If from a point without a circle there be 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... Elements of the Conic Sections - Page 20by Robert Simson - 1809 - 177 pagesFull view - About this book
| Robert Simson - Conic sections - 1817 - 298 pages
...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... | |
| Miles Bland - Euclid's Elements - 1819 - 444 pages
...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... | |
| Miles Bland - Euclid's Elements - 1819 - 442 pages
...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... | |
| William Wallace - Conic sections - 1837 - 248 pages
...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,... | |
| Euclides - Geometry - 1853 - 176 pages
...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... | |
| S. A. Renshaw - Conic sections - 1875 - 220 pages
...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... | |
| Royal Military College, Sandhurst - Mathematics - 1890 - 144 pages
...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... | |
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