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Elements of geometry and trigonometry (1835)

Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 192

An illustration from Elements of geometry and trigonometry, 1835, leaf 192
192 GEOMETRY Sciiolium. Vertical angles, suchas ACO and BCN are equal ; foreither of them is still the angleformed by the two planes ACB,OCN. It is farther evident, that, in theintersection of two arcs ACB, OCN,the two adjacent angles ACO, OCB,taken together, are equal to tworight angles. … PROPOSITION VII. THEOREM. If from the vertices of the three angles of a spherical triangle, aspoles, three a?cs be described forming a second triangle, thevertices of the angles of this second triangle, will be respectivelypoles of the sides of the first. From the vertices A, B. C,as poles, let the…

Trigonometry · Geometry

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