Gore, James Howard, 1856-1939 · New York, Longmans, Green, and co. · leaf 214
PROPOSITION VI. THEOREM. 523. The area of a lune is to the surface of the sphere as theangle of the lune is to four right angles. Let ACBD be a lune, and ECDH thegreat circle whose poles are A and B;let L be the area of the lune, and 5 thesurface of the sphere, and A the angleCAD, or the angle of… … since angle A is measured by arc CD, and ECDH is the cir-cumference. Apply a common measure to CD and ECDH,and suppose it is contained n times in CD and m times in ECDH, then CD =--.ECDH m Through these points of division pass great circles; then 202 SOLID GEOMETRY. [BK. VIII. the lime ACBD will…
Geometry
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