| Euclides - 1834 - 518 pages
...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 - 540 pages
...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 - Euclid's Elements - 1836 - 488 pages
...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... | |
| Mathematics - 1836 - 366 pages
...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... | |
| 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... | |
| 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... | |
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