Hart, C. A. (Clara Avis), b. 1863, Feldman, Daniel D., b. 1872 · New York, American Book Co · leaf 460
area of a zone is equal to the productof its altitude and the cirouwiference of a great circle. Outline •of Proof Let S denote the area generated bybroken line A^B^C\ s by broken lineABC, and Z by arc ABC; let BE, thealtitude of the zone, be denoted by H. Then -S = D^. 2 ttT? ; S = BE • 2 7ra. .-.… … 450 SOLID GEOMETRY 980. Cor. m. In equal splveres, or in the same sphere^tlve areas of two zones are to each otlver as their altitudes. 981. Question. In general, surfaces are to each other as the prod-ucts of two lines. Is § 980 an exception to this rule ? Explain. Ex. 1553. The area of a zone of…
Geometry, Plane · Geometry, Solid
Internet Archive · Public Domain Mark 1.0. Free to use for anything.
