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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 ... - Página 84
por John Playfair - 1855 - 318 páginas
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University of Durham

University of Durham - 1851
...the other touches it, the rectangle contained by 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 a given triangle. 10. To inscribe a circle in a given square. 11. To...
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Papers for the Schoolmaster, Volumen2

1852
...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. PAl'BRS FOR THE SCHOOLMASTER MENSUltATION....
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The Elements of Euclid, books i-vi; xi. 1-21; xii. 1,2; ed. by H.J ..., Libro 1

Euclides - 1853
...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 without the circle is equal to the square of the meeting line : then the meeting line shall touch the circle. Let D be any point without the circle...
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The synoptical Euclid; being the first four books of Euclid's Elements of ...

Euclides - 1853
...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 first six books of the Elements of Euclid, with numerous exercises

Euclides - 1853 - 147 páginas
...of which cuts the circle, and the other meets it ; and 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 shau touch the circle. LET...
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The Elements of Euclid: With Many Additional Propositions ..., Parte1

Euclid - 1853 - 136 páginas
...be drawn, one cutting the circle and the other meeting it, and if the rectangle under the whole line which cuts the circle, and the part of it without the circle, be equal in area to the square ou the line which meets it. If from a point within or without a circle...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...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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Minutes of the Committee of Council on Education

Great Britain. Committee on Education - 1855
...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...equal to the square of the line which touches it. 3. Define similar figures, and prove that equiangular triangles are similar. Section 4. 1. If a quadrilateral...
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National Society's Monthly Paper

1855
...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. SECT. IV. — 1. About a circle to describe...
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The Elements of geometry; or, The first six books, with the eleventh and ...

Euclides - 1855
...of which cnti the circle, and the other meets it ; and if the rectangle contained liy the whole line which cuts the circle, and the part of it without the circle, be equal to the square of the straight line which meets it, that straight line touches the circle....
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