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
| David Eugene Smith - Geometry, Plane - 1923 - 314 pages
...Intersecting Chords 220. Theorem. If two chords of a circle intersect, the product of the segments of either **one is equal to the product of the segments of the other.** Given a O with the chords AB and CD, intersecting at P. Prove that PA"PB = PC. PD. Proof. Draw ACandBD.... | |
| Jacob William Albert Young - Mathematics - 1924 - 484 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. 1 6.... | |
| Frank Charles Touton - Geometry, Plane - 1924 - 134 pages
...Exercise 6 it must have been the purpose of the examiners to measure the knowledge of the theorem: **"If two chords intersect within a circle, the product of the segments of one** chord equals the product of the segments of the other." Now this general theorem is used by but 46.0... | |
| Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1923 - 414 pages
...polygons. PROPORTION 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... | |
| David Eugene Smith - Geometry, Solid - 1924 - 256 pages
...same ratio as the radii. 3. If two chords of a circle intersect, the product of the segments of either **one is equal to the product of the segments of the other.** 4. The perpendicular from any point on a circle to a diameter of the circle is the mean proportional... | |
| Julius J. H. Hayn - Geometry, Plane - 1925 - 328 pages
...polygons. 233. Prop. XXXV. Decomposition of similar polygons. Exercises Group 71 234. 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... | |
| Arthur Schultze, Frank Louis Sevenoak - Geometry - 1925 - 504 pages
...method of (309) and take the products of the means and extremes of the resulting proportion. Ex. 1. // **two chords intersect within a circle, the product of the segments of one** equals the product of the segments of the other. Ex. 2. If from any point E in the chord AB the perpendicular... | |
| Baltimore (Md.). Department of Education - Mathematics - 1924 - 182 pages
...corresponding sides. 4. a. If two chords intersect in a circle, the product of the segments of the **one is equal to the product of the segments of the other.** *b. If from a point without a circle, a tangent and a secant are drawn, the tangent is the mean proportional... | |
| National Committee on Mathematical Requirements - Mathematics - 1927 - 208 pages
...(c) their sides are respectively proportional. [59*, 60*, 61*, cd*] > 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.** [67*] 15. The perimeters of two similar polygons have the same ratio as any two corresponding sidps.... | |
| 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... | |
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