If two triangles have one angle of the one equal to one angle of the other, and the sides about the equal angles proportionals, the triangles shall be equiangular, and shall have those angles equal which are opposite to the homologous sides. A Shorter Geometry - Page xviLimited preview - About this book
| 1903 - 896 pages
...that the square on DE is equal to twice the rectangle contained by the radii of the two circles. 4. **If two triangles have one angle of the one equal to one** an^le of the other, and the sides about the equal angles proportionals, show that the triangles are... | |
| University of Sydney - 1904 - 680 pages
...iu-radius and the circum-radius respectively measure 1 ft. and " ft. 1 in. 7. Equal triangles, which **have one angle of the one equal to one angle of the other,** have their sides about the equal angles reciprocally proportional. 8. Find the weight of a conical... | |
| Euclid - Euclid's Elements - 1904 - 488 pages
...first. [Book vi. Def. 4.] PROPOSITION 14. THEOREM. Parallelograms 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. Conversely, parallelograms which... | |
| 1905 - 212 pages
...the tangent. ((/) About a given circle circumscribe a triangle equiangular to a given triangle. (e) **If two triangles have one angle of the one equal to one angle of the other, and the sides about** the equal angles proportionals, the triangles are similar. '2. ABCD, AEFG are two squares so placed... | |
| 1906 - 502 pages
...; Failed, 21 ; Total, 94. The work in this Stage quite reaches the standard of last year. A. Q. 41. **If two triangles have one angle of the one equal to one angle of the other, and the sides about** the equal angles proportionals, show that the triangles are equiangular to one another, and that those... | |
| 1907 - 608 pages
...rectilineal figure which shall be similar to one, and equal to another given rectilineal figure. 4. **If two triangles have one angle of the one equal to one angle of the other, and the sides about** the equal angles proportionals ; the remaining angles are equal, each to each, viz., those which are... | |
| University of New Zealand - 1907 - 422 pages
...parallel to one side of a triangle, the other sides are divided proportionally; and the converse. It' **two triangles have one angle of the one equal to one angle of the other, and the sides about** their equal angles proportional, the triangles are similar. The internal bisector of an angle of a... | |
| University of Allahabad - 1908 - 568 pages
...converse. If two triangles are equiangular, their corresponding ģidee are proportional ; and the converse. **If two triangles have one angle of the one equal to...angle of the other, and the sides about these equal** angleĢ proportional, the triangles are similar. The internal bisector of an angle of a triangle divides... | |
| Great Britain. Education Department. Department of Science and Art - 1908 - 328 pages
...angles ABC, DEF are equal, and the angles ACB, DFE are supplementary ; show that AB : DE = AC: DF. **If two triangles have one angle of the one equal to one angle of the other, and the sides about** one other angle in each proportional, so that the sides opposite equal angles correspond, show that... | |
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