 | John Playfair - 1806 - 320 σελίδες
...PROP. C. THEOR. Book VI. 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,... | |
 | Robert Simson - 1806 - 546 σελίδες
...QED PROP. C. THEOR. See 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,... | |
 | Euclid - 1810 - 554 σελίδες
...sector EHF. Wherefore, in equal circles, &c. QED 2 B BookVF. '— > — ' PROB. B. THEOR. s«eN«e. IF an angle of a triangle be bisected by a straight...contained by the sides of the triangle is equal to the reelangle contained by the segments of the base, together with the square of the straight line bisecting... | |
 | Euclides - 1816 - 588 σελίδες
...&c. QED PROP. C. THEOR. . IF from any angle of a trianglte 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,... | |
 | John Playfair - 1819 - 350 σελίδες
...EF, so is the sector BGC to the sector EHF. Wherefore, in equal circles, &c. Q, ED PROP. B. THEOR. If an angle of a triangle be bisected by a straight...the rectangle contained by the sides of the triangle ist equal to the rectangle contained by the segments of the base, together with the square of the straight... | |
 | John Mason Good - 1819 - 800 σελίδες
...the angle. 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. Prop. D. Theor. The... | |
 | Daniel Cresswell - 1819 - 486 σελίδες
...and FL, and it is manifest, that the segment CL is equal to the segment BK. PROP. LV. 64. THEOREM. If an angle of a triangle be bisected by a straight line, which also cuts the base, the rectangle, contained by the sides of the triangle, is equal to the rectangle... | |
 | John Playfair - 1819 - 354 σελίδες
...EF, so is the sector BGC to the sector EHF. Wherefore, in equal circles, &c, Q, ED PROP. B. THEOR. If an angle of a triangle be bisected by a straight line, which likentist cuts the base ; the rectangle contained by the sides of the triangle is equal to the rectangle... | |
 | Peter Nicholson - 1825 - 1046 σελίδες
...EF, so is the sector BGC to the sector EHF. Wherefore, in equal circles, &c. QED PROP. B- THEOREM. If an angle of a triangle be bisected by a straight...the rectangle contained by the sides of the triangle it equal to the rectangle contained by the segments of the base, together tcilh the square of the straight... | |
 | Robert Simson - 1827 - 546 σελίδες
...circumference EF, so is the sector BGC to the sector EHF. Wherefore, in equal circles, lac. QED PROP. B. THEOR. If an angle of a triangle be bisected by a straight line. See N. •which likewise cuts the base ; the rectangle contained ly the sides of the triangle is equal... | |
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... 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 on the straight line which bisects the angle. 
