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Books Books 1 - 10 of 98 on If from a point without a circle a secant and a tangent are drawn, the tangent is....
" If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the whole secant and its external segment. "
Plane Geometry - Page 184
by John Wesley Young, Albert John Schwartz - 1915 - 223 pages
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A System of Popular Geometry: Containing in a Few Lessons So Much of the ...

George Darley - Geometry - 1836 - 128 pages
...under the segments of one is equal to the rectangle under the segments of the other, 110. ART. 156. If from a point without a circle a secant and a tangent be drawn to the circle, the square of the tangent is equal to the rectangle under the whole secant...
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Elements of Plane Geometry According to Euclid

Robert Simson, John Playfair - Euclid's Elements - 1837 - 240 pages
...rectangle GE- EH; therefore the rectangle AE'EC, is equal to the rectangle BE • ED. PROPOSITION XXXVI. THEOREM. If from a point without a circle a secant and a tangent to it be drawn, the rectangle under the secant and its external segment is equal to the square of the...
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Euclid's Elements of plane geometry [book 1-6] explicitly enunciated, by J ...

Euclides - 1860
...the rectangle AE • EC is equal to the rectangle BE • ED. ** See Appendix — Proposition (D). If from a point without a circle a secant and a tangent to it be drawn, the rectangle under the secant and its external segment is equal to the square on the...
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Euclidian geometry

Francis Cuthbertson (geometer.) - 1874
...rectangle (PX, PQ) = rectangle (RX, XS). (Ii. 2) Lastly, if neither of them pass through the centre, THEOREM (<?). If from a point without a circle a secant and a tangent be drawn, the rectangle contained by the parts of the secant between the given point and the circle...
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Annual Register of the United States Naval Academy, Annapolis, Md, Volumes 25-32

United States Naval Academy - 1874
...triangle, or circle deribed upon the side as diameter ? Give reasons for your answer. I. Prove that if, from a point without a circle, a secant and a tangent bo drawn, a tangent ie a mean proportional between the whole secant and the part without i- circle....
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Report, Volumes 11-20

1876
...sides is equi-distant from them, equal in length to half their sum, and bisects the opposite side. 3. If from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle....
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Proceedings

Scotland free church, gen. assembly - 1876
...equations : (1.) (2.) 4x-lly=9. 5. To draw a tangent to a circle from a given point without it. 6. If, from a point without a circle, a secant and a tangent to it be drawn, the square on the tangent is equal to - (complete the enunciation, and prove the theorem)....
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Elements of Plane and Solid Geometry

George Albert Wentworth - Geometry - 1877 - 398 pages
...the shortest side of the one, : 0 Н, the shortest side of the other. PROPOSITION XIII. THEOREM. 292. If from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle....
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Elements of Geometry

George Albert Wentworth - Geometry, Plane - 1881 - 250 pages
...shortest side of the one, : 0 Н, the shortest side of the other. QED X PROPOSITION XIII. THEOREM. 292. If from a point without a circle a secant and a tangent be drawn, the tangent is a mean proportional between the whole secant and the part without the circle....
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The Elements of Euclid, books i. to vi., with deductions, appendices and ...

Euclides - 1884
...such that AP-PB = a given square. Determine the square. 6. Prove VI. B, and VI. C. PROPOSITION 36. THEOREM. If from a point without a circle a secant and a tangent be drawn to the circle, the rectangle contained by the secant and its external segment shall be equal...
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