Page:The Whetstone of Witte.djvu/77

 maie and doeth expresse some properties aptly. As namely that all those nombers, whiche rise of 4 multiplications, maie be as well made by twoo multiplicatiōs. But then the roote of the multiplication shal be a square nomber also.

Scholar. So I vnderstande that. 16. is a nomber of that sorte, which here is called Square of squares. And yet maie it bee called a square nomber: and is so in deede, in comparison to. 4. And therfore, I perceiue, it is set twise in the table: ones emongest square nombers, vnder 4 whiche then is his square roote: And algain it is set emongest squares of squares, vnder 2 which in that place standeth as his squared square roote.

Likewaies. 64. is twise set in the same table, ones emongest squares, vnder 8. whiche is his square roote: And again emongest Cubike nombers, vnder. 4. whiche is his Cubike roote.

Master. You saie truthe. Although the laste exāple be not to your purpose, concerning Squares squares or Zenzizenzikes. And if you did note it onely, for bicause it is twise set in the table: then maie you see it thrise sette in the same table, for it is in the first rewe vnder. 2.

Scholar. So I see, wherfore I might rather haue takē. 81. whiche is a Zenzizenzike nomber, and so hath for his roote. 3: And also it is a square nomber, and hath. 9. for his roote.

Master. Farther to procede, if I multiplie those squares of squares by their roote, thei will make Sursolide nombers.

Scholar. I perceiue by the nombers in the table, that you meane the leaste roote of the twoo: bicause vnder. 16. I see. 32. in the rewe of Sursolides.

Master. Reason maie driue you to thinke so. For the nomber and his roote, muste beare alwaies one name. So that if I name. 16. as a square nomber, I