 | Euclides - 1834
...an angle, PROPOSITION C. TREOn. — If from any angle of a triangle a straight line be S«r N. drawn perpendicular to the base, the rectangle contained...AD the perpendicular from the angle A to the base ItC : the rectangle HA, AC shall be equal to the rectangle contained by AD and the diameter of the... | |
 | Euclid - 1835 - 513 sider
...PROP. B. THEOR. See N. 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 - 1836 - 311 sider
...if an angle, &c. QED PROP. C. THEOR. Book VI. 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 descri: bed about the triangle. \Let ABC be a triangle, and AD the perpendicular from the angle A to... | |
 | 1836 - 335 sider
...inside or outside. 21. 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. 22. The... | |
 | 1836 - 472 sider
...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 - 1837 - 240 sider
...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 - 1837 - 390 sider
...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 - 1837 - 318 sider
...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
...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... | |
 | William Desborough Cooley - 1840 - 94 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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Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical 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... 
