 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 148by Arthur Schultze - 1901Full view - About this book
 | Herbert David Welte, Frederic Butterfield Knight - Geometry - 1929 - 160 pages
...the mean proportional between the whole secant and its external segment. ANSWERS 9. 60 10. PTXTS 11. If two chords intersect within a circle, the product of the segments of one equals the product of the segments of the other. 12. 28.2744 sq. ft. 13. 18.8496ft. 14. 113.0976 sq.... | |
 | College Entrance Examination Board - Mathematics - 1920 - 108 pages
...congruent if the three sides of one are equal, respectively, to the three sides of the other. 2. a) Prove: If two chords intersect within a circle, the product...equal to the product of the segments of the other. b) A and B are two points on a railway curve which is an arc of a circle. If the length of the chord... | |
 | The Editors of REA, 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,... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 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... | |
 | 1897 - 772 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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