 | Robert Simson - 1806 - 546 pagine
...rectangle BD, DC, together with the square of AD. Wherefore, if an angle, &c. 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... | |
 | John Playfair - 1806 - 320 pagine
...therefore BA. AC = BD.DC -f DA«» f 35. 3. Wherefore, if an angle, &c. QED 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... | |
 | Euclid - 1810 - 554 pagine
...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 pagine
...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 pagine
...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 pagine
...But ED.DA = BD.DC, therefore BA.AC = BD.DC + DAa. Wherefore, if an angle, &c. Q,.^k 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,... | |
 | Daniel Cresswell - 1819 - 446 pagine
...X AC = ED X DA + AD* : But (E. 35. 3.) ID X DA = BD X DC ; .-. BA X AC AD\ PHOP. LVI. 65. 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 the rectangle contained by the perpendicular... | |
 | John Mason Good - 1819 - 800 pagine
...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 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... | |
 | Peter Nicholson - 1825 - 1046 pagine
...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 to the base ; the rectangle contained by the sides of the triangle is equal to the rectangle contained by the perpendicular... | |
 | Euclid, John Playfair - 1826 - 326 pagine
...ED.DA= •vBD.DC, therefore BA.AC = BD.DC + DA3. Wherefore, if an angle, We. Jg. ED • PROP. C. THEOR. If from any angle of a triangle a straight line be drawn perpendieular to the base ; the reetangle eontained by the sides of the triangle is equal to the reetangle... | |
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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. 
