Davies, Charles, 1798-1876 · New York and Chicago, A. S. Barnes and company · leaf 137
to the base, is a circle equal tothe base. \ \\ \ M A \ D\ B THEOREM IV. If a pyramid be cut by a plane parallel to the base, I. The edges and altitude will be divided proportionally. II. The section ioill be a. polygon similar to the base.Let the pyramid S—ABCDE, of which SO is the altitude, be… … B O O R V 1 . 137 Of the Pyramid are parallel, their intersections, AB, ab, by the plane SA B,will also be parallel (Bk. V. Th. ix); hence, the trianglesSAB. sab, are similar, and we have SA : Sa : : SB : Sb ;fax a similar reason, we have SB : Sb . : SC : Sc; end the same for the other edges ■…
Geometry · Plane trigonometry
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![An illustration from Nicolai Copernici Torinensis De reuolutionibus orbium coelestium, libri VI : Habes in hoc opere iam recens nato, & aedito, studiose lector, motus stellarum, tam fixarum, quàm erraticarum, cum ex ueteribus, tum etiam ex recentibus obseruationibus restitutos: & nouis insuper ac admirabilibus hypothesibus ornatos. Habes etiam tabulas expeditissimas, ex quibus eosdem ad quoduis tempus quàm facillime caculare poteris. Igitur eme, lege, fruere. [Line in Greek] (1543)](https://img.insideoutlibrary.com/img/200/ia-nicolaicopernici00cope-272-177.webp)
