 | George Albert Wentworth - 1889 - 276 pages
...secant and the external segment is constant in whatever direction the secant is drawn. 166. Theorem. 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 external segment. PROBLEMS.... | |
 | George Albert Wentworth - 1889 - 264 pages
...secant and the external segment is constant in whatever direction the secant is drawn. 166. Theorem. 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 external segment. PROBLEMS.... | |
 | Edward Albert Bowser - Geometry - 1890 - 420 pages
...= 20, and CD = 24, find the lengths of CP and DP when CD bisects AB. Proposition 3O. Theorem. 339. 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 the external segment. Hyp. Let PC and PB be a tangent... | |
 | Examinations - 1893 - 408 pages
...circles angles at the center are in the same ratio as their intercepted arcs. (Two cases.) 8 6 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 the external segment. 5 7 Solve the following and... | |
 | 1893 - 760 pages
...There was one universal shout for Nature." PUEE MATHEMATICS.— PAST I. The Board of Examiners. 1. If from a point without a circle a tangent and a secant be drawn, then the rectangle contained by the whole secant and the part of it without the circle shall be equal... | |
 | George Clinton Shutts - Geometry - 1894 - 412 pages
...be PROPOSITION XXVIII. 314. Theorem. // a secant and a tangent meet without a circle, the tangent is a mean proportional between the secant and its external segment. Let AC represent a tangent, and OC a secant meeting the tangent at the point C. ОС AC To prove that —... | |
 | George Albert Wentworth, George Anthony Hill - Geometry - 1894 - 150 pages
...exterior segment is equal to the product of the other secant and its exterior segment. 235. Theorem. If from a point without a circle a tangent and a secant are drawn to the circle, the tangent is a mean proportional between the entire secant and its exterior... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry, Modern - 1896 - 276 pages
...opposite A : PB', opposite A'. § 274 Whence PAxPB' = PBxPA'. § 2 50 QED PROPOSITION XVII. THEOREM 321. 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. GIVEN — a fixed point P... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1896 - 276 pages
...opposite A : PB', opposite A'. § 274 Whence PA x PB' = PBxPA'. § 250 QED PROPOSITION XVII. THEOREM 321. 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. GIVEN — a fixed point P... | |
 | Andrew Wheeler Phillips, Irving Fisher - Geometry - 1897 - 374 pages
...opposite A : PS', opposite A'. § 261 Whence PA xPB'=PBxPA' §237 QED PROPOSITION XVII. THEOREM 300- 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. GIVEN... | |
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If from a point without a circle, a tangent and a secant be drawn, the tangent will be a mean proportional between the secant and its external segment. 
