| Euclides - 1884 - 434 pagina’s
...to that included by them. If from the vertical angle of a triangle a perpendicu1ar be drawn to tJie base, the rectangle contained by the sides of the...by the perpendicular and the diameter of the circle circumscribed about the triangle. A Let ABC be a triangle, AD the perpendicular from A on the base... | |
| Woolwich roy. military acad - 1884 - 148 pagina’s
...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 pagina’s
...divisions of this paper.) I. — 1. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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 pagina’s
...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.... | |
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