 | Olaus Henrici, George Charles Turner - 1903 - 236 Seiten
...the theorem is that of Euc. VI. vi., from which the general case follows at once. " 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 shall be similar." For if one triangle... | |
 | Charles Godfrey, Arthur Warry Siddons - 1903 - 384 Seiten
...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,... | |
 | University of Sydney - 1904 - 680 Seiten
...the 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...about the equal angles reciprocally proportional. 8. Find the weight of a conical piece of metal, whose height is 3 ft., and the radius of its base 2... | |
 | Euclid - 1904 - 488 Seiten
...angle of the other, have their sides about the equal angles reciprocally proportional. Conversely, parallelograms which have one angle of the one equal to one angle of the other, and the sides about these angles reciprocally proportional, are equal in area. L GC Let the parm" AB,... | |
 | 1905 - 212 Seiten
...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... | |
 | Daniel Coit Gilman, Harry Thurston Peck, Frank Moore Colby - 1906 - 936 Seiten
...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... | |
 | 1906 - 502 Seiten
...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... | |
 | 1907 - 608 Seiten
...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,... | |
 | University of Allahabad - 1907 - 528 Seiten
...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... | |
 | University of Calcutta - 1907 - 458 Seiten
...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... | |
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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. 
