 | Euclides - 1860 - 288 pagina’s
...the square on AD. PROPOSITION C. THEOREM. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained...diameter of the circle described about the triangle. Given a triangle ABC, and AD the perpendicular from the angle A to the base BC ; to prove that the... | |
 | John Playfair - 1860 - 334 pagina’s
...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... | |
 | Eucleides - 1860 - 396 pagina’s
...triangle is isosceles. The rectangle under the sides of the triangle is equal to the rectangle under the perpendicular and the diameter of the circle described about the triangle. The triangles on each side of it are similar to the whole triangle, and to one another. The perpendicular... | |
 | War office - 1861 - 714 pagina’s
...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...diameter of the circle described about the triangle. The sides of a right-angled triangle are 1*5 and 2 feet respectively, find, without the use of Trigonometry,... | |
 | War office - 1861 - 260 pagina’s
...equiangular pentagon. 4. 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 of the straight line which bisects the angle. 5.... | |
 | Euclides - 1861 - 464 pagina’s
...AG2 = BG . GC ,xi B А . AC PROP. C.— THEOR. If from any angle of a triangle a st. line be drawn perpendicular to the base ; the rectangle contained by the sides of the triangk is equal to the rectangle contained by the perpendicular and the diameter of the circle described... | |
 | Robert Potts - 1863 - 482 pagina’s
...intersection may be inscribed in a circle. 5. If from any angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained...diameter of the circle described about the triangle. 6. From each of -two opposite angular points of a parallelogram lines are drawn to the points of bisection... | |
 | Euclides - 1864 - 448 pagina’s
...base ; the rectangle contained bg the sides of the triangle is equal to the rectangle contained bg the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle, and AD the perpendicular from the angle A to the base BC. The rectangle .B.4, ACshull be... | |
 | Woolwich roy. military acad - 1864 - 588 pagina’s
...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 by the segments of the base together with the square of the straight line which bisects the angle. ACB... | |
 | Robert Potts - 1865 - 528 pagina’s
...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 by the segments of the base, together with the square on the straight line which bisects tlw angle. Let... | |
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Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM 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... 
