 | Euclides - 1814 - 560 pages
...EC is equal to the rectangle BE, ED. Wherefore, if two straight lines, &e. 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 cuts the circle, and the part... | |
 | Euclides - 1816 - 588 pages
...circle there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle, be equal to the square" of the line which meets" it," the line which meets it shall touch the circle.... | |
 | John Playfair - Circle-squaring - 1819 - 350 pages
...GE.EH; therefore AE.EC = BE.ED. Wherefore, if two straight lines, &c. AV QED -^ PROP. XXXVI. THEOR. If from, any point without a circle two straight lines...the circle, and the part of it without the circle, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and... | |
 | John Mason Good - 1819 - 800 pages
...circle liiere be drawn two straight hues, one of which cuts the circle, und the oilier meets it ; if the rectangle contained by the whole line which cuts the circle, and the part of it without »he circle he equal to the square of Ihelinrwhich meet» it, the line which meets shall touch the... | |
 | 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 line which... | |
 | Miles Bland - Euclid's Elements - 1819 - 442 pages
...and .-. EH, HF together are equal to EI L e. to GB or CD the diameter of the circle. (78.) .f from a point without a circle two straight lines be drawn, one of which touches and the other cuts the circle ; a line drawn from the same point in any direction, equal to... | |
 | Miles Bland - Euclid's Elements - 1819 - 444 pages
...and .-. EH, HF together are equal to EI ie to GB or CD the diameter of the circle. (78.) If from a point without a circle two straight lines be drawn, one of which touches and the other cuts the circle ; a line drawn from the same jmint in any direction, equal to... | |
 | Euclid, Robert Simson - Geometry - 1821 - 514 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...which cuts the circle, and the part of it without the circlei shall be equal to the square of the line which touches it. Let D be any point without the circle... | |
 | Peter Nicholson - Mathematics - 1825 - 1046 pages
...circle there be drawn two straight line« one of which cuts the circle, and the other meets it j if the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle be equal to the square of ihe line which meets it, the line which meets shall touch the circle. Let... | |
 | George Lees - 1826 - 266 pages
...circle, there be drawn two straight lines, one of which cuts the circle, and the other meets it ; if the rectangle contained by the whole line which cuts...the circle, and the part of it without the circle, be equivalent to the square of the line which meets it, the line which meets also touches the circle.... | |
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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... 
