 | George Bruce Halsted - 1885 - 389 σελίδες
...equal.) therefore, by 491, GH = BH'. In the same way HF = H'F', THEOREM VII. 511. Two triangles having one angle of the one equal to one angle of the other, and the sides about these angles proportional, are similar. HYPOTHESIS. £ B = £ G, and AB : BC :... | |
 | George Bruce Halsted - 1886 - 394 σελίδες
...equal.) therefore, by 491, GH = BH'. In the same way HF = H'F', THEOREM VII. 511. Two triangles having one angle of the one equal to one angle of the other, and the sides about these angles proportional, are similar. HYPOTHESIS. £ B = $. G, and AB : BC :... | |
 | Association for the Improvement of Geometrical Teaching - 1888 - 208 σελίδες
...intercepted between the sides of each triangle are equal to one another. THKOR. 3. If two triangles have one angle of the one equal to one angle of the other and the sides about these angles proportional, they are similar, and those angles which are opposite... | |
 | New Brunswick. Board of Education - 1889 - 1004 σελίδες
...proportionals, the rectangle contained by the extremes is equal to the rectangle contained by the means. fi. 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. NB — Female Candidates will receive credit... | |
 | E. J. Brooksmith - 1889 - 356 σελίδες
...of the other, have their sides about the equal angles reciprocally proportional ; and, conversely, triangles which have one angle of the one equal to one angle of the other, and their sides about the equal angles reciprocally proportional, are equal to one another. n. From... | |
 | Queensland. Department of Public Instruction - 1890 - 526 σελίδες
...contained by the segments of the base. What is the corresponding proposition for the external bisector ? 8. Triangles which have one angle of the one equal to one angle of the other, have to one another the ratio which is compounded of the ratios of the sides about the equal angles. 9.... | |
 | Edward Mann Langley, W. Seys Phillips - 1890 - 538 σελίδες
...of the other have their sides about the equal angles reciprocally proportional. (2) Conversely : — Triangles which have one angle of the one equal to one angle of the other and their sides about the equal angles reciprocally proportional are equal to one another. (1) Let... | |
 | Royal Military College, Sandhurst - 1890 - 144 σελίδες
...an equilateral triangle is one-third of that of any one of the escribed circles. 5. If two triangles have one angle of the one equal to one angle of the other, and the sides about two other angles proportionals ; then, if each of the remaining angles be either... | |
 | Euclid - 1890 - 442 σελίδες
...= ac : aS. .-. A CSA is simr. to A cS a, by vi. 6. 254 Proposition 6. THEOREM — If two triangles have one angle of the one equal to one angle of the other, and the sides about these angles proportional, the triangles are similar ; and those angles which are... | |
 | 1891 - 718 σελίδες
...IM GEOMETRY. Time, 1 hr. SO mm. 1 or 2 and all the rest make a full paper. 1. («) If two triangles have one angle of the one equal to one angle of the other, and the sides about a second angle in each equal ; then if the third angle in each be both acute, both... | |
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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. 
