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" If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. "
Theoretical Geometry: Based on the Various Geometry Books by Godfrey and Siddons - Page 29
by Arthur Warry Siddons, Reginald Thomas Hughes - 1926 - 173 pages
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Manual

1903 - 898 pages
...that the square on DE is equal to twice the rectangle contained by the radii of the two circles. 4. If two triangles have one angle of the one equal to one an^le of the other, and the sides about the equal angles proportionals, show that the triangles are...
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A Text-book of Euclid's Elements for the Use of Schools, Book 1

Euclid - Euclid's Elements - 1904 - 488 pages
...first. [Book vi. Def. 4.] PROPOSITION 14. THEOREM. Parallelograms which are equal in area, and which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. Conversely, parallelograms which...
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Calendar of the University of Sydney

University of Sydney - 1904 - 680 pages
...iu-radius and the circum-radius respectively measure 1 ft. and " ft. 1 in. 7. Equal triangles, which have one angle of the one equal to one angle of the other, have their sides about the equal angles reciprocally proportional. 8. Find the weight of a conical...
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Calendar, for the Year ...

1905 - 214 pages
...the tangent. ((/) About a given circle circumscribe a triangle equiangular to a given triangle. (e) If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles are similar. '2. ABCD, AEFG are two squares so placed...
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Science Examinations ... Reports, Etc

1906 - 502 pages
...; Failed, 21 ; Total, 94. The work in this Stage quite reaches the standard of last year. A. Q. 41. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, show that the triangles are equiangular to one another, and that those...
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The New International Encyclopaedia, Volume 18

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - Encyclopedias and dictionaries - 1906 - 936 pages
...QVIPRILATKRI LS. one respectively parallel or perpendicular to the sides of the other, they are similar. If two triangles have one angle of the one equal to one angle of the other, and the including ģides proportional, the triangles are similar. If two triangles have their sides proportional,...
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Calendar, Part 1

University of Calcutta - Universities and colleges - 1907 - 458 pages
...converse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. If two triangles have one angle of the one equal to one angle of the other, and the sides about these equal angles proportional, the triangles are similar. If a polygon is divided into triangles...
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Calendar

University of Allahabad - 1907 - 528 pages
...co/iverse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. If two triangles have one angle of the one equal to one angle of the other, and the sides about these equal angles proportional, the triangles are similar. The internal bisector of an angle of a...
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Annual Report of the Commissioners ..., Volume 73

1907 - 608 pages
...rectilineal figure which shall be similar to one, and equal to another given rectilineal figure. 4. If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals ; the remaining angles are equal, each to each, viz., those which are...
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The New Zealand University Calendar, Volume 35

University of New Zealand - 1907 - 422 pages
...parallel to one side of a triangle, the other sides are divided proportionally; and the converse. It' two triangles have one angle of the one equal to one angle of the other, and the sides about their equal angles proportional, the triangles are similar. The internal bisector of an angle of a...
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