 | Henry Martyn Taylor - 1893 - 486 σελίδες
...and E be taken, 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,... | |
 | 1894 - 832 σελίδες
...as many misses 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 be equal... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 σελίδες
...to draw 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... | |
 | Alfred Hix Welsh - 1894 - 228 σελίδες
...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 - 708 σελίδες
...and E be taken, 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 the one equal to the side adjacent to the angles in the other,... | |
 | 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
...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 - 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... | |
 | 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,... | |
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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. 
