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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 ... - Pągina 90
per John Playfair - 1832 - 333 pągines
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 pągines
...-)- to the rectangle, BE, ED. Wherefore, if two straight lines, &c. QED PROP.. XXXVI. THEOR. If from any point without a circle two straight lines be drawn,...; the rectangle contained by the whole line which a1ts the circle, and the part of it without the circle, shall be equal to the square of the line which...
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The Elements of Euclid: Viz, the First Six Books, Together with the Eleventh ...

Euclid, Robert Simson - 1829 - 516 pągines
...straight lines, one of which cuts the circle, and the other meets it; if the rectangle contained hy 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 Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 pągines
...to the rectangle BE, ED. Wherefore, « if two straight lines," &c. QED PROP. XXXVI. THEOR. If from any point without a circle two straight lines be drawn,...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...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 496 pągines
...advert ; and that we shall now briefly consider. 3. If from any point, without the circumference of a circle, two straight lines be drawn, one of which...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...
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Popular Mathematics: Being the First Elements of Arithmetic, Algebra, and ...

Robert Mudie - 1836 - 496 pągines
...advert ; and that we shall now briefly consider. 3. If from any point, without the circumference of a circle, two straight lines be drawn, one of which...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...
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The Teacher's Assistant in the "Course of Mathematics Adapted to the Method ...

1836 - 472 pągines
...circle there be drawn two straight 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 a circle, be equal to the line which meets it, the line which meets shall touch the circle. BOOK iv....
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A companion to Euclid: being a help to the understanding and remembering of ...

Euclides - 1837 - 88 pągines
...that AE x EC and BE x ED are each = GE x EH, and .'. = each other. PROPOSITION XXXVI. Theorem. If from any point without a circle two straight lines be drawn,...the circle, and the other touches it, the rectangle B/ contained by the whole line which cuts the circle, and the part of it without the circle, shall...
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The First Six and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1837 - 390 pągines
...circle there be drawn two straight 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 the circle touches it. If from...
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The Elements of Euclid: The Errors, by which Theon, Or Others, Have Long Ago ...

Euclid, Robert Simson - 1838 - 416 pągines
...equal to the rectangle BE, ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point without a circle two straight lines be drawn,...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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An Essay on the Use of the Spirit Level: As Applied to Engineering and Other ...

Thomas Oswald Blackett - 1838 - 106 pągines
...correction for the curvature of the earth may be found according to (Prop. 36, 3d. Book Euclid}. " If from any point without a circle two straight lines be drawn,...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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