| Great Britain. Education Department. Department of Science and Art - 1894
...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 one angle of the other,** and the sides about these equal angles proportional, show that the triangles are similar, and that... | |
| 1895
...circle. Being given a side of a regular pentagon, construct it. 4. Triangles which are equal in area, and **which have one angle of the one equal to one angle...about the equal angles reciprocally proportional.** Describe an isosceles triangle equal in area to a given triangle and having an angle equal to one of... | |
| Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 Seiten
...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... | |
| Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 Seiten
...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!... | |
| Great Britain. Education Department. Department of Science and Art - 1899
...meeting AB in D and AC in E, so that DP may be a fourth part of PE. Dl 44. Prove that equal triangles, **which have one angle of the one equal to one angle of the other, have** the sides about the equal angles reciprocally proportional ; and state and prove the converse of this... | |
| Edinburgh Mathematical Society - 1899
...CD be joined, the triangles EAB, DAC are halves of the parallelograms BE, CD. Hence, Two triangles **which have one angle of the one equal to one angle of the other have** to each other the same ratio as the rectangles contained by the sides about the equal angles. LIST... | |
| Wooster Woodruff Beman, David Eugene Smith - 1899 - 252 Seiten
...perpendicular to the sides of the other, they are similar. PROPOSITION XVIII. 264. Theorem. 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. C, Given A A1B^i, AJB^C2, such that... | |
| Wooster Woodruff Beman, David Eugene Smith - 1899 - 382 Seiten
...perpendicular to the sides of the other, they are similar. PROPOSITION XVIII. 264. Theorem. 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. A, Bi Given A AiBiCi, A^B2C^, such... | |
| Euclid, Micaiah John Muller Hill - 1900 - 143 Seiten
...sides about the equal angles reciprocally proportional, are equal in area. 49. (i) Equal triangles **which have one angle of the one equal to one angle...about the equal angles reciprocally proportional.** (ii) Triangles which have one angle in the one equal to one angle in the other and the sides about... | |
| University of Toronto - 1900
...angle of the other, have their sides about the equal angles reciprocally proportional ; and 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. Use this... | |
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