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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... "
Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ... - Σελίδα 474
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...BE.ED, Wherefore, if two straight lines, &c. Q. E, D. PROP. XXXVI. THEOR. IF from any point without a circle two straight lines be drawn, one of which...the rectangle contained by the whole line which cuts the circle and the part of it without the circle is equal to the square of the line which touches it....

The Elements of Euclid; viz. the first six books, together with the eleventh ...

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...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...

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

Euclides - 1816 - 588 σελίδες
...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, one of which...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 of the line which...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

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...BE.ED. Wherefore, if two straight lines, &c. AV QED -^ PROP. XXXVI. THEOR. If from, any point without a circle two straight lines be drawn, one of which...rectangle contained, by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of the line which touches...

Elements of Geometry: Containing the First Six Books of Euclid: With a ...

John Playfair - 1819 - 354 σελίδες
...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 cuts the circle, and the part of it without the circle, is equal to the square of the line which touches...

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

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...ED Wherefore, if two straight lines, &c. QED Proposition XXXVI. Theorem. If from any point without a circle two straight lines be drawn, one of which...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 of the line which touches...

Elements of Geometry, Containing the First Six Books of Euclid

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...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,...

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

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...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,...

The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

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...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, one of which...; the rectangle contained by the whole line which a1ts the circle, and the part of it without the circle, shall be equal to the square of the line which...

Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 346 σελίδες
...AE.EC = BE.ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. If from any point without a circle two straight lines be drawn, one of which...the circle, and the other touches it ; the rectangle contain- ' ed by the whole line which cuts the circle, and the part of it without the circle, is equal...




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