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" If two triangles have two angles of the one equal to two angles of the other, each to each, and also one side of the one equal to the corresponding side of the other, the triangles are congruent. "
Elements of Geometry: With Practical Applications to Mensuration - Page 105
by Benjamin Greenleaf - 1868 - 320 pages
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 804 pages
...B. Find the number of hits *• and misses of each. GEOMETRY. Time, 3 hn. 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...
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Euclid's Elements of Geometry, Books 1-6

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...
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Annual Report of the Chief Superintendent of Education

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...
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Examination Papers for Science Schools and Classes

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...
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Plane and Spherical Trigonometry

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,...
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Euclid's Elements of Geometry, Books 1-6; Book 11

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...
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Plane and Solid Geometry

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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Plane and Solid Geometry

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....
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Syllabus of Geometry

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...
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Elements of Geometry

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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