| Mathematics - 1836 - 488 pages
...have the sectors. B. 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, to. gether with the square of the straight line bisecting the angle. C. If... | |
| Andrew Bell - Euclid's Elements - 1837 - 290 pages
...PROPOSITION B. THEOREM. 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 bisecting the angle. Let ABC... | |
| Euclid, James Thomson - Geometry - 1837 - 410 pages
...circles, &c. PROP. B. THEOR. 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 bisecting the angle. Let ABC... | |
| John Playfair - Euclid's Elements - 1837 - 332 pages
...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 segments of the base, together with the square of the stra ght line bisecting the angle. Let ABC... | |
| Euclides - 1838 - 264 pages
...QE o. PROP. B. THEOR. Jf 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 toith the square of the straight line which bisects the angle. Let... | |
| Robert Simson - Geometry - 1838 - 434 pages
...&c. QED PROP. B. THEOR. 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 bisecting the angle.* Let ABC... | |
| William Desborough Cooley - Geometry - 1840 - 106 pages
...; 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... | |
| Euclides - Geometry - 1841 - 378 pages
...&c. QED PROP. B. THEOR. 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 bisecting the angle. Let ABC... | |
| John Playfair - Euclid's Elements - 1842 - 332 pages
...DA=BD.DC, therefore BA.AC = BD.DC +DA2. PROP. C. THEOR. If from any angle of a triangle a straight line be **drawn perpendicular to the base ; the rectangle contained...triangle, and AD the perpendicular from the angle A to the** bake BC ; the rectangle BA.AC is equal to the rectangle contained by AD and the diameter of the circle... | |
| Euclides - 1842 - 316 pages
...&c. QED EUC. B. VI. OF GEOMETRY. 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** equivalent to the rectangle contained by the perpendicular and the diameter of the circle described... | |
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