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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 Arithmetic, Algebra, and Geometry

George Lees - 1826
...and the other DB touches it ; the rectangle AD. DC contained by the whole line which cuts the circle, and the part of it without the circle, is equal to the square of DB, the line which touches it. ' First, let DCA pass through the centre E, join EB ; then the angle...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 páginas
...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 line BD touches * the circle ACD : and because • 37. s. BD touches...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 páginas
...circle, and the other touches it ; the rectangle contained by the whole line which cuts tJie 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 Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 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. XXXVII. If from a point without a circle there be drawn two straight...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...circumference, one of which cuts, and the other meets, the circle, and that the rectangle I AB • BC contained by the secant, and the < part of it without the circle, is equal to the square of BD which meets it ; the straight line BD touches the circle ACD fi" (III. 37) ; 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 - 1837 - 390 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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A Treatise on Astronomy

L. H. Tyler - 1837
...curvature of the earth for one mile ? 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, ie the distance cn multipled into nb, equals the square of a b : Now...
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Lessons on Form: Or, An Introduction to Geometry, as Given in a Pestalozzian ...

Charles Reiner - 1837 - 215 páginas
...tangent and the other cuts the circle, the rectangle contained by the line which cuts the circle and by the part of it without the circle is equal to the square of the tangent. 11. If, from the same point without a circle, several straight lines are drawn cutting...
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...the 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 line BD touches* the circle ACD : and ' because BD touches the...
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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 páginas
...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 *37. 3. line BD touches* the circle ACD. And because BD...
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