 | Euclid - 1892 - 460 σελίδες
...angle of the other, /iave 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. Let the As ABC, ADE... | |
 | New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 800 σελίδες
...IM GEOMETRY. Time, 1 hr. 30 win. 1 or 2 and all tlie rest make a full paper. 1. (a) 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... | |
 | New Brunswick. Board of Education, New Brunswick. Department of Education - 1893 - 806 σελίδες
...IM GEOMETRY. Time, 1 hr. 30 min. 1 or 2 and all the rest make a full paper. 1. (a) 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,... | |
 | Great Britain. Education Department. Department of Science and Art - 1894 - 894 σελίδες
...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 - 142 σελίδες
...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 of the other, have their sides about the equal angles reciprocally proportional. Describe an isosceles triangle equal in area... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 346 σελίδες
...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!... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 σελίδες
...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... | |
 | Great Britain. Education Department. Department of Science and Art - 1899 - 348 σελίδες
...straight line 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 - 340 σελίδες
...If BE and 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 - 400 σελίδες
...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... | |
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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. 
