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
| Education - 1921 - 1190 pages
...aides are 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.... | |
| United States. Office of Education - 1921 - 1286 pages
...sides are 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.... | |
| Mabel Sykes, Clarence Elmer Comstock - Geometry, Solid - 1922 - 236 pages
...necessary to find a third ratio to which each of the given ratios can be proved equal. THEOREM 103. **If two chords intersect within a circle, the product...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
...sides are 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... | |
| Raleigh Schorling, William David Reeve - Mathematics - 1922 - 460 pages
...hypotenuse and the perpendicular from the vertex of the right angle upon the hypotenuse. 375. Theorem. **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. FIG. 373 SUGGESTION. Draw AC and BD. EXERCISES... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 484 pages
...in a common point or are parallel. [See applied problem 64, p. 297.] PROPOSITION XXX. THEOREM 320. **If two chords intersect within a circle, the product...equal to the product of the segments of the other.** Given in O 0, the chords AB and CD intersecting in E. To prove AE x EB = CE x ED. HINT. What is the... | |
| National Committee on Mathematical Requirements - Mathematics - 1923 - 680 pages
...both angles) in the one are equal to corresponding parts of the other." 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.... | |
| 1905 - 1094 pages
...two homologous sides. ">. To divide a line into extreme and mean ratio. в. If two cords intersect In **a circle, the product of the segments of one Is equal to the product of the segments of the other.** 7. The sum of the squares of two sides of a triangle is equal to twice the square of half the third... | |
| Walter Burton Ford, Charles Ammermann - Geometry, Modern - 1923 - 406 pages
...similar triangles. PART IV. PROPORTIONAL PROPERTIES OF CHORDS, SECANTS, AND TANGENTS 168. Theorem XI. // **two chords intersect within a circle, the product of the segments of** the one is equal to the product of the segments of the other. Given the chords AC and BD intersecting... | |
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