The Logisticall finding hereof is most easy: the diameter of the sphere being geuen, and the por∣tions of the diameter in the segmentes conteyned (or axes of the segmentes) being knowne. Then or∣der your numbers in the rule of proportion, as I here haue made most playne, in ordring of the lines: for the ••ought heith will be the producte.
Hereby, and other the premises it is euident that to any segment of a Sphere,* 1.1 whose whole diame∣ter is knowne and the Axe of the segment geuen, An vpright cone may be made equall: or in any pro∣portion, betwene two right lines assigned•• and therefore also a cylinder may to the sayd segment of the Sphere, be made equall ••r in any proportion geuen, betwene two right lines.
Manifestly also, of the former theoreme, it may be inferred that a Sphere, and his diameter be∣ing deuided, by one and the same playne superficies, to which the sayd diameter is perpendicular•• the two segmentes of the Sphere, are one to the other in that proportion, in which a rectangle parallelipipe∣don hauing for his base the square of the greater part of the diameter, and his heith a line composed of the lesse portion of the diameter, and the semidiameter: to the rectangle parallelip••pedon, hauing for his base the square of the lesse portion of the diameter, & his heith a line composed of the semidiameter & the greater part of the diameter.