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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.
The Elements of Euclid; viz. the first six books, together with the eleventh ... - Side 153
av Euclides - 1814
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Elementary Geometry: Practical and Theoretical

Charles Godfrey, Arthur Warry Siddons - 1903 - 384 sider
...§AB, OQ = J5 AC ; join PQ ; measure L.' P, Q, and compare them with L.' B, C. =o fig. 313. THEOREM 5. 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. fig. 314. Data ABC, DEF are two triangles...
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The School World: A Monthly Magazine of Educational Work and Progress, Volum 5

1903 - 692 sider
...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. The internal bisector of an angle of a...
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Interim Report of the Commissioners on Certain Parts of Primary Education ...

...pentagon is equal to the sum of a side and a diagonal of the smaller pentagon. 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. A BCD is a trapezium in which Л...
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Manual

1903
...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, Bok 1

Euclid - 1904 - 488 sider
...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 sider
...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 sider
...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...about the equal angles proportionals, the triangles are similar. '2. ABCD, AEFG are two squares so placed that the angles at A coincide. Show that A, F,...
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Science Examinations ... Reports, Etc

1906 - 502 sider
...; 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...and the sides about the equal angles proportionals, show that the triangles are equiangular to one another, and that those angles are equal which are opposite...
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The New International Encyclopaedia, Volum 18

Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - 1906 - 936 sider
...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 »ides proportional, the triangles are similar. If two triangles have their sides proportional,...
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Annual Report of the Commissioners ..., Volum 73

1907 - 608 sider
...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...the sides about the equal angles proportionals ; the remaining angles are equal, each to each, viz., those which are opposite to the homologous sides. 5....
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