Elements of geometry and trigonometry. Revised and adapted to the course of mathematical instruction in the United States (1856)
Legendre, A. M. (Adrien Marie), 1752-1833, Davies, Charles, 1798-1876 · New York : A.S. Barnes · leaf 244
e angle NCM to four right angles,or as the arc NM to the circumference of a great circle. For, suppose the arc AfN to beto the circumference MNPQ, as someone integer number to another, as5 to 48, for example. Divide thecircumference MNPQ, into 48 equalparts, AfN will contain 5 of them,and if the… … 2i0 GEO^LETKY. would contain 96 of tlicse triangles, and tbe lune AMBNA^10 of them ; hence, the kine is to the spliere as 10 is to96, or as 5 to 48 ; in otiier words, as the arc MX is tothe circunifereisce. If the arc MX is not commensurable with the circum-ference, it niav still he shown, that the…
Geometry · Trigonometry
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