 | Henry Martyn Taylor - 1895 - 708 σελίδες
...angle of a triangle 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 - 1895 - 344 σελίδες
...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 - 1895 - 346 σελίδες
...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 —... | |
 | George Albert Wentworth - 1896 - 68 σελίδες
...of a triangle is 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 to an acute angle... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1897 - 374 σελίδες
...the homologous 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, the... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1897 - 376 σελίδες
...Hence the 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 corresponding... | |
 | Andrew Wheeler Phillips, Irving Fisher - 1897 - 374 σελίδες
...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 corresponding... | |
 | James Howard Gore - 1898 - 232 σελίδες
...their sum, the 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 angle. 84. COR. 5.... | |
 | Seymour Eaton - 1899 - 362 σελίδες
...EDF. And it has 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 the other, each to each, and one side equal to one side, namely, either the side which is adjacent to the angles... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 272 σελίδες
...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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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. 
