| Euclid - Geometry - 1890 - 442 pages
....-. a AC = a BF. (/3) is true. EUCLID Proposition 15. THEOREMS — (a) Triangles of equal area which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional : (/3) and conversely, if two triangles... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...the line joining two alternate vertices of a given length. 7. Prove that equal parallelograms, which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. 8. In a right-angled triangle, show... | |
| Queensland. Department of Public Instruction - Education - 1890 - 530 pages
...segments of the base. What is the corresponding proposition for the external bisector ? 8. Triangles which **have one angle of the one equal to one angle of the other,** have to one another the ratio which is compounded of the ratios of the sides about the equal angles.... | |
| 1891 - 720 pages
...and those which are opposite to the equal angles are homologous sides. 6. Equal parallelograms which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. NB — Female candidates will receive... | |
| Euclid - Geometry - 1892 - 460 pages
...sides at E, F: shew that the triangle AEF is a mean proportional between the triangles FED, EDC. 2. **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 third... | |
| Queensland. Department of Public Instruction - Education - 1892 - 506 pages
...of equal sides equal : then if the angles opposite to the other pair of equal sides be both acute or **both obtuse, or if one of them be a right angle, the** two triangles are equivalent. 3. If a straight line be divided into two equal and into two unequal... | |
| New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 804 pages
...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...about a second angle in each equal ; then if the third** -angle in each be both acute, both obtuse, or if one of them be a right angle, the triangles are equal... | |
| New Brunswick. Board of Education, New Brunswick. Department of Education - Education - 1893 - 800 pages
...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...about a second angle in each equal; then if the third** angle in each be both acute, both obtuse, or if one of them be a right angle, the triangles are equal... | |
| Great Britain. Education Department. Department of Science and Art - 1894 - 892 pages
...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 which are... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 344 pages
...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... | |
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