 | Euclides - 1834 - 518 pages
...Wherefore, if 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... | |
 | Robert Simson - Trigonometry - 1835 - 544 pages
...square of AD. Wherefore, " if an angle," &c. QED PROP. C. THEOR. See N. If from any angle of a triangle a straight line be drawn perpendicular to the base...from the angle A to the base BC; the rectangle BA, AC is'equal to the rectangle contained by AD, and the diameter of the circle described about the triangle.... | |
 | 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
...BA.AC=BD.DC + DAS- Wherefore, 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 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 - 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | Euclid - Geometry - 1838 - 470 pages
...AD. Wherefore, if an angle, &.c. QED PROP. C. THEOR. Ir from any angle of a triangle a straight fine be drawn perpendicular to the base ; the rectangle...angle A to the base BC ; the rectangle BA, AC is equal to the rectangle contained by AD and the diameter of the circle described about the triangle. • See... | |
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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... 
