 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
 | John Playfair - 1829 - 210 sider
...degrees, and an obtuse angle by an arch which is greater than 90 degrees. PROPOSITION E. THEOREM. SIMSQN. If an angle of a triangle be bisected by a straight line which cuts the opposite side, the square of that line together with the rectangle contained by the segments... | |
 | John Playfair - 1832 - 358 sider
...EF, so is the sector BGC to the sector EHF. Wherefore, in equal circles, &c. QED PROP. B. THEOR. Ifyn angle of a triangle be bisected by a straight line,...equal to the rectangle contained by the segments of (he base, together with the square of the straight line bisecting the angle. Let ABC be a triangle,... | |
 | Euclid - 1835 - 540 sider
...QED PROP. C. THEOR. &* N. 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,... | |
 | 1836 - 488 sider
...line bisecting the angle. C. 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. D. The rectangle contained... | |
 | Andrew Bell - 1837 - 290 sider
...AD. 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. Describe (IV. 5) the... | |
 | Euclid, James Thomson - 1837 - 410 sider
...if an exterior angle, &c. PROP. D. THEOR. IF from an angle of a triangle a perpendicular be drawn 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,... | |
 | John Playfair - 1837 - 332 sider
...5.) as the arc BC, is to the arc EF, so is the sector BGC to the sector EHF. 149 . PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likewise cuts the Lose; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the... | |
 | Euclides - 1838 - 264 sider
...fi. ED PROP. C. THEOR. 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,... | |
 | Euclides - 1840 - 82 sider
...joins the points of section, will be parallel to the remaining side of the triangle. PROP. III. THEOR. If an angle of a triangle be bisected by a straight line which also cuts the base, the segments of the base shall be proportional to the other sides of the triangle;... | |
 | William Desborough Cooley - 1840 - 106 sider
...; consequently, AD'AF = AF2+BF'FC, and since BA'AC =AD'AF, it follows, that BA'AC = AP + BF'FC, or the rectangle contained by the sides of the triangle, is equal to the square of the line bisecting the contained angle, together with the rectangle under the segments of... | |
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