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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... "
Elements of Geometry;: Containing the First Six Books of Euclid, with Two ... - Side 18
av Euclid, John Playfair - 1795 - 400 sider
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Plane and Solid Geometry

James Howard Gore - 1898 - 232 sider
...their sum, the 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 sider
...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, or...
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - 1899 - 272 sider
...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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Annual Report of the Commissioners ..., Volum 65

1899 - 972 sider
...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 - 1899 - 348 sider
...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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Report of the Department of Education for the Year ...

Manitoba. Department of Education - 1900 - 558 sider
...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 in each...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - 1900 - 566 sider
...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 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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Sessional Papers, Volum 22,Del 2

Great Britain. Parliament. House of Commons - 1900 - 686 sider
...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 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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A Text-book of Euclid's Elements for the Use of Schools. Books I.-VI ..., Bok 1

Euclid, Henry Sinclair Hall, Frederick Haller Stevens - 1900 - 330 sider
...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...
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Calendar of the University of Sydney

University of Sydney - 1902 - 640 sider
...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...
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