 | Robert Potts - 1860 - 380 σελίδες
...angle, &c. UKI). PROPOSITION C. THEOREM. If from any angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained...perpendicular from the angle A to the base BC. The rectangle .B^, AC shall be equal to the rectangle contained by AD and the diameter of the circle described about... | |
 | Euclides - 1860 - 288 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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 σελίδες
...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...perpendicular from the angle A to the base BC. The rectangle .B.4, ACshull be equal to the rectangle contained by AD and the diameter of the circle described about... | |
 | Woolwich roy. military acad - 1864 - 588 σελίδες
...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... | |
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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... 
