| Robert Potts - 1860 - 361 sider
...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
...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 - 317 sider
...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
...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 - 12 sider
...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
...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
...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
...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
...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
...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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