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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 ... - Page 84
by Euclid, Thomas Tate - 1849 - 108 pages
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National Society's Monthly Paper

1855 - 264 pages
...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. SECT. IV. — 1. About a circle to describe...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855 - 262 pages
...lines be drawn, one of which cuts the circle, and the other touches it ; the rectangle cnnta-iаed by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of the tangent. Let D bе any point without the circle ABС, from -which the...
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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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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856 - 252 pages
...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. 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
...without a circle be drawn two straight lines whereof one cuts the circle and the other meets it, and the rectangle contained by the whole line which cuts the circle and the part without the circle be equal to the square of the other line, the latter line touches the circle. Let...
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Parliamentary Papers, Volume 25

Great Britain. Parliament. House of Commons - Bills, Legislative - 1858 - 694 pages
...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. 11. If any line is drawn touching a circle,...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 578 pages
...Find the centre of a given circle. 2. If from a point without a circle there be drawn two 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...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

Education - 1859 - 412 pages
...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 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
...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. 2. In a right angled triangle if a perpendicular...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 334 pages
...angled triangles. 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...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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