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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 ... - Pàgina 90
per John Playfair - 1832 - 333 pàgines
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 317 pàgines
...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 of the line which meets it, the line which meets shall touch the circle. Let...
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THE SOLUTIONS OF GEOMETRICAL PROBLEMS

THOMAS GASKIN, M.A., - 1847
...intersection. Find the corresponding equation to the parabola^ 4. Prove analytically that if from a point without a circle two straight lines be drawn,...which cuts the circle and the other touches it, the square of the line that touches the circle is equal to the rectangle contained by the straight line...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...them, is equal to the rectangle contained by the segments of the other. PROP. XXXVI. THEOREM. If from any point without a circle two straight lines be drawn,...the circle, and the part of it without the circle, shall be equal to the square of the line which touches it. Con. If from any point without a circle,...
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclides, Thomas Tate - 1849 - 108 pàgines
...equal to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOB. If from any point without a circle two straight lines be drawn,...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 English Journal of Education, Volum 4

1850
...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 of the line which meets it, the line which meets shall touch the circle. 2....
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Papers for the Schoolmaster, Volum 2

1852
...the square of half the line, and of the square of the line between the points of section. 3. If from any point without a circle two straight lines be drawn,...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
...from the centre are equal to one another. 8. If from a point without a circle two straight lines he drawn, one of which cuts the circle and the other...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
...equal to the rectangle BE, ED. Wherefore, if two straight lines, &e. QED PROP. XXXVI. THEOEEM. If from any point without a circle two straight lines be drawn,...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
...the rectangle BE, ED. Wherefore, if two straight lines, etc. QED PRC-POSITION XXXVI. THEOR. If from any point without a circle, two straight lines be...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. Books I.-VI.; XI. 1-21 XII. 1-2. A New ..., Llibre 1

Euclides - 1853
...rectangle BA, AE is equal to the rectangle CA, AF. Which was to be proved. PEOP. XXXVII. THEOE. If from any point without a circle two straight lines be drawn, one of which cuts the circle and the other meets it, such that the rectangle contained by the whole line cutting the circle and the part of it...
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