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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 plane geometry, books iii.-vi., practically applied; or, Gradations ... - Seite 81
von Euclides - 1861
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 Seiten
...if 2 str. lines, &c. PROP. LXIII. THEOR. as. S E». If from any point without a circle two straight lines be drawn, one of which cuts the circle, and...equal to the square of the line which touches it. Let D be any point without the 0 ABC ; and DCA, DB two str. lines drawn from it, of which DCA cuts...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846 - 128 Seiten
...if 2 str. lines, &c. PROP. LXIII. THEOR. 36. 3 E«. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and...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 two...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 334 Seiten
...BE.ED=GE.EH ; therefore AE.EC=BE. ED. BG PROP. XXXVI. THEOR. If from any point without a circle two straight lines be drawn, one of which cuts the circle, and...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 - 292 Seiten
...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 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 the Geometrical Problems: Consisting Chiefly of Examples in ...

Thomas Gaskin - 1847 - 301 Seiten
...equation to the parabola^ 4. Prove analytically that if from a point without a circle two straight lines be drawn, one of 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 - 52 Seiten
...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 it shall touch the circle....
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The first three books of Euclid's Elements of geometry, with theorems and ...

Euclid, Thomas Tate - 1849 - 120 Seiten
...circle there be drawn two ttraight 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 English Journal of Education, Band 4

1850 - 488 Seiten
...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, Band 2

1852 - 316 Seiten
...square of the line between the points of section. 3. If from any point without a circle two straight lines be drawn, one of which cuts the circle and the...equal to the square of the line which touches it. PAl'BRS FOR THE SCHOOLMASTER MENSUltATION. SECTION III, 1. What is the cost of a wall of brickwork...
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University of Durham

University of Durham - 1851 - 222 Seiten
...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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