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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. "
An Easy Introduction to the Mathematics: In which the Theory and Practice ... - Page 281
by Charles Butler - 1814
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 370 pages
...sides are proportional and the triangles are similar. 261 Ax. I QED 263. COR. I. If two triangles have two angles of the one equal to two angles of the other, the triangles are similar. ~^~L 264. COR. II. If two straight lines are cut by a series of parallels,...
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Elements of Geometry

Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 376 pages
...homologous sides are proportional and the triangles are similar. 261 QED 263. COR. I. If two triangles have two angles of the one equal to two angles of the other, the triangles are similar. 64. COR. II. If two straight lines are cut by a series of parallels, the...
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Elements of Geometry

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...
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Plane and Solid Geometry

James Howard Gore - Geometry - 1898 - 232 pages
...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...
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Mathematics: Mechanic's bids and estimates. Mensuration for beginners. Easy ...

Seymour Eaton - 1899 - 362 pages
...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,...
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New Plane Geometry

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...
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A Text-book of Euclid's Elements for the Use of Schools. Books I and II, Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 330 pages
...obtuse or acute, according as AB is greater or less than AC. PROPOSITION 26. THEOREM. If two triangles have two angles of the one equal to two angles of the other, each to each, and a side of one equal to a side of the other, these sides being either adjacent to the equal angles,...
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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900 - 686 pages
...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...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900 - 580 pages
...other. If AC, BD intersect then their sum is greater than the sum of AB and DC. 8. 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 adjacent to equal angles...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 568 pages
...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...
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