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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 245

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 245
easure of the angle BAC. In the same manner,ED, DF are the supplements of the measures of the angles ABC,BCA. Since likewise CN, BH are quadrants, CN and BH together, fnatis, NH and BC together, are ecjual to a semicircle: and since D isthe pole of Nil, NH is the measure of the angle FDE, therefore… … SPHERICAL TRIGONOMETRY. 2i$ PROP. XII. The three angles of a spherical triangle are greater thaii,two, and less than six, right angles. The measures of tlie angles A, B, C, in the triangle ABC, togetherwith the three sides of the supplemental triangle DEF, are (11.)equal to three semicircles; but…

Euclid's Elements · Geometry · Trigonometry

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