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" BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it ; therefore the straight line BD touches the circle ACD : (in. "
Elementary Plane Geometry: Inductive and Deductive - Página 96
por Alfred Baker - 1903 - 144 páginas
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 páginas
...and the other meets the circle, and the rectangle AB.BC contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD, which meets it ; the straight line BD touches (37. 3.) the circle ACD. And because BD touches...
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An elementary treatise on algebra. [With] Key

James Thomson - 1844
...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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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 páginas
...other meets the circle, and that the rectangle AB, BC, contained bv the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it, the :i sr. s. straight line BD touches || the circle ACD : And because BD touches...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 páginas
...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 DCA, DB two straight hues...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it ; therefore the straight line BD touches the circle ACD : (in. 37-) and because...
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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
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it, therefore BD touches the circle ACD (3. 37) : And because BD touches the circle...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

Euclid, John Playfair - 1846 - 317 páginas
...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 DCA, DB two straight lines...
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The geometry, by T. S. Davies. Conic sections, by Stephen Fenwick

Royal Military Academy, Woolwich - 1853
...other meets the circle, and that the rectangle AB, BC, contained by the whole of the cutting line, and the part of it without the circle, is equal to the square of BD which meets it, the straight lineBD touches (37. in.) the circle ACD : And because BD touches...
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The Elements of Euclid. Books I.-VI.; XI. 1-21 XII. 1-2. A New Text ..., Libro 1

Euclides - 1853
...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...
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