 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.  Science Examination Papers - Page 50by Great Britain. Education Department. Department of Science and Art - 1899Full view - About this book
 | Education - 1902 - 942 pages
...side of the larger pentagon is equal to the sum of a side and a diagonal of the smaller pentagon. 5. 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. 12, ABCD is a trapezium in which AB is... | |
 | 1903 - 898 pages
...right angles to the straight line joining the middle points of AD and BC. 3. Show that if two triangles have one angle of the one equal to one angle of the other, and the sides about another angle of each proportional, the sides opposite the equal angles being homologous,... | |
 | Charles Godfrey, Arthur Warry Siddons - Geometry - 1903 - 384 pages
...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,... | |
 | Olaus Henrici, George Charles Turner - Graphic statics - 1903 - 236 pages
...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... | |
 | University of Sydney - 1904 - 680 pages
...ft. ; prove that 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 of the other, have their sides about the equal angles reciprocally proportional. 8. Find the weight of a conical piece... | |
 | Euclid - Euclid's Elements - 1904 - 488 pages
...angle of the other, have their sides about the equal angles reciprocally proportional. Conversely, triangles 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. C Let the A" CAB, EAD... | |
 | 1905 - 212 pages
...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... | |
 | 1906 - 502 pages
...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... | |
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