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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 103
by Euclides - 1841 - 351 pages
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The geometry of the three first books of Euclid, by direct proof from ...

Euclides - 1856
...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
...part of the circumference. 10. PROP. XXXVI. — If from any point without a circle two straight lines be drawn, one of which cuts the circle, and the other...equal to the square of the line which touches it. 11. If any line is drawn touching a circle, the part of it intercepted between the tangents at the...
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Examination papers used at the examinations for direct commissions [&c.].

War office - 1858 - 12 pages
...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 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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The Practice of Engineering Field Work, Applied to Land, Hydrographic, and ...

W. Davis Haskoll - Civil engineering - 1858 - 324 pages
...by the opposite sides of the quadrilateral. If from any point outside of a circle two straight lines be drawn, one of which cuts, the circle and the other touches it, then the rectangle under the line which cuts the circle, and that part of it outside the circle, is...
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Examination papers used at the examinations for admission to the Royal ...

Sandhurst roy. military coll - 1859 - 1869 pages
...in the circumference of the given circle. 14. If from any point without a circle two straight lines be drawn, one of which cuts the circle and the other...equal to the square of the line which touches it. ALGEBRA AND GEOMETRY. I. TODHUNTER, ESQ., MA 1. Solve the following equations : — 24+x 11 13 (2)...
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Return to an Address of the Honourable the House of Commons, Dated 10 ...

Education - 1859
...circle are together equal to two right angles. 9. If from a point without a circle two straight lines be drawn, one of which cuts the circle, and the other...be equal to the square of the line which touches it 10. Describe an i-osceles triangle having each of the angles at the base double of the vertical angle....
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A complete practical guide to her majesty's Civil service, by a certificated ...

Civil service
...circumference. ' PROP. XXXVI If from any point without a circle two straight lines be .drawn, one of whioh cuts the circle, and the other touches it ; the rectangle...equal to the square of the line which touches it. If any line is drawn touching a circle, the part of it intercepted between the tangents at the extremities...
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Cambridge senate-house problems and riders for the year 1860; with solutions ...

Henry William Watson - 1860
...difference of two adjacent sides is given. 3. If, from any point without a circle, two straight lines be drawn, one of which cuts the circle, and the other...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 A of a circle, and be produced...
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Cambridge Senate-house Problems and Riders for the Year 1860: With Solutions

Henry William Watson, Edward John Routh - Mathematics - 1860 - 198 pages
...difference of two adjacent sides is given. 3. If, from any point without a circle, two straight lines be drawn, one of which cuts the circle, and the other...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 A of a circle, and be produced...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - Geometry - 1860 - 317 pages
...BE. ED. PROP. XXXVI. THEOR. B Jf from any point without a circle two straight lines be drawn, one iif which cuts the circle, and the other touches it; the...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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