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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 geometry of the three first books of Euclid, by direct proof from ... - Seite 80
von Euclides - 1856
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1853 - 317 Seiten
...ED. PROP. XXXVI. THEOR. bisect' 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 whfyh cuts the circle, and the part of it without the circle, is equal to the square of the line which...
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National Society's Monthly Paper

1855
...within the circle. 3. 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...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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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...centre than the less. 3. 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...the circle and the part of it without the circle, shall be equal to the square of the line which touches it. Section 4. } . About a circle to describe...
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Elements of Geometry: Containing the First Six Books of Euclid with a ...

John Playfair - 1855 - 336 Seiten
...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...equal to the square of the line which touches it. Let D be any point without the circle ABC, and DCA, DB two straight lines drawn from it, of which DCA...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...straight lines, one of which cnti the circle, and the other meets it ; and if the rectangle contained liy the whole line which cuts the circle, and the part of it without the circle, be equal to the square of the straight line which meets it, that straight line touches the circle....
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Cambridge examination papers: a suppl. to the University calendar, 1856-59

Cambridge univ, exam. papers - 1856
...two right angles. 12. 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...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 Seiten
...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, 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, Band 25

Great Britain. Parliament. House of Commons - 1858 - 690 Seiten
...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 touches it ; the rectangle...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 Seiten
...VOLUNTARY PORTION. 1. 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...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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Return to an Address of the Honourable the House of Commons, Dated 10 ...

1859
...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 touches it; the rectangle...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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