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 - Page 326by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
| 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,... | |
| 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
...PROB. B. THEOR. s«eN«e. IF an angle of a triangle be bisected by a straight line, which likewise **cuts the base ; the rectangle 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
...the sectors. 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...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
..... A-'' ••" •.' Se'N. 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.** * 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,... | |
| John Playfair - 1819 - 354 pages
...&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...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... | |
| 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 - Circle-squaring - 1819 - 350 pages
...&c. Q, ED 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 of the triangle** ist equal to the rectangle contained by the segments of the base, together with the square of the straight... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...circles, &c. QED PROP. B- THEOREM. If an angle of a triangle be bisected by a straight line which likewise **cuts the base ; 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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