Page:The Whetstone of Witte.djvu/32

 Master. Not onely superfluousely, but also falsely should thei bee placed here: seynge thei doe belong to other places of right.

Scholar. Why doe you not name theim all by Englishe names?

Master. Bicause there are no soche names in the Englishe tongue. And if I should giue theim newe names, many would make a quarrelle against me, for obscuryng the olde Arte with newe names: as some in other cases all redy haue doen.

Scholar. Yet I praie you declare those doubtfull names of compounde proportions.

Master. As there is one kinde of proportion, that is named multiplex, or manyfolde, whiche doeth containe the lesser diuerse times exactly. And two other whiche doe containe the lesser ones, and some parte or partes of the same: So those kindes maie be compounded together. As when the greater number containeth the lesser, twise, or thrise, or oftener: and yet more ouer some parte or partes of the same. So. 8. containeth 3 twise, and his $2/3$. And 10 comprehendeth 3. thrise and his $1/3$.

The firste example is generally called multiplex superpartiens: bicause the greater containeth the lesser certaine tymes, and some partes of it besides. But more specially it is called dupla superbipartiens tertias, that is, double with $2/3$ more.

The seconde example is generally referred to multiplex superparticularis: bicause in it the greater comprehendeth the lesser oftentymes, (as here thrise) and his $1/3$ more. And therfore specially it is called tripla sesquitertia.

But as I doe intende briefly to ouer runne this parte: so will I by tables set forthe the kindes of thē with their examples.