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

Euclides - 1845
...the 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...contained by the whole line which cuts the circle, and (he part of it without the circle, be equal to the square of the line which meets it, the line which...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 sider
...the tangent AD. PROP. XXXVII. THEOR.— 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 fine which cuts the circle, and the part of it without...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...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 0 ABC ; and...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 317 sider
...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, 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
...without a circle two straight 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 Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...touches the circle. PROP. XXXVII. THEOR. If from a point without a circle there be drawn two straight lines, one of which cuts the circle, and the other meets it, then, if the rectangle, contained by the whole line which cuts the circle and the part of it without...
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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
...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. 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 sider
...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 English Journal of Education, Volum 4

1850
...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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