Page:The Whetstone of Witte.djvu/88

 possible that a Square of squares can be a mere flatte nomber, as you haue drawen it.

Wherfore if thei had intended, that a flatte nomber should occupie the. 4. place, then should thei haue set some plat forme in the third place also. Whiche might haue been made in this sorte.

And then will it be a longe Square, and not a Cube.

But in as moche as thei doe not admitte this longe Square (whiche by that name hath no roote) therfore maie not the nomber that foloweth it, bee any other then a sounde nomber. For euery Cubike forme, beeyng multiplied by his roote, doeth make a Square piller. Whose length beareth vnto his bredth the same proportion, that his roote doeth vnto an vnitie.

Scholar. I am very well satisfied now: cōcerning the names and formes of those nombers. And by this that you haue saied, I doe farther perceiue, that. 5. multiplications doeth make the square of Cubes, whiche be set in the fifte place, emongeste the former figures. And also I vnderstande by the former table, that thei be called Sursolides.

Likewaies I see in the sixte place of the forsaied figures, Cubike Cubes, make by. 6. multiplications. But commonly the nombers of those quantities, be named Squares of Cubes. So that for their names, thus farre I am perfecte inough.