 | John Playfair - 1806 - 320 Seiten
...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 Seiten
...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 Seiten
...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 line,...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... | |
 | John Mason Good - 1813 - 714 Seiten
...circumferences on which they stand have to one another : so also have the sectors. Prop. B. Theor. If an angle of a triangle be bisected by a straight line,...the square of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangles straight line be drawn perpendicular to the base;... | |
 | Euclides - 1814 - 560 Seiten
...in equal circles, &c. QED Boox VI. ' ..,[_.s ^^ / PROP. B. THEOR. .. A-'' ••" •.' Se'N. IF an angle of a triangle be bisected by a straight line...square of the straight line, bisecting the angle. * 5.4. Describe the circle3 ACB about the triangle, and proLet ABC be a triangle, and let the angle... | |
 | Euclides - 1816 - 588 Seiten
...&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,... | |
 | Daniel Cresswell - 1819 - 486 Seiten
...AD*. PROP. LVI. 65. 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. Let ABC be a A , and... | |
 | John Mason Good - 1819 - 800 Seiten
...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 - 1825 - 616 Seiten
...triangle be bisected by a straight line, which also cuts the base, the rectangle, contained by the •ides of the triangle, is equal to the rectangle contained...the square of the straight line bisecting the angle. \ I A" I. TH. If from any angle of a triangle a straight line be drawn perpendicular to the base, the... | |
 | Peter Nicholson - 1825 - 1046 Seiten
...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 line...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... | |
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If the vertical angle of a triangle be bisected by a straight line which also cute 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... 
