...straight lines ordinately applied to that BOOK i. diameter, touches the parabola. This is """"Y"*"'^ manifest from cor. 1. PROP. XII. THEOR. If from a...of the diameter and the latus rectum of the axis. »#*i* ,' (N. .B. An ah$cLssa is the segment interSn,niLj q,. f. ol MJW* °. v;I , ; t; centra betwixt...

...drawn two straight lines, one of which is perpendicular to a diameter, and the other cuts the circle; the square of the perpendicular is equal to the rectangle contained by the whole cutting line and the part without the circle, together with .the rectangle contained by the...

...drawn two straight lines, one of which is perpendicular to a diameter, and the other cuts the circle ; the square of the perpendicular is equal to the rectangle contained by the whole cutting line and the part without the circle, together with the rectangle contained by the...

...in a parabola a perpendicular be drawn to any diameter, and also, from the same point, an ordinate to that diameter ; the square of the perpendicular is equal to the rectangle contained by the absciss of the diameter and the parameter of the axis. Let P be a point in a parabola, DK any diameter,...

...parts. 8. If a perpendicular be drawn from the right angle of a right-angled triangle to the hypotenuse, the square of the perpendicular is equal to the rectangle contained by the segments of the hypotenuse. 9. If the base of a triangle be bisected, the sum of the squares of...

...point in a Parabola a perpendicular be drawn to any diameter, and also from the same point an ordinate to that diameter, the square of the perpendicular is equal to the rectangle contained by the absciss of the diameter and the parameter of the axis. •36. — If CD any diameter of a Parabola...

...drawn two straight lines, one of which is perpendicular to a diameter, and the other cuts the circle : the square of the perpendicular is equal to the rectangle contained by the whole cutting line, and the part without the circle, together with the rectangle contained by the...