| 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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