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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 96
by Euclid, Robert Simson - 1829 - 516 pages
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...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. EUCLID (B.) DEFINE a plane superficies,...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...straight lines be drawn whereof one 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. If D be any point without a circle ABC and DCA,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...straight lines, one of which cuts the circle and the other meets it, so that 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 meets it, then the line which meets the circle will touch...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 pages
...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. 10 BOYAL MILITARY COLLEGE. 7. Inscribe an...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

Education - 1859 - 414 pages
...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 10. Describe an i-osceles triangle having...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 pages
...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...be equal to the square of the line which meets it, ttie line which meets shall touch the circle. Let any point D be taken without the circle ABC. and...
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - Mathematics - 1860 - 240 pages
...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 on the line which touches it. If two chords AB, AC be drawn from any point...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service - 366 pages
...lines be .drawn, one of whioh 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. If any line is drawn touching a circle,...
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Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ...

Robert Potts - Geometry, Plane - 1860 - 380 pages
...be drawn, one of 'tllicit cuts the circle, and the other touches it ; the rectangle contained by tke whole line which cuts the circle, and the part of it without the circle, 'in. II be equal to the square on the line which touches it. Let D be any point without the circle...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1861 - 714 pages
...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...square of the line which meets it, the line which meets shall touch the circle. VOLUNTARY PORTION. 1. The rectangle contained by the diagonals of a quadrilateral...
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