ber, and alwaies shall bee so: yet is it not accepted as a like flatte, onles it bee referred to some other square nomber.
Scholar. What if it be compared with. 12. which you named before to be a like flatte?
Master. You remember: one of Euclide his rules (whiche I repeated before) is, that like flattes beeyng multiplied together, will make a square nōber. And sodoeth not. 12. beyng multiplied by. 4.
Scholar. Now I doe vnderstande your woordes better. So. 3. and. 8. compared together, bee not like flattes: yet echo of them compared to other nombers, maie be like flattes. As. 3. compared to. 12. or to. 27: and 8. compared to. 18. or to. 50.
Of rooted nombers Master. Now will we lette these like flattes alone for a tyme: And intreate more of rooted nōbers. And first I will tell you somewhat of the names and natures of soche nombers as haue rootes: Then secondarily I will teache you the order to extract their rootes: And afterwarde will I shewe some parte of the vse of theim.
A roote. Wherfore to begin, where we lefte a litle before, the explicatiō of rootes: I saie, that the roote of nomber, is a nomber also: and is of soche sorte, that by sondrie multiplications of it, by it self, or by the nomber resultyng thereof, it doeth produce that nōber, whose rooe it is. And accordyng to the nomber of times that it is multiplied, the nomber that resulteth thereof, taketh his name.
So that one multiplication maketh a square nomber And twoo multiplications doe make a Cubike nomber.
Likewaies. 3. multiplications, doe giue a square of squares. And. 4. multiplications doe yelde a sursolide.
And so infinitely.
For as multiplication hath no ende, so the nombers amountyng to them be innumerable, and theirrootes
