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" If } from a point without a circle, a tangent and a secant be drawn, the tangent is the mean proportional between the secant and its external segment. "
Plane Geometry - Page 146
by Arthur Schultze, Frank Louis Sevenoak - 1911 - 233 pages
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The Harvard University Catalogue

Harvard University - 1876 - 324 pages
...triangles thus formed ? Prove. How is this proposition useful in proving the Pythagorean proposition. 4. If from a point, without a circle, a tangent and a secant are drawn, the tangent is a mean proportional between the entire secant and the part without the circle....
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ASM Handbook of Engineering Mathematics

Mamerto L. Chu, American Society for Metals - Mathematics - 1983 - 720 pages
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...centers of the circles are collinear. If a secant and a tangent are drawn to a circle, the measure of the tangent is the mean proportional between the secant and its external segment. K two secants are drawn to a circle from a point outside the circle, the products of the secants and...
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The High School Geometry Tutor

The Editors of Rea - Business & Economics - 1985 - 366 pages
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Schaum's Outline of Geometry

Barnett Rich - Mathematics - 1999 - 386 pages
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - 1999 - 386 pages
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School Science, Volumes 4-5

Mathematics - 1904 - 1000 pages
...proving the triangles similar the required proportionalities may be established. After proving that "If from a point without a circle a tangent and a secant be drawn, the tangent is a mean proportional between the whole secant and its external segment," how many teachers strike while...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...XIII. THEOREM 406. If from a point without a circle a secant and a tangent are drawn to the circle, the tangent is the mean proportional between the secant and its external segment. D Given AD a tangent and AC a secant from the point A to the circle BCD. To prove that Proof. 1. 2....
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Announcements and Catalogue

University of Mississippi - 1903 - 170 pages
...included by the opposite sides (produced) of an inscribed quadrilateral intersect at right angles. 5. If from a point without a circle, a tangent and a secant are drawn, the tangent is a mean proportional between the whole secant and the external sequent. 6....
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Calendar, Volume 2

University of Sheffield - 1913 - 642 pages
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