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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. "
The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ... - Page 94
by Euclid, James Thomson - 1837 - 390 pages
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The First Book of Euclid's Elements: Arranged for Beginners

Euclid, John Bascombe Lock - Euclid's Elements - 1892 - 167 pages
...from A, B, C, respectively ; prove that DA=EB=FC. Proposition 26. PART I. 54. If two triangles have two angles of the one equal to two angles of the other, each to each, and also the sides adjacent to the equal angles equal, the two triangles are equal in...
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Elementary Synthetic Geometry

George Bruce Halsted - Geometry - 1896 - 164 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,...
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Euclid's Elements of Geometry, Books 1-6

Henry Martyn Taylor - 1893 - 504 pages
...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,...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893
...the number of hits 1 00 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...
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Annual Report of the Department of Education

New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893
...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...
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Annual Report of the Chief Superintendent of Education

1894
...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...
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894
...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...
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Plane and Spherical Trigonometry

Alfred Hix Welsh - Plane trigonometry - 1894 - 206 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 - 1895 - 657 pages
...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 ABC,...
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 pages
...= 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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