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" 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. "
Algebra: First Course - Page 193
by Edith Long, William Charles Brenke - 1913 - 283 pages
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Columbus Medical Journal: A Magazine of Medicine and Surgery, Volume 30

1906 - 628 pages
...minus RA plus QB. 3. If two chords in a circle intersect, the product of the segments of one chord is equal to the product of the segments of the other chord. 4. The side of an equilateral triangle is a. Find the area. 5. In a circle whose radius is 50 in.,...
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Plane and Solid Geometry

Fletcher Durell - Geometry - 1911 - 553 pages
...a'2PROPOSITION XXXII. THEOREM 354. If two chords in a circle intersect, the product of the segments of one chord is equal to the product of the segments of the other chord. D Given the O ADBC with the chords AB and CD intersecting at the point F. To prove AF X FB = CF X FJ)....
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Plane Geometry

Fletcher Durell - Geometry, Plane - 1904 - 382 pages
...PROPOSITION XXXII. THEOREM 354. If two chords in a circle intersect, the product of the segments of one chord is equal to the product of the segments of the other chord. D _ Given the O ADBC with the chords AB and CD intersecting at the point F. To prove AFXFB= CF X FD....
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Plane and Solid Geometry

Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...and through any point in their common chord two other chords are drawn, one to each circumference, the product of the segments of one of the chords is...equal to the product of the segments of the other. Also the four extremities of the two chords lie on a circumference. SUGGESTION to the last part. Pass...
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Practical Exercises in Physiological Optics

George James Burch - Eye - 1912 - 172 pages
...of a circle cut one another at a point within the circle, the product of the segments of one chord is equal to the product of the segments of the other chord.' 34 Suppose the lens-gauge is applied to the surface of a sphere (Fig. 4). The two outer pins touch...
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A Geometry Reader

Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...234. Prop. XXXVI. 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. 236. Prop. XXXVII. If two secants are drawn from a point without a circle terminating in the concave...
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Geometry - Plane, Solid and Analytic Problem Solver

Research & Education Association Editors, Ernest Woodward - Mathematics - 2012 - 1080 pages
...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, their line of centers is the perpendicular bisector of their...
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Essentials of Geometry II

Geometry - 100 pages
...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 circle or in congruent circles, equal chords have equal arcs. Theorem...
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Register ... Academic ... Department

1919 - 496 pages
...Prove your answer. 4. If two chords in a circle intersect, the product of the segments of one chord is equal to the product of the segments of the other chord. 5. A circular mill pond, l/2 mile in diameter, contains a circular island 100 yards in diameter. Find...
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