 If from the vertical 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...  A Supplement to the Elements of Euclid - Side 366av Daniel Cresswell - 1819 - 410 siderUten tilgangsbegrensning - Om denne boken
 | Robert Simson - 1827 - 546 sider
...QED PROP. C. THEOR. If 'from any angle of a triangle a straight line be drawn See N. 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,... | |
 | John Playfair - 1832 - 358 sider
...circles, &c. QED PROP. B. THEOR. Ifyn angle of a triangle be bisected by a straight line, which likewise cuts the base; the rectangle contained by the sides...equal to the rectangle contained by the segments of (he base, together with the square of the straight line bisecting the angle. Let ABC be a triangle,... | |
 | Euclides - 1834 - 518 sider
...PROPOSITION B. See N. THEOn. — If an angle of a triangle be bisected by a straight line which likewise cuts the base, the rectangle contained by the sides...rectangle contained by the segments of the base, together irith the square of the straight line tvhicli bisects the angle. Let ABC be a triangle, and let the... | |
 | Euclid - 1835 - 540 sider
...QED PROP. C. THEOR. &* N. 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,... | |
 | 1836 - 366 sider
...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 sider
...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 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...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 sider
...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 sider
...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... | |
 | Robert Simson - 1838 - 434 sider
...circles, &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...square of the straight line bisecting the angle.* Let ABC be a triangle, and let the angle BAC be bisected by the straight line AD ; the rectangle BA, AC... | |
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