 | 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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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. 
