 | John Playfair - Mathematics - 1806 - 320 pages
...and BE.ED = GE.EH, AE.EC = BE.ED, Wherefore, if two straight lines, &c. Q. E, D. PROP. XXXVI. THEOR. IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it, the rectangle contained by the whole line which... | |
 | Robert Simson - Trigonometry - 1806 - 546 pages
...EC is equal to the rectangle Bli, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it; the rectangle contained by the whole line which... | |
 | Euclides - 1816 - 588 pages
...EC is equal to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line... | |
 | John Playfair - 1819 - 354 pages
...GE.EH; therefore AE.EC = BE.ED. Wherefore, if two straight lines, &c Q,.ED "B~"G PROP. XXXVI. THEOR. If from any point without a circle two straight lines be drawn, one of •siliich cuts the circle, and the other touches it ; the rectangle contained by the whole... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...equal to the rectangle BE, ED Wherefore, if two straight lines, &c. QED Proposition XXXVI. Theorem. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line... | |
 | Robert Simson - Trigonometry - 1827 - 546 pages
...equal -)- to the rectangle, BE, ED. Wherefore, if two straight lines, &c. QED PROP.. XXXVI. THEOR. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line... | |
 | Euclid - 1835 - 540 pages
...is equal to the rectangle BE, ED. Wherefore, « if two straight lines," &c. QED PROP. XXXVI. THEOR. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line... | |
 | Mathematics - 1836 - 488 pages
...the segments of one of them is equal to the rectangle contained by the segments of the other. XXXVI. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line... | |
 | Euclides - Euclid's Elements - 1837 - 112 pages
...showing that AE x EC and BE x ED are each = GE x EH, and .'. = each other. PROPOSITION XXXVI. Theorem. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it, the rectangle B/ contained by the whole line... | |
 | Euclid, James Thomson - Geometry - 1837 - 410 pages
...AE.EC is equal to the rectangle BE.ED. If, therefore, two chords of a circle, &c. PROP. XXXVI. THEOR. IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line... | |
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IF from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle contained by the whole line which cuts the circle, and the part of it without the circle,. shall be equal to the square... 
