Page:The Whetstone of Witte.djvu/53

 of. 3. And therfore as. 3. hath. 4. for to make the second side with hym, so. 9. (beeyng thrise. 3.) shall haue. 12. (whiche is thrise. 4.) for a matche side with hym.

Likewaies. 15. beyng compounde of. 5. and. 3. shall haue their formes in the makyng of the diametralle nōbers. For as. 3. hath. 4. so. 15. (beeyng fiue tymes. 3.) shall haue. 20. (whiche is fiue tymes. 4.) for the seconde side.

Again, as. 5. hath. 12. so shall. 15. (beeyng three tymes. 5.) haue. 36. (that is three tymes. 12.) for his seconde side.

LikemaiesLikewaies [sic]. 21. beyng compounde of. 3. and. 7. shall haue bothe their formes.

And. 27. whiche is compounde of. 3. and. 9. shall haue all the varieties of their formes.

Scholar. I see it is euen so, and that in the diameter, as well as in the seconde side. But the diametralle nomber doeth varie moche in them.

Master. Yet doe those nombers agree in a marueilouse good proportion. For if you doe consider the proportion of bothe the sides in one figure, to bothe the sides in an other figure: and adde those twoo proportions together, the addition of theim doeth make the nomber that representeth the proportiō betwene their twoo diametralle nombers. Whiche thynge I will now onely touche, as briefly as maie bee, to giue you occasion to marke it better hereafter: Sith this place doeth not fully serue for it. As. 3. and. 4. beeyng the twoo sides of a Diametralle nomber, doe make. 12. So if 9. and 12 be the sides of a diametralle nomber, that nomber must be. 9. tymes. 12. that is 108. For. 9. is triple to. 3: and. 12. is triple to. 4. And bicause the addition of proportions, is like the multiplication of fractiōs, I must multiplie. 3. by. 3. or els $3/1$ by $3/1$, whiche is all one, and that will make. 9.

Likewaies, if 3. and. 4. be taken for the sides of the