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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... "
The synoptical Euclid; being the first four books of Euclid's Elements of ... - Side 97
av Euclides - 1853
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Elements of Geometry, Containing the First Six Books of Euclid

Euclid - 1826 - 180 sider
...THEOREM. If any point be taken without a circle, and from it two right lines be let fall on the circle, one of which cuts the circle, and the other touches it, the rectangle which is contained by the whole cutting line, and that part between the point taken without the circle,...
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Euclid's Elements of geometry, transl. To which are added, algebraic ...

Euclides - 1826
...THEOREM. If any point be taken without a circle, and from it two right lines be let fall on the circle, one of which cuts the circle, and the other touches it, the rectangle which is contained by the wlwle cutting line, and, that part between the point taken without the circle,...
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The Elements of Euclid: The Errors by which Theon, Or Others, Have Long ...

Robert Simson - 1827 - 513 sider
...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...; 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 sider
...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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Elements of Geometry: Containing the First Six Books of Euclid : with a ...

John Playfair - 1832 - 333 sider
...GEEH; therefore AE EC = BE.ED.A' Wherefore, if two straight lines, &c. QED H PROP. XXXVI. THEOR. Iff/mm any point without a circle two straight lines be drawn,...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...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1833 - 333 sider
...BE.ED = GE.EH ; therefore AE.EC = BE.ED. Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. If from any point without a circle two straight lines...the circle, and the other touches it ; the rectangle contain- ' ed by the whole line which cuts the circle, and the part of it without the circle, is equal...
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The Elements of Euclid: viz. the first six books, together with the eleventh ...

Robert Simson - 1835 - 513 sider
...is 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...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...
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The Elements of Euclid: Viz. the First Six Books, Together with the Eleventh ...

Euclid - 1835 - 513 sider
...is 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...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 sider
...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 sider
...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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