Legendre, A. M. (Adrien Marie), 1752-1833, Brewster, David, Sir, 1781-1868, Davies, Charles, 1798-1876 · New York, Wiley & Long · leaf 189
BOOK IX. 189 Scholium. This proposition is fun-damentally the same as (Book VI.Prop. XX.) ; for, O being the centreof the sphere, a sohd angle may beconceived as formed at O by the planeangles AOB, BOC, COD,&c., and thesum of these angles nmst be less thanfour right angles ; which is exactlythe… … PROPOSITIOX V. THEOREM. The poles of a great circle of a sphere, are the extremities of thatdiameter of the sphere which is perpendicular to the circle ;and these extremities are also the poles of all small circlesparallel to it. Let ED be perpendic-ular to the great circleAMB ; then will E andD be…
Trigonometry · Geometry
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