 | Sandhurst roy. military coll - 1859 - 672 sider
...find the radius of the circle. 2. If an angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides...base together with the square of the straight line which bisects the angle. If BAG be the triangle, AD the bisecting line, E the point in which AD meets... | |
 | Thomas Stantial - 1859 - 352 sider
...triangles of the same circle. 8. If an angle of a triangle be bisected by a straight line which also cuts the base, the rectangle contained by the sides...base, together with the square of the straight line which bisects the angle. 9. Given the sum of the sides of a triangle and the angles at the base, to... | |
 | Great Britain. Parliament. House of Commons - 1859 - 140 sider
...rectilineal figure. 4. If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular, and the diameter of the circle described about the triangle. 5. Given the perimeter... | |
 | Euclides - 1860 - 288 sider
...the whole circumference. If an angle of a triangle be bisected by a straight line, -which likewise cuts the base, the rectangle contained by the sides...the segments of the base, together with the square on the straight line bisecting the angle. Given a triangle ABC, and the angle BAC bisected by the straight... | |
 | Robert Potts - 1860 - 380 sider
...PROPOSITION C. THEOREM. If from any angle of a triangle, a straight line be drawn perpendicular to the base ; the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. Let ABC be a triangle,... | |
 | War office - 1861 - 260 sider
...and 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...base, together with the square of the straight line which bisects the angle. 5. If a solid angle be contained by three plane angles, any two of them are... | |
 | War office - 1861 - 714 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...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. The sides of a right-angled... | |
 | Euclides - 1861 - 464 sider
...PROPOSITIONS. PROP. B. — ТBEOK. If an angle of a triangle be bisected by a st. line which likewise cuts the base; the rectangle contained by the sides of the triangle is equal to tie rectangle contained by the segments of the base, together with the square of the st. line which... | |
 | Woolwich roy. military acad - 1861 - 572 sider
...the base, or the base produced, the difference of the square on this line and the square on the side of the triangle, is equal to the rectangle contained by the segments of the base. 6. If two parallel planes be cut by another plane their common sections with it are parallels. A pyramid... | |
 | Woolwich roy. military acad - 1864 - 588 sider
...in the pentagon FDEGC. 11. If from any angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of...the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle described about the triangle. If ABC be the triangle,... | |
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If from the vertical angle of a triangle a straight line be drawn perpendicular to the base, the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular and the diameter of the circle... 
