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" If two chords intersect within a circle, the product of the segments of one is equal to the product of the segments of the other. "
Plane Geometry - Page 148
by Arthur Schultze - 1901
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...the center. In the same circle or congruent circles, chords equidistant from the center are equal. If two chords intersect within a circle, the product of the segments of one chord is equal to the product of the segments of the other chord. If two circles intersect in two points,...
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Essentials of Geometry II

Geometry - 100 pages
...5 In the same circle or congruent circles, chords equidistant from the center are equal. Theorem 6 If two chords intersect within a circle , the product of the segments of one chord is equal to the product of the segments of the other chord. AP-BP=CP-DP Theorem 7 In the same...
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School Science, Volumes 4-5

Mathematics - 1904 - 1000 pages
...segments of a line? The idea thus assimilated will be of service in attacking such a proposition as, "If two chords intersect within a circle the product...equal to the product of the segments of the other, and extending it to the case of two secants or of a tangent and a secant? 7i8 for the square of the...
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Announcements and Catalogue

University of Mississippi - 1908 - 216 pages
...sides. 3. To find the mean proportional between two given straight lines. 4. If two chords intersect in a circle, "the product of the segments of one is equal to the product of the segments of the other. 5. To construct a parallelogram equivalent to a given square and having the difference of its base...
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Plane Geometry

William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 356 pages
...found prove that a : b = sin A : sin B. CIRCLES AND PROPORTIONAL LINES PROPOSITION XII. THEOREM 404. If two chords intersect within a circle, the product of the segments of one chord is equal to the product of the segments of the other. D Given in a circle two chords AB and CD...
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Missouri School Journal, Volume 14, Issue 11

1897 - 774 pages
...from the center. Prove. 2 If two cUords cut each other In a circle, the product of the segments of the one is equal to the product of the segments of the other. Prove. 3. To construct a triangle equivalent to a triven polygon. Solve. 4 Find the value of the apothem...
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