| 1836 - 366 σελίδες
...the 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...the square of the straight line bisecting the angle. 22. The perimeters of similar rectilinear figures are in the simple ratio, and the areas in the duplicate... | |
| 1836 - 488 σελίδες
...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... | |
| John Playfair - 1837 - 332 σελίδες
...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...segments of the base, together with the square of the stra ght line bisecting the angle. Let ABC be a triangle, and let the angle BAG be bisected by the... | |
| Euclid, James Thomson - 1837 - 410 σελίδες
...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,... | |
| Andrew Bell - 1837 - 290 σελίδες
...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... | |
| Euclides - 1838 - 264 σελίδες
...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,... | |
| William Desborough Cooley - 1840 - 106 σελίδες
...; 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... | |
| John Playfair - 1842 - 332 σελίδες
...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 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 - 1842 - 316 σελίδες
...to sectors. 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 equivalent to the rectangle contained by the segments of the base, together with the square of the... | |
| Euclid - 1845 - 218 σελίδες
...PROPOSITION 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,... | |
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