| Henry Martyn Taylor - 1893 - 486 pages
...be at right angles to the base, the triangle is isosceles. PROPOSITION 26. PART 2. If two triangles **have two angles of the one equal to two angles of the other,** and the sides opposite to a pair of equal angles equal, the triangles are equal in all respects. Let... | |
| 1894 - 832 pages
...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 must triangles... | |
| Great Britain. Education Department. Department of Science and Art - 1894 - 892 pages
...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 are equal... | |
| Alfred Hix Welsh - Plane trigonometry - 1894 - 230 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
...be at right angles to the base, the triangle is isosceles. PROPOSITION 26. PART 2. If two triangles **have two angles of the one equal to two angles of the other,** and the sides opposite to a pair of equal angles equal, the triangles are equal in all respects. Let... | |
| 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 —... | |
| 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.... | |
| George Albert Wentworth - Geometry - 1896 - 68 pages
...subtracted from two right angles, the remainder is equal to the third angle. 140. Cor. 2. If two triangles **have two angles of the one equal to two angles of the other,** the third angles are equal. 141. Cor. 3. If two right triangles have an acute angle of the one equal... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...homologous sides are proportional and the triangles are similar. § 261 QED 263. COR. I. If two triangles **have two angles of the one equal to two angles of the other,** the triangles are similar. 64. COR. II. If two straight lines are cut by a series of parallels, the... | |
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