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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 Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ... - Side 96
av Euclid, Robert Simson - 1829 - 516 sider
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845 - 546 sider
...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 in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 218 sider
...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 withmit the circle be equal to the square of the line which, meets it, the line which meets shall touch...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...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 Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846 - 292 sider
...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 ...

Euclid, John Playfair - 1846 - 334 sider
...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 Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 sider
...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 Solutions of the Geometrical Problems: Consisting Chiefly of Examples in ...

Thomas Gaskin - 1847 - 301 sider
...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 - 52 sider
...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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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 sider
...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 English Journal of Education, Volum 4

1850 - 488 sider
...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...square of the line which meets it, the line which meets shall touch the circle. 2. To inscribe a circle in a given triangle. 3. If the angle of a triangle...
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