| 1894 - 832 pages
...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 in all respects. 12 (6)... | |
| Great Britain. Education Department. Department of Science and Art - 1894 - 894 pages
...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... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 564 pages
...Hence the homologous sides are proportional and the triangles are similar. § 274 QED 276. COR. I. **If two triangles have two angles of one equal to two angles of the other,** they are similar. #77. COR. II. If two straight lines are cut by a series of parallels, the corresponding... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...angle O AB, and angle Oba = angle OB A. §§48,49 Therefore the triangle aOb is similar to AOB. § 276 **[If two triangles have two angles of one equal to two angles of the other,** they are similar.] In the same way the triangles bOc and cOd are similar respectively to BOC and COD.... | |
| George D. Pettee - Geometry, Plane - 1896 - 272 pages
...Cor. II. Any angle of a triangle is the supplement of the sum of the other two angles. 84. Cor. III. **If two triangles have two angles of one equal to two angles of the other,** the third angles are equal. 85. Cor. IV. In any triangle there can be but one right angle or one obtuse... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...Hence the homologous sides are proportional and the triangles are similar. § 274 QED :",t>. COR. I. **If two triangles have two angles of one equal to two angles of** tht other, they are similar. Hint. —\.A MN and M'ff be cut by the parallels AA', BE, CC, and DD.... | |
| Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...A'B'D1 are similar, since B and B' are equal angles, and ADB and A'D'B' are both right angles. § 263 **[If two triangles have two angles of one equal to two angles of the** o1her, they are similar.] Then *D_= **_. §261 A'D' A'B' But, since the triangles ABC and A' B'C are... | |
| Augustus De Morgan - Mathematics - 1898 - 316 pages
...angles made by the first and second pair are equal. d All right angles are equal. e Two triangles which **have two angles of one equal to two angles of the other,** and the interjacent sides equal, are equal in all respects. /, g Parallelograms on the same or equal... | |
| Seymour Eaton - 1899 - 362 pages
...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, or a side which is opposite... | |
| 1899 - 972 pages
...perpendicular drawn to 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.... | |
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