 | Euclides, James Hamblin SMITH - 1876 - 382 pagina’s
...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 pagina’s
...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 - 1876 - 446 pagina’s
...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 pagina’s
...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 - 1877 - 458 pagina’s
...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 - 1877 - 262 pagina’s
...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 pagina’s
...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 - 1879 - 282 pagina’s
...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 pagina’s
...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 pagina’s
...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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If the vertical angle of a triangle be bisected by a straight line which also cute 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... 
