Note o — BOOK IV. (continued 2)

Circular Cells would have been the most capacious; but this would by no Means have been a convenient Figure, by Reason much of the Room would have been taken up by Vacancies between the Circles; therefore it was necessary to make Use of some of the rectilinear Figures. Among which only three could be of Use; of which Pappus Alexandrin. thus discourseth; Cùm igitur tres figuræ sunt, quæ per seipsas locum circa idem punctum consistentem replere possunt, Triangulum seil. Quadratum & Hexagonum, Apes illam quæ ex pluribus angulis constat sapienter delegerunt, utpote suspicantes eam plus mellis capere quàm utramvis reliquarum. At Apes quidem illud tantùm quod ipsis utile est cognoscunt, viz. Hexagonum Quadrato & Triangulo esse majus & plus Mellis capere posse, nimirum æquali materiâ in constructionem uniuscujusque consumptâ. Nos verò qui plus sapientiæ quàm Apes habere profitemur, aliquid etiam magìs insigne investigabimus. Collect. Math. l. 5.