A treatise on special or elementary geometry (1877)
Olney, Edward, 1827-1887, Olney, Edward, 1827-1887. Elements of trigonometry, plane and spherical · New York : Sheldon · leaf 233
on of two great circles ofa sphere is a straight line which passes through the centre. Q. e. d. 543. Cor.—The intersections on the surface of a sphere of twocircumferences of great circles are a semi-circumference, or 180°,cepart, sifice they are at opposite extremities of a diameter. DISTANCES ON… … PROPOSITION IT. S4S, TJieorem,—The distances, measured on the surface of asphere, from a pole to all p>oints in the circumference of a circle of which it is the pole, are equal. Dem.—Let P be a pole of the small circle AEB ;then are the arcs PA, PE, PB, etc., which measurethe distances on the…
Geometry · Trigonometry
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