| Cambridge univ, exam. papers - 1856 - 252 pages
...and 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 - 376 pages
...ratio 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 - 242 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 - 256 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 - Bills, Legislative - 1859 - 140 pages
...to 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... | |
| Thomas Stantial - Examinations - 1859 - 352 pages
...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.... | |
| Sandhurst roy. military coll - 1859 - 672 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... | |
| Robert Potts - Geometry, Plane - 1860 - 380 pages
...if an angle, &c. UKI). PROPOSITION C. THEOREM. If from any angle of a triangle, a straight line be **drawn perpendicular to the base ; the rectangle contained...AD the 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... | |
| Euclides - 1860 - 288 pages
...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, the rectangle contained...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 - 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... | |
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