 | John Playfair - Mathematics - 1806 - 320 pages
...EF, so is the seetolh BGC to the sector EHFb. Wherefore, in equal circles, -&c. QED PROP. B. THEOR. IF an angle of a triangle be bisected by a straight...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAG be bisected... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...so is the sector BGC to the sector EHF. Wherefore, in equal circles, &c. QED PROP. B. THEOR. See N. IF an angle of a triangle be bisected by a straight...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected... | |
 | 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...the segments of the base, together with the square of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangles straight... | |
 | Euclides - 1816 - 588 pages
...BbofcVT, **-v-' 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 segments of the base, together with the square of the straight line, bisecting the angle. Let ABC be a triangle, and let the angle BAG be bisected... | |
 | John Mason Good - 1819 - 800 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...contained by the segments of the base, together with the sijuare of the straight line bisecting the angle. Prop. C. Theor. If from any angle of a triangle a... | |
 | Daniel Cresswell - Geometry - 1819 - 486 pages
...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...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC_be a A, andjet the L BAC be bisected by AD-, then... | |
 | 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...segments of the base, together •with the square of the straight line bisecting the angle* Let ABC be a triangle, and let the angle BAC be bisected... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...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 line bisecting the angle. Let ABC be a triangle, and let the angle BAC be bisected... | |
 | Daniel Cresswell - Euclid's Elements - 1825 - 616 pages
...triangle be bisected by a straight line, which also cutis the base, the rectangle, contained by the sidea of the triangle. is equal to the rectangle contained...the segments of the base, together with the square of the straight line bisecting the angle. Let ABC be a triangle, and let the / BAC be bi_A sected by... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...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 line bisecting the angle. straight line AD ; the rectangle BA, AC... | |
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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... 
