| 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,... | |
| Henry Martyn Taylor - 1895 - 657 pages
...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 - Geometry - 1895 - 320 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 - 320 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 - 50 pages
...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... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 354 pages
...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... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 354 pages
...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,... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 354 pages
...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... | |
| James Howard Gore - Geometry - 1898 - 210 pages
...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... | |
| Seymour Eaton - 1899 - 340 pages
...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 that are equal,... | |
| |