| Woolwich roy. military acad - 1884 - 148 sider
...parallel. 11. If the vertical angle of a triangle be bisected by a straight line, which likewise cuts **the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by** the segments of the base, together with the square on the straight line which bisects the angle. II.... | |
| 1885 - 522 sider
...satisfactorily in each of the three divisions of this paper.) I. — 1. If from the vertical angle of a triangle **a straight line be drawn perpendicular to the base,...diameter of the circle described about the triangle.** 2. Prove that the tangent to a parabola at any point is the bisector of the angle which the focal distance... | |
| John James Milne - 1885 - 392 sider
...cos (A - £)}. 5. If the vertical angle of a triangle be bisected by a straight line which also cuts **the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by** two lines equally inclined to the bisector, one terminated by the base and the other by the rircum-uircle.... | |
| Euclides - 1885 - 340 sider
...extended to each of the escribed circles of the triangle ACB. 5. The rectangle contained by two sides of a **triangle is equal to the rectangle contained by the perpendicular and the diameter of the** circumscribed circle. For, let CE be the diameter. Join AE. Then the triangles ACE, DCB are equiangular... | |
| Euclid, John Casey - 1885 - 340 sider
...extended to each of the escribed circles of the triangle ACB. 6. The rectangle contained by two sides of a **triangle is equal to the rectangle contained by the perpendicular and the diameter of the** circumscribed circle. For, let CE be the diameter. Join AE. Then the triangles ACE, DCB are equiangular... | |
| 1887 - 644 sider
...circumscribing circle. 15. If the vertical angle of a triangle be bisected by a straight line which also cuts **the base, the rectangle contained by the sides of the triangle is equal to** that contained by the segments of the base together with the square on the straight line which bisects... | |
| E. J. Brooksmith - 1889 - 356 sider
...areas of the triangles AGB, FGE. n. If an angle of a triangle be bisected by a straight line which cuts **the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by** the segments of the base, together with the square of the straight line which bisects the angle. If... | |
| Edward Mann Langley, W. Seys Phillips - 1890 - 538 sider
...PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight line which likewise cuts **the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by** the segments of the base, together with the square on the straight line bisecting the angle. Let L... | |
| 1890 - 714 sider
...similar to a given triangle. 3. If the vertical angle of a triangle be bisected by a line which cuts **the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by** the segments of the base, together with the square on the straight line which bisects the angle. 4.... | |
| Royal Military College, Sandhurst - 1890 - 144 sider
...double of AB. 6. If the vertical angle of a triangle be bisected by a straight line which likewise cuts **the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by** the segments of the base, together with the square on the straight line which bisects the angle. 7.... | |
| |