 | Euclides - 1814
...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 - 528 pągines
...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,...the circle, and the part of it without the circle,. shall be equal to the square of the line which touches it. Let D be any point without the circle ABC,... | |
 | John Mason Good - 1819
...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... | |
 | Miles Bland - 1819 - 377 pągines
...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... | |
 | Miles Bland - 1819 - 377 pągines
...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... | |
 | Euclid, Robert Simson - 1821 - 516 pągines
...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,...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 - 1825 - 372 pągines
...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,...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. Let D be any point without the circle ABC,... | |
 | George Lees - 1826
...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.... | |
 | Euclides - 1826
...THEOREM. If any point be taken without a circle, and from it two right lines be let fall on the circle, one of which cuts the circle, and the other touches it, the rectangle which is contained by the wlwle cutting line, and, that part between the point taken without the circle,... | |
 | Euclid - 1826 - 180 pągines
...THEOREM. If any point be taken without a circle, and from it two right lines be let fall on the circle, one of which cuts the circle, and the other touches it, the rectangle which is contained by the whole cutting line, and that part between the point taken without 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... 
