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
| Queensland. Department of Public Instruction - Education - 1890
...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.... | |
| Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 pages
...the line joining two alternate vertices of a given length. 7. Prove that 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. 8. In a right-angled triangle, show... | |
| Euclid - Geometry - 1890 - 400 pages
....-. a AC = a BF. (/3) is true. EUCLID Proposition 15. THEOREMS — (a) Triangles of equal area which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional : (/3) and conversely, if two triangles... | |
| 1891
...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. NB — Female candidates will receive... | |
| Euclid - Geometry - 1892 - 518 pages
...sides at E, F: shew that the triangle AEF is a mean proportional between the triangles FED, EDC. 2. **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... | |
| Great Britain. Education Department. Department of Science and Art - 1894
...to attempt more than eight question*. The values attached to the questions are shown in brackets. 1. **If two triangles have one angle of the one equal to...and the sides about these equal angles proportional,** show that the triangles are similar, and that those angles which are opposite corresponding sides are... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 pages
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. **If two triangles have one angle of the one equal to one angle of the other, and the** including sides proportional, the triangles are similar. Given AA^d, A2B2C2, such that ZG! = Z C2 and... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 pages
...respectively parallel or perpendicular to the sides of the other, they are similar. (Why ?) Theorem 9. **If two triangles have one angle of the one equal to one angle of the other, and the** including sides proportional. the triangles are similar. Given A A1 B1d, A2B2C2, such that Z d = Z... | |
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