Wherefore, in equal circles &c. QED PROPOSITION B. THEOREM If the vertical 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 rectangle contained by the... A Supplement to the Elements of Euclid - Page 367by Daniel Cresswell - 1819 - 410 pagesFull view - About this book
| John Playfair - Mathematics - 1806 - 320 pages
...-&c. QED 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 is equal to the rectangle contained by the segments of the base, together with the square of the straight line bisecting the angle. Let ABC... | |
| Robert Simson - Trigonometry - 1806 - 546 pages
...PROP. B. THEOR. See N. 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 rectangle contained by the segments of the base, together with the square of the straight line bisecting the angle. Let ABC... | |
| 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
...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 of...the triangle is equal to the rectangle contained by the segments of the base, together with the square of the straight line bisecting the angle. Prop.... | |
| Euclides - 1816 - 588 pages
...PRO*. Bl THEOR. Se«N. Ip an angle of a triangle be bisected by a straight line whieh likewise 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 of the straight line, bisecting the angle. Let ABC... | |
| John Playfair - 1819 - 354 pages
...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 contained by the segments of the base, together •with the square of the straight line bisecting the angle* Let... | |
| Peter Nicholson - Mathematics - 1825 - 1046 pages
...together with the square of AD. Wherefore, if an angle, &c. QE D PROP C. THEOREM. If from an ansie of a triangle a straight line be drawn perpendicular...rectangle contained by the perpendicular and the diameter ofutt circle described about the triangH Let ABC be a triangle, and AD the perpendicular from the angle... | |
| John Playfair - Euclid's Elements - 1832 - 358 pages
...+DA». But ED.DA= BD.DC, therefore BA.AC=BD.DC+ DA", Wherefore, if an angle, &c. QED PROP. C. THEOR. If from any angle of a triangle a straight line be...the triangle is equal to the rectangle contained by the perpen dicular, and the diameter of the circle described about the tri angle. Let ABC be a triangle,... | |
| Euclid - 1835 - 540 pages
...PROP. B. THEOR. See N. 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 rectangle contained by the segments of the base, together with the square of the straight line bisecting the angle. Let ABC... | |
| Mathematics - 1836 - 488 pages
...have the sectors. B. 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 rectangle contained by the segments of the base, to. gether with the square of the straight line bisecting the angle. C. If... | |
| |