| Euclides, James Hamblin SMITH - 1876 - 382 pages
...ratio as the arcs which sab. tend them ; and so also have the sectors. PROPOSITION B. THEOREM. If an **angle of a triangle be bisected by a straight line,...likewise cuts the base ; the rectangle, contained by** th# sides of the triangle, is equal to the rectangle, contained by the segments of the base, together... | |
| Richard Wormell - 1876 - 268 pages
...angle. . . . . . . 240 C. If from any angle of a triangle a straight line be drawn perpendicular to **the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by** the perpendicular and the diameter of the circle described about the triangle. . . . . . . . . . .... | |
| Robert Potts - Geometry - 1876 - 446 pages
...PROPOSITION C. THEOREM. If from any angle of a triangle, a straight line be drawn perpendicular to **the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by** the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
| Samuel H. Winter - 1877 - 452 pages
...co-efficients of the even terms. 11. If from any angle of a triangle a straight line be drawn perpendicular to **the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by** the perpendicular and the diameter of the circle circumscribing the triangle. Having given n points... | |
| Elias Loomis - Conic sections - 1877 - 458 pages
...external segments. PROPOSITION XXX. THEOREM. . If an angle of a triangle be bisected by a line lehich **cuts the base, the rectangle contained by the sides of the triangle is** equivalent to the rectangle contained by the segments of the base, together with the square of the... | |
| William Frothingham Bradbury - Geometry - 1877 - 262 pages
...quadrilateral inscribed in a circle intersect at right angles. 101. The rectangle contained by two sides of a **triangle is equal to the rectangle contained by the segments of the** third side made by a line bisecting the opposite angle, plus the square of the bisecting line. 102.... | |
| Euclides - 1878 - 398 pages
...ratio as the arcs which subtend them ; and so also have the seciora. PROPOSITION B. THEOREM. If an **angle of a triangle be bisected by a straight line,...rectangle, contained by the sides of the triangle, is** eqvjil to the rectangle, contained by the segments of the base, together with the square on the line... | |
| Isaac Sharpless - Geometry - 1879 - 282 pages
...BA.AC-BD.DC+AD\ Proposition 29. Theorem.—If from any angle of a triangle a perpendicular be drmvn to **the base, the rectangle contained by the sides of...the triangle, is equal to the rectangle contained by** the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
| Sandhurst roy. military coll - 1880 - 68 pages
...inscribed. 6. Triangles and parallelograms of the same altitude are to one another as their bases. 7. If an **angle of a triangle be bisected by a straight line,...base, together with the square of the straight line** which bisects the angle. 8. The angle subtended at the centre of a circle by an arc which is equal... | |
| Oxford univ, local exams - 1880 - 396 pages
...and BE, CD are joined by lines meeting in F. Prove that AF produced bisects BC. 11. If the vertical **angle of a triangle be bisected by a straight line...the segments of the base, together with the square** on the straight line which bisects the angle. 12. If two straight lines be parallel, and one of them... | |
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