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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 Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ... - Side 92
av Robert Simson - 1781 - 466 sider
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Papers for the Schoolmaster

1852
...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. PAl'BRS FOR THE SCHOOLMASTER MENSUltATION....
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University of Durham

University of Durham - 1851
...without a circle two straight lines he 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 without the circle is equal to the square of the line which touches it. 9. To describe a circle about...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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. Let D be any point without the circle ABC,...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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. Let D be any point without the circle ABC,...
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The Elements of Euclid: With Many Additional Propositions ..., Del 1

Euclid - 1853 - 136 sider
...lines be drawn, one (DA) cutting the circle, and the other (DB) meeting it, and if the rectangle under the whole line which cuts the circle, and the part of it without the circle (DA and DC), be equal in area to the square on the line (DB) which meets it, that line touches the...
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The first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 sider
...circle. PROPOSITION XXXVII. — THEOREM. If from a point without a circle there be drawn two straight, lines, one of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole line which cuts the circle, and the part of it without...
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National Society's Monthly Paper

1855
...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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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...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. Section 4. } . About a circle to describe...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...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 - 1855 - 318 sider
...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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