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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... "
Elements of Geometry: Containing the First Six Books of Euclid : with a ... - Pągina 90
per John Playfair - 1832 - 333 pągines
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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,...
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Pantologia. A new (cabinet) cyclopędia, by J.M. Good, O. Gregory ..., Volum 5

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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

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...
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Geometrical Problems Deducible from the First Six Books of Euclid, Arranged ...

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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...
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A Popular Course of Pure and Mixed Mathematics ...: With Tables of ...

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,...
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Elements of Arithmetic, Algebra, and Geometry

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....
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

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,...
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Elements of Geometry, Containing the First Six Books of Euclid

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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