| New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...the common pump. 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 obtuse,... | |
| New Brunswick. Board of Education, New Brunswick. Department of Education - 1893
...the common pump. 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, both obtuse,... | |
| Great Britain. Education Department. Department of Science and Art - 1894
...to attempt more 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 those angles... | |
| Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 páginas
...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... | |
| Wooster Woodruff Beman, David Eugene Smith - 1895 - 320 páginas
...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 AA^d, A2B2C2, such that ZG! = Z C2 and... | |
| 1895
...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
...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.... | |
| Wooster Woodruff Beman, David Eugene Smith - 1899 - 252 páginas
...respectively 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. C, Given A A1B^i, AJB^C2, such that Z Ci =... | |
| Great Britain. Education Department. Department of Science and Art - 1899
...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
...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.... | |
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