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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... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Page 152
by Robert Potts - 1860 - 361 pages
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - Geometry - 1855 - 334 pages
...drawn, one nf which cuts the circle, and the other touches it; the rectangle contamed by the whole lme 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...
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856 - 168 pages
...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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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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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...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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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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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 672 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. 2. In a right angled triangle if a perpendicular...
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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
...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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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 of it without the circle, be equal to the square of the line which meets it, the line which meets shall touch the circle. VOLUNTARY PORTION. 1. The...
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Euclid's plane geometry, books iii.-vi., practically applied; or, Gradations ...

Euclides - 1861 - 464 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. Cox. 10,1. 1,II1. 12,1. DEM. 18, III. 47,...
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