 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...  Modern geometry [ed.] with an appendix by W.B. Jack - Side 242av Richard Wormell - 1876Uten tilgangsbegrensning - Om denne boken
 | Cambridge univ, exam. papers - 1856 - 200 sider
...another. Shew that each of the complements of the parallelograms is a mean proportional between them. 6. If an angle of a triangle be bisected by a straight...the rectangle contained by the sides of the triangle ia equal to the rectangle contained by the segments of the base, together with the square of the straight... | |
 | Cambridge univ, exam. papers - 1856 - 252 sider
...given rectilineal figure. 6. 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. The rectangle contained... | |
 | 1856 - 376 sider
...ratios of their sides. 3. 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 deseribed about the triangle. SECT. II. — I . If... | |
 | Elias Loomis - 1857 - 242 sider
...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 - 1858 - 256 sider
...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 - 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... | |
 | Thomas Stantial - 1859 - 352 sider
...mean proportional between the inscribed and circumscribed equilateral 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... | |
 | Sandhurst roy. military coll - 1859 - 672 sider
...pentagon in a given circle. Given the side of the pentagon, 10 feet, 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 of the triangle is equal to the rectangle... | |
 | Robert Potts - 1860 - 380 sider
...sector BGCto the sector EHF. (v. def. 5.) Wherefore, in equal circles, &c. QED PROPOSITION B. THEOREM. If an angle of a triangle be bisected by a straight...likewise cuts the base ; the rectangle contained by the tides of the triangle is equal to the rectangle contained by the segments of the base, together with... | |
 | John Playfair - 1860 - 334 sider
...the 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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