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
| 1911 - 864 pages
...= c — d :d. IX. Prcve: — If two chords intersect in a circle, the product M the segments of the **one is equal to the product of the segments of the other.** X. Construct a circle which shall pass through two given |v»ints and touch a given line. XI. The diagonals... | |
| David Eugene Smith - Geometry - 1911 - 370 pages
...heavy pasteboard. THEOREM. If 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.** COROLLARY. If from a point without a circle a secant is drawn, the product of the secant and its external... | |
| William Betz, Harrison Emmett Webb - Geometry, Modern - 1912 - 368 pages
...46°, and £B = 17°. Find the side 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. Given in a circle two chords AB and CD... | |
| William Betz, Harrison Emmett Webb, Percey Franklyn Smith - Geometry, Plane - 1912 - 360 pages
...the side b. A = 46°, and /.B = 17°. 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. T) Given in a circle two chords AB and... | |
| George Albert Wentworth, George Wentworth - Geometry - 1912 - 602 pages
...secants of a circle intersect within, on, or outside the circle, the product of the segments of the **one is equal to the product of the segments of the other.** 23. If four lines meet in a point so that the opposite angles are equal, these lines form two intersecting... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1913 - 486 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 i To prove AE X EB = CE X ED. HINT. What is the means... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry, Plane - 1913 - 328 pages
...meet in a common point or are parallel. [See applied problem 64, p. 297.] PROPOSITION XXX. THEOREM **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... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...corresponding sides. PART IV. PROPORTIONAL PROPERTIES OF CHORDS, SECANTS, AND TANGENTS 168. Theorem XI. **If 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. 169. Theorem XII. If from a point without... | |
| George Albert Wentworth, David Eugene Smith - Geometry - 1913 - 496 pages
...^.ADB. The &ABD and ECD are similar ; and the & BCD and AED are similar. PROPOSITION XXI. THEOREM 299. **If 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 AB and CD, intersecting... | |
| Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...SIMILARITY [III, § 168 PART IV. PROPORTIONAL PROPERTIES OF CHORDS, SECANTS, AND TANGENTS 168. Theorem XI. **If 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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