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" 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 211
by Fletcher Durell - 1904 - 372 pages
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Plane Geometry

George Albert Wentworth - Geometry, Modern - 1899 - 272 pages
...PROPOSITION XXXIII. THEOREM. 381. 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. Let AD be a tangent and AC a secant drawn from the point A tc the circle BCD. To prove that AC : AD...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1899 - 246 pages
...the square of the other leg. 381. 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. 400. The area of a parallelogram is equal to the product of its base by its altitude. 401. Parallelograms...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1899 - 498 pages
...PROPOSITION XXXIII. THEOREM. 381. 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. Let AD be a tangent and AC a secant drawn from the point A to the circle BCD. To prove that AC : AD...
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Solid Geometry, Volumes 6-9

George Albert Wentworth - Geometry, Solid - 1902 - 248 pages
...the square of the other leg. 381. 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. 400. The area of a parallelogram is equal to the product of its base by its altitude. 401. Parallelograms...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...proportion in such a way that the means belong to one figure and the extremes to another figure. 357. COR. 2. The segments of two chords intersecting in a circle...circle, the tangent is the mean proportional between the ivhole secant and its external segment. Given AB, a tangent, and AC, a secant, to the circle BCF, and...
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Plane and Solid Geometry

George Albert Wentworth - Geometry - 1904 - 496 pages
...PROPOSITION XXXIII. THEOREM. 381. 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. Let AD be a tangent and AC a secant drawn from the point A to the circle BCD. To prove that AC : AD...
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Announcements and Catalogue

University of Mississippi - 1905 - 262 pages
...opposite one of them are given. 4. 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. 5. The radius of a circle = 13. Through a point 5 from the center any chord is drawn. What is the product...
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School Science and Mathematics, Volume 19

Education - 1919 - 924 pages
...points in which it cuts the circle being coincident. Proposition: The tangent from a point to a circle is the mean proportional between the whole secant and its external segment drawn from the same point. i. Pfi *PB = 8496 0. PfxPC Proposition: rf tAts wAofc 7t t~ f^uar-i tAt...
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School Science and Mathematics, Volume 19

Education - 1919 - 960 pages
...points in which it cuts the circle being coincident. Proposition: The tangent from a point to a circle is the mean proportional between the whole secant and its external segment drawn from the same point. Pfi = 73 PB =118 PD - 6O i. PA x PB = 8196 3. PF*PE= 8370 Proposition: df...
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Plane and Solid Geometry

Isaac Newton Failor - Geometry - 1906 - 440 pages
...PC. PROPOSITION XXXII. THEOREM 379 If from a point without a circle a tangent and a secant are drawn, the tangent is the mean proportional between the whole secant and its external segment. HYPOTHESIS. PT is a tangent and PAB a secant of the circle ATB. CONCLUSION. PB : PT = PT : PA. PROOF...
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