 | George Bruce Halsted - Measurement - 1881 - 258 pages
...tangent and a chord is measured by half the intercepted arc. Ww. 209 ; (En. III. 32 ; Cv. II. 62). 27, An angle formed by two chords, intersecting within a circle, is measured by half the sum of the arcs vertically intercepted. Ww. 20g , ^ Appen. 2 . Cv. IL 64^ 28, If two secants,... | |
 | Joe Garner Estill - 1896 - 186 pages
...divide the circumference of a circle into three parts that shall be in the ratio 1:2:3. 5. Prove that an angle formed by two chords intersecting within a circle is measured by one-half the sum of the intercepted arcs. ABCD is a quadrilateral in a circle ; P, Q, R, S, are the... | |
 | Joe Garner Estill - Geometry - 1896 - 168 pages
...divide the circumference of a circle into three parts that shall be in the ratio 1:2:3. 5. Prove that an angle formed by two chords intersecting within a circle is measured by one-half the sum of the intercepted arcs. ABCD is a quadrilateral in a circle ; P, Q, R, S, are the... | |
 | Education - 1904 - 938 pages
...diagonal Is 80 feet, (b) Give rule for finding the area of a tapezoid. Prove your rule. 10. Prove: (a) An angle formed by two chords Intersecting within a circle is measured by one-half the sum of the intercepted arcs. (&) An angle formed by two secants intersecting without a... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...tangent and a chord is measured by one half of the intercepted arc. 309. An angle formed by two secants intersecting within a circle is measured by one half of the sum of the arcs intercepted between its sides and between the sides of its vertical angle. 310. An angle formed... | |
 | 1909 - 374 pages
...3. Prove that the two tangents drawn to a circle from a point without are equal. 4. Prove that the angle formed by two chords intersecting within a circle is measured by one-half of the sum of the intercepted arcs. 5. Define similar polygons. If the altitudes AD and BE... | |
 | Joseph Victor Collins - Algebra - 1913 - 362 pages
...also the subtended arc, and conversely. 9. Parallel chords intercept equal arcs on the circumference. 11. An angle formed by two chords intersecting within...one half of the difference of the intercepted arcs. Fia. 1 FIQ. 2 FIG. 3 Thus, Zl (fig. 1) is measured by \(AC + BU). Angle A (fig. 2) is measured by \... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Plane - 1913 - 376 pages
...Prove that the opposite angles of any inscribed quadrilateral are supplementary. 114 136. Theorem XIII. An angle formed by two chords intersecting within...measured by one half of the sum of* the intercepted arcs. FIG. 99 Outline of proof. Draw AD. Then ZAKB=ZD + ZA. §64 But ZD is measured by £ AB § 132 and ZA... | |
 | Walter Burton Ford, Charles Ammerman - Geometry, Solid - 1913 - 176 pages
...is obtuse. 135. Corollary 3. All angles inscribed in the same segment are equal. 136. Theorem XIII. An angle formed by two chords intersecting within...measured by one half of the sum of the intercepted arcs. 137. Theorem XIV. An angle formed by a tangent and a chord drawn through the point oftangency is measured... | |
 | Walter Burton Ford, Earle Raymond Hedrick - Geometry, Modern - 1913 - 272 pages
...Prove that the opposite angles of any inscribed quadrilateral are supplementary. 136. Theorem XIII. An angle formed by two chords intersecting within...measured by one half of the sum of the intercepted arcs. FIG. 99 Outline of proof. Draw AD. Then Z AKB = ZD + Z A. §64 But Z. D is measured by ^ AB § 132... | |
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An angle formed by two chords intersecting within a circle is measured by one-half the sum of the intercepted arcs. 
