 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 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 - 232 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 - 362 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,... | |
 | Wooster Woodruff Beman, David Eugene Smith - Geometry, Modern - 1899 - 272 pages
...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... | |
 | 1899 - 972 pages
...it from the opposite angle. 6. Two triangles are equal in every respect if they have two angles of one equal to two angles of the other, each to each, and a side of 'OIK equal to the side of the other similarly placed with respect to the equal angles. B.... | |
 | Great Britain. Board of Education - Boys - 1900 - 566 pages
...EXAMINATION, 1899. EUCLID. 1. Define a plane angle, a rhombus, and similar segments of circles. 2. If two triangles have two angles of the one equal to two angles of the other each to each, and the sides opposite to one of the equal angles in each equal, then the triangles are equal in all respects.... | |
 | Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...EXAMINATION, 1899. EUCLID. 1. Define a plane angle, a rhombus, and similar segments of circles. 2. If two triangles have two angles of the one equal to two angles of the other each to each, and the sides opposite to one of the equal angles in each equal, then the triangles are equal in all respects.... | |
 | Manitoba. Department of Education - Education - 1900 - 558 pages
...point without, it. Why must the length of the given straight line be supposed to be unlimited ? 4. If two triangles have two angles of the one equal to two angles of the other each to each, and one side of the one equal to one side of the other, the equal sides being opposite to equal angles... | |
 | Euclid, Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...equal to two right angles. QED From this Proposition we draw the following important inferences. 1 . If two triangles have two angles of the one equal to two angles of the other, each to each, then the third angle of the one is equal to the third angle of the other. 2. In any right.angled triangle... | |
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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. 
