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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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 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, also touches the circle. a...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 páginas
...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...equal to the square of the line which touches it. XXXVII. If from a point without a circle there be drawn two straight lines, one of which cuts the circle,...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 496 páginas
...the other touches it, the rectangle contained by the whole line which cuts, and the part of that line without the circle, is equal to the square of the line which touches. The line which touches the circle is always of the same length, if the point from which it is drawn...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 496 páginas
...the other touches it, the rectangle contained by the whole line which cuts, and the part of that line without the circle, is equal to the square of the line which touches. The line which touches the circle is always of the same length, if the point from which it is drawn...
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A Treatise on Astronomy

Mrs. L. H. Tyler - 1837 - 288 páginas
...di ameter ? What is the curvature of the earth for one mile ? rectangle* contained by the whole line which cuts the circle, and the part of it without...equal to the square of the line which touches it, ie the distance cn multipled into nb, equals the square of a b : Now the square of ab, or one mile,...
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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 the...
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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1837 - 318 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 the...
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Elements of Plane Geometry According to Euclid

Andrew Bell - 1837 - 240 páginas
...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 - 1837 - 390 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 the circle touches it. If from...
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 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. Steps...
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