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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. "
An Elementary Treatise on the Geometrical and Algebraical Investigation of ... - Side 16
av Daniel Cresswell - 1817 - 436 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 angle. 84....
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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...
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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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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...
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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...
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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...
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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...
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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....
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 384 sider
...ABC to A DEF so that B falls on C, and BC falls along EF. Do the two triangles coincide ? THEOREM 11. 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...
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Manual

1903 - 898 sider
...exactly half way between A and B. Find the distance from A to B. GEOMETRY. Time: two hours. 1. Show that if two triangles have two angles of the one equal to two angles of the other, each to each, and any side of the first equal to the corresponding side of the other, then the triangles...
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