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 - Euclid's Elements - 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... | |
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