 | John Playfair - Geometry - 1860 - 334 pages
...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 pages
...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 pages
...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 pages
...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 pages
...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 - 482 pages
...which they will form by their intersection may be inscribed in a circle. 5. If from any angle of a triangle, a straight line be drawn perpendicular to...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 pages
...with the square on AD. Wherefore, if an angle, &c. QED PROPOSITION C. THEOREM. If from ang angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained bg the sides of the triangle is equal to the rectangle contained bg the perpendicular and the diameter... | |
 | Woolwich roy. military acad - 1864 - 588 pages
...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 pages
...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... | |
 | Euclides - 1865 - 402 pages
...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... | |
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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. 
