 | Herbert Ellsworth Slaught, Nels Johann Lennes - Geometry, Plane - 1918 - 360 pages
...PB and PD x PD = PD2. By how much do they differ ? PRODUCT OF SEGMENTS OF A CHORD 354. THEOREM XII. If two chords of a circle intersect, the product of the segments of one chord is equal to the product of the segments of the other. Given (.-) C with chords AB and DE meeting... | |
 | John William Angles - Measurement - 1919 - 200 pages
...as C, and in each case measure the angle at C. It will be found to always measure 90 degrees. (ii) If two chords of a circle intersect, the product of the segments of one of them is equal to the proditct of the segments of the other. Thus, referring to fig. 21, AE x EB... | |
 | Education - 1898 - 634 pages
...to bisect a giren angle. 9. Show that if any two chords are drawn through a fixed point in a circle, the product of the segments of one is equal to the product of the segments of the other. 10. Show that two similar triangle« are to each other as the squares of their homologous sides. PLANE... | |
 | United States. Office of Education - 1921 - 1286 pages
...proportional; (c) their sides are respectively proportional. 14. 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. 15. The perimeters of two similar polygons have the same ratio as any two corresponding sides. 16.... | |
 | Education - 1921 - 1190 pages
...proportional; (c) their sides are respectively proportional. 14. 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. 15. The perimeters of two similar polygons have the same ratio as any two corresponding sides. 16.... | |
 | Papermaking - 1921 - 488 pages
...evident, also, that PB bisects the central angle FOC. 87. Three Important Principles. — (1) // any two chords of a circle intersect, the product of the segments of one line is equal to the product of the segments of the other line, the segments being determined by the... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...each of the given ratios can be proved equal. THEOREM 103. 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. THEOREM 104. If two secants intersect without a circle, the product of one secant and its external... | |
 | National Committee on Mathematical Requirements - Mathematics - 1922 - 84 pages
...proportional; (c) their sides are respectively proportional. 14. 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. 15. The perimeters of two similar polygons have the same ratio as any two corresponding sides. 16.... | |
 | William Hepworth, J. Thomas Lee - Railroad engineering - 1922 - 432 pages
...opposite segment. Angle BAC - Angle ADC. III., 35 (Fig. 13). If two lines in a circle cut each other, the product of the segments of one is equal to the product -of the segments of the other. ABxBC = DBxBE. III., 36 (Fig. 14). If from a point outside of a circle any line be drawn cutting the... | |
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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. 
