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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... "
Euclid's Elements of Geometry: Chiefly from the Text of Dr. Simson, with ... - Pagina 152
door Robert Potts - 1860 - 361 pagina’s
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 pagina’s
...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, 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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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 pagina’s
...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, 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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 pagina’s
...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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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1846 - 317 pagina’s
...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, 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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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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 Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...lines be drawn, one of which cuts the circle, and the other touches it; the rectangle con-tained by the whole line which cuts the circle, and the part of it without the circle, shall equal to the square of the line uiluch. it. Let D be any point without the 0 ABC ; and DCA, DB...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...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 0 ABC ; and...
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THE SOLUTIONS OF GEOMETRICAL PROBLEMS

THOMAS GASKIN, M.A., - 1847
...the square of the line that touches the circle is equal to the rectangle contained by the straight line which cuts the circle and the part of it without the circle. 5. The portions of the tangent at any point of an equiangular hyperbola intercepted between the curve...
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The definitions, postulates, axioms, and enunciations of the propositions of ...

Euclides - 1848
...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. Con. If from any point without a circle,...
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