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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. either the sides adjacent to the equal... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 26
av Euclides - 1853
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Plane and Solid Geometry

Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 sider
...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 - 1895 - 320 sider
...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 - 1896 - 50 sider
...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 - 1897 - 354 sider
...sides are proportional and the triangles are similar. § 261 Ax. I QED 263. COR. I. If two triangles have two angles of the one equal to two angles of the other, the triangles are similar. ~^~L 264. COR. II. If two straight lines are cut by a series of parallels,...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 sider
...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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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - 1897 - 354 sider
...sides are proportional and the triangles are similar. § 261 QED 263. COR. I. If two triangles hare two angles of the one equal to two angles of the other, the triangles are similar. 264. COR. II. If two straight lines are cut by a series of parallels, the...
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Plane and Solid Geometry

James Howard Gore - 1898 - 210 sider
...third angle can be found by subtracting this sum from two right angles. 82. COR. 3. If two triangles have two angles of the one equal to two angles of the other, the third angles are equal. 83. COR. 4. A triangle can have but one right angle, or but one obtuse...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 sider
...been proved that the angle BAC is not equal to the angle EDF. PROPOSITION 26. THEOREM If two triangles have two angles of the one equal to two angles of...other, each to each, and one side equal to one side, namely, either the side which is adjacent to the angles that are equal, or a side which is opposite...
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - 1899 - 252 sider
...mean proportional between EF and EG. PROPOSITION XVII. 263. Theorem. Two triangles are similar if they have two angles of the one equal to two angles of the other, respectively. 0 A> A, Given the & A&d, A 2 B 2 d, with ZA 1 = ZA l , Zd = ZC 2 . To prove that A A...
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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - 1899
...that AC is at right angles to the other diagonal BD. (12.) 8. If two triangles have two angles of tho one equal to two angles of the other, each to each, and the side adjacent to the angles in the one equal to the side adjacent to the angles in the other, show...
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