Page:The Whetstone of Witte.djvu/73

 Here you see diuerse rewes of nombers, and against euery rowe twoo names written: one on the right hande, and the other on the lefte hande, whiche serue for all the nombers in that rewe.

The names on the lefte hande bee those names, whiche bee commonly vsed, and attibuted to those nombers.

The names on the righte hande, are names of my addition, whiche doe aptly expresse the very natures of the nombers, vnto whiche thei bee assigned: as anone I will declare.

And now concernyng the nombers, you see firste in the hedde of the table, a rewe of nombers set in order, as thei followe in common nombryng, from one forward. And thei bee called rootes, for that the multiplication of eche of them, by theimselfes, or by that, that thereof amounteth, bryngeth forthe all thother, that bee set vnder them.

Of the whiche, the seconde rewe is called Square nombers: bicause that their length and their bredth (whiche I vnderstand by the. 2. nombers of their multiplication) is equalle.

As. 2. tymes. 2. doeth make. 4. whiche is a square nomber, and maie bee figured thus.

Likewaies. 3. tymes. 3. maketh. 9. whiche is a square nomber, and is represented thus.

And here you se, that if you diuide the Square nomber by his roote, the quotiente will be the same nōber also.

Scholar. That must nedes be so.

Master. Then in the thirde rewe are placed Cubike nombers: whiche are produced by triple multiplication. As. 2. tymes. 2. twise, maketh. 8. And. 3. tymes. 3. thrise, yeldeth. 27. So. 4. tymes. 4. fower tymes, giueth. 64. These nombers can not be expressed aptly in flatte, but prospectiuely, as Dice maie be made in protracture.