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Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry (1826)

Playfair, John, 1748-1819, Euclid · Philadelphia : Marot & Walter · leaf 268

An illustration from Elements of geometry : containing the first six books of Euclid, with a supplement on the quadrature of the circle, and the geometry of solids : to which are added, Elements of plane and spherical geometry, 1826, leaf 268
lso° \ + B is greateror less than 180°, (lo). The thirdsideAB. From ACB the angle sought drawCD perpendicular to AB; thenR : cos AC : : tan A : cot ACI),(c. 3.); and tan BC : tan AC ::cos ACD : cos BCD, (28.) A.D± BCD = ACB, and ACB isambigHOUs, because of the ambi-guous sign -f Of —• Let fall the… … 26S SPHERICAL TRIGONOMETRY. TABLE continued. Two angles A,B,and a side ACopposite toone of themB. 10 The sideBC oppositeto theother given an-gle A. The sideAB adjacentto thegivenanglesA,B, 11 The three sides,AB, AC, and BC. The thirdangleACB. SOLUTION. One of the angles A. Sin B : sin A : : sin AC…

Euclid's Elements · Geometry · Trigonometry

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