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... The Elements of Euclid - Side 145av Euclid - 1838 - 416 siderUten tilgangsbegrensning - Om denne boken
| 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
...vert. ¿ CAF, 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
...their 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...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... | |
| Euclides - 1865
...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... | |
| Euclid, Isaac Todhunter - 1867 - 400 sider
...B. THEOREM. Jf 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 segments of the base, together with the square on the straight line which bisects the angle. Let... | |
| Euclid, Isaac Todhunter - 1867 - 400 sider
...PROPOSITION B. THEOREM. l/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** (he rectangle contained by the segments of the base, together with the square on the straight line... | |
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