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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... "
Elements of Geometry;: Containing the First Six Books of Euclid, with a ... - Página 106
por John Playfair, Euclid - 1804 - 440 páginas
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The English Journal of Education, Volumen4

1850 - 488 páginas
...the segment of the other. SECTION V. 1. If from a point without a circle there be drawn two straight lines, one of which cuts the circle and the other...the part of it without the circle, be equal to the square of the line which meets it, the line which meets shall touch the circle. 2. To inscribe a circle...
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Papers for the Schoolmaster, Volumen2

1852 - 316 páginas
...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 - 222 páginas
...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 English Journal of Education, Volumen6

1852 - 512 páginas
...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 IV. — 1. To inscribe an equilateral...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853 - 400 páginas
...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 synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853 - 146 páginas
...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 ..., Parte1

Euclid - 1853 - 176 páginas
...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 - 176 páginas
...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 - 264 páginas
...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 - 270 páginas
...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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