 | John Playfair - 1860 - 334 páginas
...the sector PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewse cuts the base; the rectangle contained by the sides of the triangle is equal to th« rectangle contained by the segments of the base, together with the square of the straight line... | |
 | Euclides - 1861 - 464 páginas
...p. 253. SUBSIDIARY PROPOSITIONS. PROP. B. — ТBEOK. If an angle of a triangle be bisected by a st. line which likewise cuts the base; the rectangle contained by the sides of the triangle is equal to tie rectangle contained by the segments of the base, together with the square of the st. line which... | |
 | War office - 1861 - 714 páginas
...square that lies without the circle. 2. If from any angle of a triangle a perpendicular be let fall on 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. The sides of a right-angled... | |
 | Woolwich roy. military acad - 1864 - 588 páginas
...AD cutting the given circle in P, prove PD and PB each equal to the radius of the given circle. 11. If an angle of a triangle be bisected by a straight line that cuts the base, the rectangle containedby the sides of the triangle is equal to the rectangle contained... | |
 | Robert Potts - 1865 - 528 páginas
...BGC to the sector EHF. (v. def. 5.) Wherefore, in equal circles, &o. cj. ED PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight line which likewise outs the bast ; the rectangle contained by the sides of the triangle is equal to the rectangle contained... | |
 | Euclides - 1865 - 402 páginas
...THEOREM. 7y an angle of a triangle be bisected by a straight tine which lihewise cuts the base ; then the rectangle contained by the sides of the triangle is equal to ihc rectangle contained by the segments of the base, together with the square of the straight line... | |
 | John Playfair - 1855 - 350 páginas
...(def. 5. 5.) as the arc BC is to the arc EF, so is the sector BGC to the sector EHF ; PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewise cats the base; the rectangle contained by the sides of the triangle is equal to the rectangle contained... | |
 | Euclid, Isaac Todhunter - 1867 - 424 páginas
...sector EHF. [V. Definition 5. Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM. l/the vertical angle of a triangle be bisected by a straight line...contained by the sides of the triangle is equal to (he rectangle contained by the segments of the base, together with the square on the straight line... | |
 | Euclid, Isaac Todhunter - 1867 - 426 páginas
...PROPOSITION C. THEOREM. If from the vertical angle of a triangle a straight line lie 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,... | |
 | Robert Potts - 1868 - 434 páginas
...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,... | |
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... 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. 
