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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... "
The Elements of Euclid; viz. the first six books,together with the eleventh ... - Page 103
by Euclides - 1841 - 351 pages
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 5

John Mason Good - 1813
...of them is equal to ihe rectanele contained by the segments of the other. cut» ttic cireíe, arid the part of it without the circle, shall be equal to the square of the line which torirheü it. ¥ op. XXXVII. Theor. If froto a point without a circle there be drawn fivo straight...
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The Elements of Euclid; viz. the first six books, together with the eleventh ...

Euclides - 1814
...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...circle, and the part of it without the circle, shall be tqual to the square of the line which touches it. Let D be any point without the circle ABC, and DCA,...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclides - 1816 - 528 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....
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - Circle-squaring - 1819 - 333 pages
...straight lines, &c. AV 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...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...
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Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 317 pages
...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...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...
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Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Volume 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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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - Geometry - 1821 - 516 pages
...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...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 - Mathematics - 1825 - 372 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...
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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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