 | Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 σελίδες
...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... | |
 | 1895 - 142 σελίδες
...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... | |
 | 1897 - 154 σελίδες
...cn the same arc. Deduce that all angles in the same segment of a circle are equal to one another. 4. If two triangles have one angle of the one equal to one angle of tt;e oiher, and the sides about the equal angles proportionals, shew that the triangles are similar.... | |
 | 1899 - 802 σελίδες
...circle. Shew that the area of the hexagon is threefourths that of the regular circumscribed hexagon. 3. If two triangles have one angle of the one equal to...about the equal angles proportionals, the triangles are similar. If the perpendicular from the vertex of a triangle to the base falls within the triangle... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 265 σελίδες
...the sides of the other, they are similar. PLANE GEOMETRY. [BK. IV. 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. Given AA^Ci, A2B2C2, such that Z Cl = Z (72... | |
 | Wooster Woodruff Beman, David Eugene Smith - 1899 - 400 σελίδες
...parallel or 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 that Z... | |
 | Edinburgh Mathematical Society - 1899 - 340 σελίδες
...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.... | |
 | Great Britain. Education Department. Department of Science and Art - 1899 - 348 σελίδες
...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... | |
 | Great Britain. Board of Education - 1900 - 906 σελίδες
...inscribed in the smaller circle. 7. Define the terms submultiple, ratio, homologous, duplicate ratio. 8. If two triangles have one angle of the one equal to...equal angles proportionals, the triangles shall be similar. 4333. M In a given straight line PQ a point M is taken and PQ is produced to 0 so that MO... | |
 | Great Britain. Board of Education - 1900 - 566 σελίδες
...inscribed in the smaller circle. 7. Define the terms submultiple, ratio, homologous, duplicate ratio. 8. If two triangles have one angle of the one equal to...equal angles proportionals, the triangles shall be similar. In a given straight Hue PQ a point M is taken and PQ is produced to Ü so that MO is a mean... | |
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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. 
