| Wooster Woodruff Beman, David Eugene Smith - 1895 - 344 sider
...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 sider
...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 sider
...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 - 824 sider
...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 - 400 sider
...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... | |
| Wooster Woodruff Beman, David Eugene Smith - 1899 - 265 sider
...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... | |
| Great Britain. Education Department. Department of Science and Art - 1899 - 348 sider
...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... | |
| Edinburgh Mathematical Society - 1899 - 342 sider
...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. Board of Education - 1900 - 568 sider
...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... | |
| Great Britain. Board of Education - 1900 - 906 sider
...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... | |
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