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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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Bulletin, Issues 1-11

Education - 1911 - 1030 pages
...Define a parallelogram. (6) Prove that the opixisite sides of a parallelogram are equal. 2. Prove 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. 3. Prove that the perpendiculars...
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Bulletin, Issues 1-13

United States. Office of Education - 1911 - 1154 pages
...Define a parallelogram. (6) Prove that the opposite sides of a parallelogram are equal. 2. Prove 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. 3. Prove that the perpendiculars...
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The Teaching of Geometry

David Eugene Smith - Geometry - 1911 - 358 pages
...of the segments of the other. THEOREM. If from a point without a circle a secant and a tangent are drawn, the tangent is the mean proportional between the secant and its external segment. COROLLARY. If from a point without a circle a secant is drawn, the product of the secant and its external...
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College Entrance Examination Papers in Plane Geometry

Geometry, Plane - 1911 - 192 pages
...the middle points of PA, PB and PC lie upon a circumference touching the first circumference at P. 6. 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 its external segment. 7....
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 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 AC : AD = AD:...
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Plane Geometry

William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 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. Given AD a tangent and AC a secant from the point A to the circle BCD. To prove that Proof. 1. 2. Then...
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McEvoy Magazine, Volume 5

Education - 1912 - 632 pages
...measuring 8 units. 12. To transform a scalene triangle into an equivalent right isosceles triangle. 13. 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 its external segment. Prove....
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 491 pages
...shown above. PROPOSITION XXII. THEOREM 302. If from a point outside a circle a secant and a tangent are drawn, the tangent is the mean proportional between the secant and its external segment. Given a tangent AD and a secant AC drawn from the point A to the circle BCD. To prove that AC: AD =...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...circle. PROPOSITION XXII. THEOREM 302. If from a point outside a circle a secant and a tangent are drawn, the tangent is the mean proportional between the secant and its external segment. Given a tangent AD and a secant AC drawn from the point A to the circle BCD. To prove that AC: AD =...
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Plane and Solid Geometry

George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...circle. PROPOSITION XXII. THEOREM 302. If from a point outside a circle a secant and a tangent are drawn, the tangent is the mean proportional between the secant and its external segment. Given a tangent AD and a secant AC drawn from the point A to the circle BCD. To prove that AC: AD =...
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