 | Webster Wells, Walter Wilson Hart - Geometry - 1916 - 504 pages
...external segment will be 8 in. ? Ex. 73. If altitudes AD and BE of A ABC intersect at F, prove that the product of the segments of one is equal to the product of the segments of the other. (Apply § 284.) Ex. 74. If AD and BE are two altitudes of A ABC, then AD • BC = BE • AC. Ex. 75.... | |
 | Ernst Rudolph Breslich - Mathematics - 1916 - 392 pages
...Fig. 263). Summary 318. The following theorems were proved: 1. // two chords of a circle intersect, the product of the segments of one is equal to the product of the segments of the other. 2. If from a point without a circle a tangent and secant be drawn the tangent is a mean proportional... | |
 | William Betz - Geometry - 1916 - 536 pages
...46°, and ZB = 17°. Find the side It. 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... | |
 | Ernst Rudolph Breslich - Logarithms - 1917 - 408 pages
...are in the same ratio as any two corresponding sides. [219] 430. If two chords of a circle intersect, the product of the segments of one is equal to the product of the segments of the other. [314] 431. If from a point without a circle a tangent and secant be drawn, the tangent is a mean proportional... | |
 | Mabel Sykes, Clarence Elmer Comstock - Geometry, Modern - 1918 - 576 pages
...are tangent internally. 13 FIG. 316 L_ IMPORTANT SPECIAL CASES INTERSECTING CHORDS 213. THEOREM 103. If two chords intersect within a circle, the product...equal to the product of the segments of the other. FIG. 317 Hypothesis: Circle O is any circle with the chords AB and CD intersecting at X so that a and... | |
 | Arthur Schultze, Frank Louis Sevenoak - Geometry - 1918 - 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... | |
 | Claude Irwin Palmer - Geometry, Solid - 1918 - 192 pages
...squares of any two corresponding sides. PROPORTIONAL LINES CONNECTED WITH CIRCLES § 447. Theorem. If two chords intersect within a circle, the product...equal to the product of the segments of the other. § 450. Theorem. If a tangent and a secant are drawn to a circle from an external point, the tangent... | |
 | Claude Irwin Palmer, Daniel Pomeroy Taylor - Geometry - 1918 - 460 pages
...similitude of the polygons ABCDE and A'B'C'D'E'. PROPORTIONAL LINES CONNECTED WITH CIRCLES 447. Theorem. // two chords intersect within a circle, the product...equal to the product of the segments of the other. Given circle 0 and the chords AB and CD intersecting at E. . To prove AE-BE = CE- DE. Proof. Draw AC... | |
 | Education - 1898 - 634 pages
...Problem: 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... | |
 | Marquis Joseph Newell - 1920 - 424 pages
...and the total length of the other chord is 17 inches. Find the segments of the second chord. Note. If two chords intersect within a circle, the product of the segments of one equals the product of the segments of the other. 16. A number of boys bought a boat for $36. One of... | |
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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. 
