 | John Playfair - Circle-squaring - 1819 - 350 pages
...will be less than two right angles. Q, ED PROP. XI. If the 'angular points of a spherical triangle be made the poles of three great circles, these three...supplemental to the former ; and the two triangles arc such, that the sides of the one are the supplements of the arches which measure the angles of the... | |
 | John Playfair - 1819 - 354 pages
...less than two right angles. Q, ED • " PROP. XI. If the angular points of a spherical triangle be made the poles of three great circles, these three circles by their intersections mill form a triangle, which is said to be supplemental to the former ; and the two triangles are such,... | |
 | John Playfair - Euclid's Elements - 1836 - 488 pages
...will be less than two right angles. QED ' PROP. XI. If the angular points of a spherical triangle be made the poles of three great circles, these three...supplemental to the former ; and the two triangles are suck, that the sides of the one are the supplements of the arches which measure the angles of the other.... | |
 | Andrew Bell - Mathematics - 1842 - 402 pages
...the properties of the polar triangle (vol. II. Geom. p. 53) ; which are the following : — 344. ' If the angular points of a spherical triangle are made the poles of three great circles, another spherical triangle will be formed, such that the sides of each triangle are the supplements... | |
 | John Playfair - Euclid's Elements - 1856 - 346 pages
...ACB wilt be less than two right angles. PROP. XI. » If the angular points of a spherical triangle be made the poles of three great • circles, these three...circles by their intersections will form a triangle, winch is said to be supplemental to the former; and the two triangles are suck, thai the sides of the... | |
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... such, that the sides of the one are the supplements of the arches which measure the angles of the other. Let ABC be a spherical triangle ; and from the points A, B, and C as poles, let the great circles FE, ED, DF be described... 