| Eldred John Brooksmith, Robert Moir Milne - 1890 - 132 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... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 515 pages
...parallelograms as in VI. 23, ||gm AC : ||gm CF :: rect. BC, CD : rect. EC, CG. Ex. 717. — Triangles which **have one angle of the one equal to one angle of the other** are to one another in the ratio compounded of the ratios of the sides containing the equal angles.... | |
| Euclid - Geometry - 1890 - 400 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... | |
| Queensland. Department of Public Instruction - Education - 1890
...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
...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... | |
| Education - 1893
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| Great Britain. Education Department. Department of Science and Art - 1894
...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... | |
| Wooster Woodruff Beman, David Eugene Smith - Geometry - 1895 - 320 pages
...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... | |
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