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" IF from a point without a 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... "
The first three books of Euclid's Elements of geometry, with theorems and ... - Σελίδα 84
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

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...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 of the line which touches it. Let D be any point without the circle ABC,...

Pantologia. A new (cabinet) cyclopædia, by J.M. Good, O. Gregory ..., Τόμος 5

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...point without в 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...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...

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

John Playfair - 1819 - 350 σελίδες
...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, is equal to the square of the line which touches it. Let D be any point without the circle ABC, and...

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

Euclid, Robert Simson - 1821 - 514 σελίδες
...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 circlei shall be equal to the square of the line which touches it. Let D be any point without the circle...

Euclid's Elements of Geometry: The Six First Books. To which are Added ...

Rev. John Allen - 1822 - 508 σελίδες
...the other (AE) meeting it, and the rectangle (DEC) under the cutting line, and its external segment, be equal to the square of the line •which meets it; the right line (AE) which meets the circle, touches it. From E, draw EB touching the circle FA, FE,FB....

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

Peter Nicholson - 1825 - 1046 σελίδες
...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 of the line which touches it. Let D be any point without the circle ABC,...

A Supplement to the Elements of Euclid

Daniel Cresswell - 1825 - 616 σελίδες
...produced meets the quadrantal arch, from the other radius. LIX. TH. If the angle contained by two straight lines, one of which cuts the circle and the other meets it, be equal to the angle in the alternate segment of the circle, the straight line which meets, shall...

Elements of Arithmetic, Algebra, and Geometry

George Lees - 1826 - 276 σελίδες
...lines be drawn, one of which DA cuts the circle, and the other DB touches it ; the rectangle AD. DC contained by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of DB, the line which touches it. ' First, let DCA pass through the centre E,...

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

Euclid, Robert Simson - 1829 - 548 σελίδες
...touches the circle. 'C PROP. XXXVII. THEOR. IF from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained hy the whole line, which cuts the circle, and the part of it without the circle be equal to the square...

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

John Playfair - 1833 - 346 σελίδες
...the circle. A PROP. XXXVII. THEOR. a point without a circle there be drawn two straight lines, on» of which cuts the circle, and the other meets it ; if the rectangle eon* tained by the whole line, which cuts the circle, and the part of it with* out the circle,*be equal...




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