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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, viz. either the sides adjacent to the equal... "
The First Six Books: Together with the Eleventh and Twelfth - Page 200
by Euclid - 1781 - 520 pages
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Examination Papers for Science Schools and Classes

Great Britain. Education Department. Department of Science and Art - 1894
...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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Annual Report of the Chief Superintendent of Education

1894
...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...
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Elements of Geometry: Plane geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896
...angle Oba = angle OBA. 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 - 253 pages
...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

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 540 pages
...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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On the Study and Difficulties of Mathematics

Augustus De Morgan - Mathematics - 1898 - 288 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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Annual Report of the Commissioners ..., Volume 65

1899
...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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Science Examination Papers

Great Britain. Education Department. Department of Science and Art - Examinations - 1899
...that AC is at right angles to the other diagonal BD. (12.) 8. If two triangles have two angles of tho one equal to two angles of the other, each to each, and the side adjacent to the angles in the one equal to the side adjacent to the angles in the other, show...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 340 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,...
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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900
...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....
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