| Robert Simson - Trigonometry - 1806 - 548 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,... | |
| 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,... | |
| Euclid - Geometry - 1810 - 554 pages
...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 - 592 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,... | |
| John Playfair - Circle-squaring - 1819 - 348 pages
...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 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... | |
| John Playfair - 1819 - 354 pages
...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... | |
| Daniel Cresswell - Geometry - 1819 - 486 pages
...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... | |
| Peter Nicholson - Mathematics - 1825 - 1058 pages
...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 - Trigonometry - 1827 - 546 pages
...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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