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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. "
Elements of geometry, containing the first two (third and fourth) books of ... - Page 17
by Euclides - 1871
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New Plane Geometry

Wooster Woodruff Beman, David Eugene Smith - Geometry, Plane - 1899 - 252 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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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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Annual Report of the Commissioners ..., Volume 65

1899
...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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Sessional Papers, Volume 22, Part 2

Great Britain. Parliament. House of Commons - Great Britain - 1900
...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...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. Through...
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Preparatory Schools for Boys: Their Place in English Secondary Education

Great Britain. Board of Education - Boys - 1900 - 531 pages
...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...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. Through...
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Report of the Department of Education for the Year ...

Manitoba. Department of Education - Education - 1900
...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...
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A Text-book of Euclid's Elements for the Use of Schools, Books I.-IV., Book 1

Henry Sinclair Hall, Frederick Haller Stevens - Euclid's Elements - 1900 - 304 pages
...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

University of Sydney - 1902
...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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Manual

1903
...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 are equal in...
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 355 pages
...together less than two right angles. COR. 4. Every triangle has at least two of its angles acute. COR. 5. If two triangles have two angles of the one equal to two angles of the other, each to each, then the third angles are also equal. COR. 6. The sum of the angles of a quadrilateral is equal to...
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