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 equiangular, and shall have those angles equal which are opposite to the homologous sides. A Shorter Geometry - Page xviLimited preview - About this book
| GEORGE BRUCE HALSTED - 1885
...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 : : FG : GH. CONCLUSION. A ABC... | |
| 1886
...two given circles. How many common tangents can be drawn to two circles which cut one another ? 4. **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 to the homologous sides... | |
| George Bruce Halsted - Geometry - 1886 - 366 pages
...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 : : FG : GH. CONCLUSION. A AB... | |
| Canada. Department of the Interior - 1888
...figures. 13. Triangles and parallelograms having equal bases are to one another as their altitudes. 14. **If two triangles have one angle of the one equal to one angle of** tho other, the triangles are to each other in the ratio of the rectangles under the sides containing... | |
| 1889
...respectively equal they are similar, and those sides which are opposite to the equal angles are homologous. **If two triangles have one angle of the one equal to one angle of the other, and** a second angle of the one supplementary to a second angle of the other, then the sides about the third... | |
| New Brunswick. Board of Education - Education - 1889
...and those which are opposite to the equal angles are homologous sides. 6. Equal parallelograms which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. N. В.- --Female candidates will... | |
| E. J. Brooksmith - Mathematics - 1889
...are the middle points ofAB, CD, prove that PQ_ is parallel to AC and BD. 10. 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 ; and, conversely, triangles which... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...the rectangle contained by the sides about the other, the triangles are equal. (ii.) Conversely: — **If two triangles have one angle of the one equal to one angle of the other,** the rectangle contained by the sides about one of those angles is equal to the rectangle contained... | |
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