| Euclides - 1855
...geometers. PROP. B. THEOREM If any 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. Let... | |
| 1855
...mean ratio. 3. If an angle of a triangle he bisected by a straight line which likewise cuts the hase, **the rectangle contained by the sides of the triangle is equal to the rectangle contained by** the segments of the ha;e, together with the square of the straight line which bisects the angle. SECT.... | |
| Euclides - 1855
...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 si mil at to the whole triangle, and to one another. Eaon of the... | |
| Cambridge univ, exam. papers - 1856
...equal to another given rectilineal figure. 6. 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.** The rectangle contained by the two sides can never be less than twice the triangle. EUCLID. BOOKS I.... | |
| 1856
...compounded of the ratios of their sides. 3. If from any angle of a triangle a straight line be drawn **perpendicular to the base, the rectangle contained...the perpendicular, and the diameter of the circle** deseribed about the triangle. SECT. II. — I . If the line bisecting the vertical angle of a triangle... | |
| Elias Loomis - Conic sections - 1857 - 226 pages
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected by a line which cuts **the base, the rectangle contained by the sides of the triangle, is** equivalent to the rectangle contained by the segments of the. base, together with the square of the... | |
| Elias Loomis - Conic sections - 1858 - 234 pages
...external segments. PROPOSITION XXIX. THEOREM. If an angle of a triangle be bisected by a line which cuts **the base, the rectangle contained by the sides of the triangle, is** equivalent to the rectangle contained by the segments of the. base, together with the square of the... | |
| Great Britain. Parliament. House of Commons - Legislation - 1859
...another given rectilineal figure. 4. If from the vertical angle of a triangle a straight line be drawn **perpendicular to the base, the rectangle contained...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 - 1869 pages
...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
...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.... | |
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