 | George Bruce Halsted - Geometry - 1896 - 208 pages
...opposite angles are supplemental. 403. Theorem. Two spherical triangles, of the same sense, having two angles of the one equal to two angles of the other, the sides opposite one pair of equal angles equal, and those opposite the other pair not supplemental,... | |
 | Henry Martyn Taylor - 1893 - 486 pages
...and E be taken, such that BD, CE are equal, BE is greater than CD. 5—2 PROPOSITION 26. PART 1. If two triangles have two angles of the one equal to two angles of the other, and the side adjacent to the angles in tlie one equal to the side adjacent to the angles in the other,... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...to draw through P a straight line intersecting AB, AC in D, E, so that AD may equal AE. (10.) 8. If two triangles have two angles of the one equal to two angles of the other, each to each, and have likewise the sides which are adjacent to these angles equal, show that the triangles... | |
 | 1894 - 832 pages
...as many misses as B. Find the number of hits and misses of each. GEOMETRY. Time, 2 hrs. 13 1. (a) If two triangles have two angles of the one equal to two angles of the other each to each, and one side equal to one side, those sides being opposite equal angles in each, then... | |
 | Alfred Hix Welsh - Plane trigonometry - 1894 - 228 pages
...greater — the half sum. = BCD, since BD = BC; = AEB = CEF. PLANE. Hence, the triangles ADF and CEF have two angles of the one equal to two angles of the other, eacl1 to each, and are therefore similar, since their third angles Л FD and EFC must be equal. But,... | |
 | Henry Martyn Taylor - Euclid's Elements - 1895 - 708 pages
...and E be taken, such that BD, CE are equal, BE is greater than CD. 5—2 PROPOSITION 26. PART 1. If two triangles have two angles of the one equal to two angles of the other, and the side adjacent to the angles in the one equal to the side adjacent to the angles in the other,... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...OP1 : OP2 A8 P. .'. OP2 is unique. Def. 4th prop., cor. 1 Theorem 8. Triangles are similar if they have two angles of the one equal to two angles of the other, respectively. Given the AA^d, A2B2C2, with Z A1 = Z A2 , Z G1 = ZC2. To prove that AA^d — A A2B2C2.... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 346 pages
...OA2 = OPi :OP2, .'. OP2 is unique. Def. 4th prop., cor. 1 Theorem 8. Triangles are similar if they have two angles of the one equal to two angles of the other, respectively. Given the AA^d, A2B2C2, B, with Z Ai = Z A2, ZG! B^^\X, = ZC2. To prove that AA^Ci —... | |
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If two triangles have two angles of the one equal to two angles of the other, each to each, and one side equal to one side, viz. 
