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" 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 t}le sides adjacent to the equal... "
A companion to Euclid: being a help to the understanding and remembering of ... - Page 24
by Euclides - 1837 - 88 pages
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Annual Report of the Chief Superintendent of Education

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)...
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Examination Papers for Science Schools and Classes

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...
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Elements of Geometry

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...
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Elements of Geometry, Volume 1

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....
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Plane Geometry

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...
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Elements of Geometry, Part 1

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....
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Elements of Geometry

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...
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On the Study and Difficulties of Mathematics

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...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

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...
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Annual Report of the Commissioners ..., Volume 65

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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