| John Playfair - Mathematics - 1806 - 320 pages
...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 - Trigonometry - 1806 - 546 pages
...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 - Geometry - 1810 - 554 pages
...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 pages
...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 pages
...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 pages
...&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 - Geometry - 1819 - 486 pages
...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 pages
...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 - Euclid's Elements - 1825 - 616 pages
...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 - Mathematics - 1825 - 1046 pages
...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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