| 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 - 974 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. 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...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. Through... | |
| Great Britain. Board of Education - Boys - 1900 - 568 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...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. Through... | |
| Manitoba. Department of Education - Education - 1900 - 580 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... | |
| 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... | |
| University of Sydney - 1902 - 640 pages
...out the axioms specifically relating to straight lines, right angles and parallel straight lines. 2. **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, &c. Complete this enunciation, and prove the proposition. 3. Equal triangles... | |
| 1903 - 898 pages
...exactly half way between A and B. Find the distance from A to B. GEOMETRY. Time: two hours. 1. Show that **if two triangles have two angles of the one equal to two angles of the other, each to each, and** any side of the first equal to the corresponding side of the other, then the triangles are equal in... | |
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