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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... "
Elements of Geometry: Containing the First Six Books of Euclid with a ... - Página 84
por John Playfair - 1855 - 318 páginas
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...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...equal to the square of the line which touches it. If D be any point without a circle ABC and DCA, DB be two straight lines of which DCA cuts the circle...
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...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 - 12 páginas
...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 the circle. VOLUNTARY PORTION. 1. Prove the...
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Parliamentary Papers, Volumen25

Great Britain. Parliament. House of Commons - 1858
...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 admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 páginas
...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. ALGEBRA AND GEOMETRY. I. TODHUNTER, ESQ.,...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859
...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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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...which cuts, and the other meets the circle, and that the rectangle AB • BC contained by the secant, and the part of it without the circle, is equal to the square on BD which meets it ; the straight line BD touches the circle ACD (III. 37) ; and because BD touches...
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - 1860 - 198 páginas
...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...
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...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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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - 1860 - 197 páginas
...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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