| 1903 - 896 pages
...is at right angles to the straight line joining the middle points of AD and BC. 3. Show that if two **triangles have one angle of the one equal to one angle of the other, and the sides about** another angle of each proportional, the sides opposite the equal angles being homologous, the third... | |
| 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
...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...about the equal angles proportionals, the triangles** are similar. '2. ABCD, AEFG are two squares so placed that the angles at A coincide. Show that A, F,... | |
| 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...and the sides about the equal angles proportionals,** show that the triangles are equiangular to one another, and that those angles are equal which are opposite... | |
| 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...the sides about the equal angles proportionals ; the** remaining angles are equal, each to each, viz., those which are opposite to the homologous sides. 5.... | |
| University of Allahabad - 1907 - 528 pages
...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... | |
| University of Calcutta - Universities and colleges - 1907 - 458 pages
...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... | |
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