 | Edinburgh Mathematical Society - 1899 - 340 pagina’s
...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.... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 272 pagina’s
...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 - 400 pagina’s
...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... | |
 | Great Britain. Education Department. Department of Science and Art - 1899 - 348 pagina’s
...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... | |
 | Euclid, Micaiah John Muller Hill - 1900 - 165 pagina’s
...another triangle and the included angles are equal, then the triangles are similar. 29. If two triangles have one angle of the one equal to one angle of the other, and the sides about one other angle in each proportional in such a manner that the sides opposite to... | |
 | Great Britain. Board of Education - 1900 - 566 pagina’s
...smaller circle. 7. Define the terms submultiple, ratio, homologous, duplicate ratio. 8. 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 similar. In a given straight... | |
 | Macmillan & Co - 1901 - 802 pagina’s
...addition, . a + b+e+ ... x+y+z+ ... or a:x 338 EUCLID'S ELEMENTS. PROPOSITION 6. THEOREM. 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 similar. In the A' BAG,... | |
 | Thomas Franklin Holgate - 1901 - 462 pagina’s
...right angle which make equal angles with one of the sides. MISCELLANEOUS EXERCISES 1. 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... | |
 | 1902 - 942 pagina’s
...pentagon is equal to the sum of a side and a diagonal of the smaller pentagon. 5. 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. 12, ABCD is a trapezium in which... | |
 | 1902 - 716 pagina’s
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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. 
