| 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... | |
| 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... | |
| 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... | |
| 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... | |
| University of Calcutta - Universities and colleges - 1907 - 458 pages
...converse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. **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. If a polygon is divided into triangles... | |
| University of Allahabad - 1907 - 528 pages
...co/iverse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. **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. The internal bisector of an angle of a... | |
| 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... | |
| |