780. to bee no diametralle nomber.

Master. Examine this nomber. 43200.

Scholar. Bicause I see it to be a greate nomber, I will begin with a greate parte of it. And therfore, I take. 100. whiche yeldeth. 432. And consideryng that the square of. 100. is. 1000. whiche is farre to greate, I must seke a lesser nomber.

Master. I will ease you of your paines in that. For bicause here is more to bee considered. You remember that I tolde you before, in makyng of diametralle nombers, how that some nombers doe followe the rules of ther, of whiche thei be compounde. And farthermore, that soche compounde diametralle nombers, did beare proportion to the lesser, as the proportion was of bothe their sides added together.

Scholar. That is true.

Master. Of like reason all soche diametralle nombers, must bee excluded from these rules, whiche bee made peculiarly for nombers that haue their owne proper formes, and depende not of other.

And yet some common rule must bee giuen, that maie extende as well to them, as to any other.

Wherfore let this be it.

That the twoo sides of all diametralle nombers, haue soche a proportion together, as here you see expressed