 | Euclides - 1842 - 316 σελίδες
...BAC : angle DEF :: вc : DF. The same reasoning applies to sectors. PROP. B. THEOR. IF an angle of a triangle be bisected by a straight line, which likewise...rectangle contained by the sides of the triangle is equivalent to the rectangle contained by the segments of the base, together with the square of the... | |
 | John Playfair - 1842 - 332 σελίδες
...the arc BC, is to the arc EF, so is the sector BGC to the sector EHF. 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 J>f 'the triangle is equal to the rectangle contained by the segments of the base, together with the... | |
 | Euclid, James Thomson - 1845 - 382 σελίδες
...exterior angle, &c. PROP. D. THEOR. — If from an angle of a triangle a perpendicular be drawn 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. * From this proposition... | |
 | Euclid - 1845 - 218 σελίδες
...PROPOSITION 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. Let ABC be a triangle,... | |
 | Euclides - 1845 - 546 σελίδες
...QED PROPOSITION C. THEOREM. 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 Ike rectangle contained by the perpendicular and the diameter of the circle described about the triangle.... | |
 | Euclides - 1846 - 292 σελίδες
...BGC to the sector EHF. Wherefore, In equal circles %c. QED PROP. B. THEOR. If the vertical angle of a triangle be bisected by a straight line which likewise...the rectangle contained by the sides of the triangle shall be equal to the rectangle contained by the segments of the base, together with the square of... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...rop 6" PROP. LXXIX. 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. Let ABC be a ^X and... | |
 | Euclid, John Playfair - 1846 - 334 σελίδες
...BD.DC +DA». PROP. C. THEOR. If from any angltofa 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,... | |
 | Dennis M'Curdy - 1846 - 166 σελίδες
...bisect an angle of a triangle, and likewise cut the base ; the rectangle contained by the sides is equal to the rectangle contained by the segments of the base, together with the square of the bisecting line. Given ABC a triangle, and AD a straight line bisecting the angle BAC : then BAX AC=BDX... | |
 | Great Britain. Admiralty - 1846 - 128 σελίδες
...opposite Verniers. PROP. LXXVIII. THEOR. If an angle of a triangle be bisected by a straight line which cuts the base; the rect-angle contained by the sides of the triangle is eyual to the rectangle contained by the seyments of the base, together with, flu Let ABC be a bisect... | |
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If the vertical angle of a triangle be bisected by a straight line which also cute 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 on the straight... 
