The proportion may also here in part bee expressed by numbers: And yet a continuall is not required, as it was in the former.
In Plaines let the first example be, as followeth.
The cause of proportionall figures, for that twice two figures have the same reason doubled.
In Solids let this bee the second example. And yet here the figures are not proportionall unto the right lines, as before figures of equall heighth were unto their bases, but they themselves are proportionall one to another. And yet are they not proportionall in the same kinde of proportion.
The cause also is here the same, that was before: To witt, because twice two figures have the same reason trebled.
27. Figures filling a place, are those which being any way set about the same point, doe leave no voide roome.
This was the definition of the ancient Geometers, as appeareth out of Simplicius, in his commentaries upon the 8. chapter of Aristotle's iij. booke of Heaven: which kinde of figures Aristotle in the same place deemeth to bee onely ordinate, and yet not all of that kind. But only three among the Plaines, to witt a Triangle, a Quadrate, and a Sexangle: amongst Solids, two; the Pyramis, and the Cube. But if the filling of a place bee judged by right angles, 4. in a Plaine, and 8. in a Solid, the Oblong of plaines, and the