 | William Chauvenet - 1905 - 336 pages
...its intercepted arc. Corollary, An angle inscribed in a semicircle is a right angle. PROPOSITION XV. An angle formed by a tangent and a chord is measured by onehalf the intercepted arc. PROPOSITION XVI. An angle formed by two chords intersecting within the circumference is measured by... | |
 | George Clinton Shutts - 1905 - 260 pages
...198-202 (1) on measurement, and note their bearing on the theory of proportion. Ex. 165. Prove that an angle formed by a tangent and a chord, is measured by one-half the interccpted arc, using the following construction: Drop a J_ from the center of O O to the chord and... | |
 | Education - 1922 - 948 pages
...angle of the chord. In most of the proofs received, the pupil had assumed the theorem which states that an angle formed by a tangent and a chord is measured by half the intercepted arc. But this is the very theorem which is to be proved. Briefly, some of the... | |
 | Walter Nelson Bush, John Bernard Clarke - Geometry - 1905 - 378 pages
...measured by i arc ^(7. QED Dem. (3) Both arms on the same side of the diameter through B. QED XII. 2 a. An angle formed by a tangent and a chord is measured by half the intercepted arc. Hyp. If AC and EF intersect at C, and if AC is a chord and EF is a tangent,... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...by one-half its intercepted arc. Cor. An angle inscribed in a semicircle is a right angle. 58. The angle formed by a tangent and a chord is measured by one-half the intercepted arc. 59. The angle formed by two intersecting chords is measured by the half sum of the intercepted arcs.... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...[Prove Z AGF = Z AHE.] 289 The exterior angle formed by producing a side of PROPOSITION XII. THEOREM 281 An angle formed by a tangent and a chord is measured by half the intercepted arc. HYPOTHESIS. BA is a chord and BT a tangent. CONCLUSION. The ^ ABT is measured... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...[Prove Z AGF = Z AHE.] 289 The exterior angle formed by producing a side of PROPOSITION XII. THEOREM 281 An angle formed by a tangent and a chord is measured by half the intercepted arc. HYPOTHESIS. BA is a chord and BT a tangent. CONCLUSION. The Z ABT is measured... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...42° ; find the remaining angles of the triangle and the subtended arcs. PROP. XXII. THEOREM 196. The angle formed by a tangent and a chord is measured by one-half its intercepted arc. . B Draw a O. Draw tangent AC, touching the O at B, and chord BD making an acute... | |
 | Elmer Adelbert Lyman - Geometry - 1908 - 364 pages
...of its intercepted arc. 303. Corollary 1. An angle inscribed in a semicircle is a right angle. 307. An angle formed by a 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... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...42° ; rind the remaining angles of the triangle and the subtended arcs. PROP. XXII. THEOREM 196. The angle formed by a tangent and a chord is measured by one-half its intercepted arc. . B Draw a O. Draw tangent AC, touching the G at B, and chord BD making an acute... | |
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An angle formed by a tangent and a chord is measured by onehalf the intercepted arc. 
