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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 ... - Pāgina 90
per John Playfair - 1832 - 333 pāgines
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Euclid's Elements [book 1-6] with corrections, by J.R. Young

Euclides - 1838
...Hence, if from any point, &c. PROP. XXXVI. THEOR. If from any point without a circle two straight tines be drawn, one of which cuts the circle, and the other...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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The Elements of Euclid; viz. the first six books,together with the eleventh ...

Euclides - 1841 - 351 pāgines
...two straight lines, &c. QED PROP. XXXVI. THEOR. If from any point without a circle two straight lints be drawn, one of which cuts the circle, and the other...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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Elements of geometry: consisting of the first four,and the sixth, books of ...

Euclides - 1842
...Wherefore, if two straight lines, &c. QED PROP. XXXVI. THEOR. IF from any point on the exterior of a circle two straight lines be drawn, one of which...whole line which cuts the circle, and the part of it which is on the exterior of the circle, shall be equivalent to the square of the line which touches...
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Elements of Geometry: Containing the First Six Books of Euclid, with a ...

John Playfair - 1842 - 317 pāgines
...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 shall touch the circle. Let...
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Euclid in Paragraphs: The Elements of Euclid: Containing the First Six Books ...

Euclid - 1845 - 199 pāgines
...circle there be draimi 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 withmit the circle be equal to the square of the line which, meets it, the line which meets shall touch...
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The First Six, and the Eleventh and Twelfth Books of Euclid's Elements: With ...

Euclid, James Thomson - 1845 - 352 pāgines
...of which cuts the circle, and the other meets it ; and if the rectangle contained by the whole fine which cuts the circle, and the part of it without the circle, be equal to the square of the fine which meets it, the line which meets the circle touches it. If from...
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Euclid's Elements of geometry [book 1-6, 11,12] with explanatory notes ...

Euclides - 1845
...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 (he part of it without the circle, be equal to the square of the line which meets it, the line which...
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The Elements of Euclid, the parts read in the University of Cambridge [book ...

Euclides - 1846
...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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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...ED = GE ^ AE. EC = BE . ED. Wherefore, if 2 str. lines, &c. PROP. LXIII. THEOR. as. S Eģ. 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 0 ABC ; and...
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The Elements of Geometry, Symbolically Arranged

Great Britain. Admiralty - 1846
...= GE EH ' AE . EC = BE . ED. Wherefore, if 2 str. lines, &c. PROP. LXIII. THEOR. 36. 3 EĢ. If from any point without a circle two straight lines be drawn,...the circle, and the part of it without the circle, shall equal to the square of the line uiluch. it. Let D be any point without the 0 ABC ; and DCA, DB...
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