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" If, from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other and its external segment. "
New Plane Geometry - Page 126
by Webster Wells - 1908 - 174 pages
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Register ... Academic ... Department

1916 - 466 pages
...from a point outside of a circle any two lines are drawn cutting the circle, the product of one secant and its external segment is equal to the product of the other secant and its external segment. If the point is taken inside of the circle, state the corresponding...
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Third-year Mathematics for Secondary Schools

Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...If from a point without a circle two secants be drawn to the concave arc, the product of one secant and its external segment is equal to the product of the other secant and its external segment. [317] 433. In a right triangle the perpendicular from the vertex of...
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Plane Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...be proved equal. THEOREM 104. If two secants intersect without a circle, the product of one secant and its external segment is equal to the product of the other secant and its external segment. THEOREM 105. If a secant and a tangent meet without a circle, the...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 486 pages
...XXXI. THEOREM 321. If from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other secant and its external segment. Given two secants AC and AE cutting a circle in B, C, and D, E respectively....
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Plane and Solid Geometry

Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...452. Theorem. // two secants are drawn to a circle from an external point, the product of one secant and its external segment is equal to the product of the other secant and its external segment. Given circle 0, the external point P, and secants PC and PE. To prove...
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Solid Geometry

Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...452. Theorem. If two secants are drawn to a circle from an external point, the product of one secant and its external segment is equal to the product of the other secant and its external segment. CHAPTER V. MEASUREMENT OF CIRCLES ยง 458. Problem. To inscribe a regular...
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General Mathematics, Book 2

Raleigh Schorling, William David Reeve - Mathematics - 1922 - 476 pages
...a point outside a circle two secants terminating on the circle are drawn, the product of one secant and its external segment is equal to the product of the other secant and its external segment. FIG. 374 SUGGESTION. Draw AD and BC. Prove that AADP^.ABPC. EXERCISES...
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Solid Geometry

Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 238 pages
...segments of the other. THEOREM 104. If two secants intersect without a circle, the product of one secant and its external segment is equal to the product of the other secant and its external segment. THEOREM 106. The bisector of an angle of a triangle divides the opposite...
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Schultze and Sevenoak's Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...XXXI. THEOREM 321- If from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other secant and its external segment. Given two secants AC and AE cutting a circle in B, C, and D, E respectively....
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Plane and Solid Geometry

Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...XXVIII. THEOREM 322. // from a point without a circle, two secants are drawn, the product of one secant and its external segment is equal to the product of the other secant and its external segment. Given two secants AC and AE cutting a circle in B, C, D, and E respectively....
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