| Great Britain. Parliament. House of Commons - 1859 - 140 sider
...to one and similar to another given rectilineal figure. 4. If from the vertical angle of a triangle **a straight line be drawn perpendicular to the base,...diameter of the circle described about the triangle.** 5. Given the perimeter and the angles of a triangle ; required to construct it geometrically. Required... | |
| Sandhurst roy. military coll - 1859 - 672 sider
...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 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. If... | |
| 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 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. 9.... | |
| Robert Potts - 1860 - 380 sider
...square on AD. Wherefore, if an angle, &c. UKI). PROPOSITION C. THEOREM. If from any angle of a triangle, **a straight line be drawn perpendicular to the base...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 sider
...BD • DC, together with the square on AD. PROPOSITION C. THEOREM. If from any angle of a triangle **a straight line be drawn perpendicular to the base,...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 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 - 396 sider
...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 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 - 260 sider
...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 sider
...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... | |
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