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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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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 páginas
...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 the circle, be equal to the square of the fine which meets it, the line which meets the circle touches it. If from...
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An Elementary Treatise on Algebra: Theoretical and Practical

James Thomson - 1845 - 292 páginas
...continued to meet the remote part of its circumference, the rectangle contained by one of the lines and the part of it without the circle, is equal to the rectangle contained by the other and the part of it without the circle. (Euc. III. 36. Cor.) 8. If...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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 Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...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
...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 ...

John Playfair - 1846 - 317 páginas
...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 SOLUTIONS OF GEOMETRICAL PROBLEMS

THOMAS GASKIN, M.A., - 1847
...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
...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 ...

Euclides - 1849
...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, Volumen4

1850
...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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