 | Education - 1922 - 948 pages
...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 proofs were:... | |
 | 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, Cone.... | |
 | Edward Rutledge Robbins - Geometry, Plane - 1906 - 268 pages
...Each is measured by half of a semicircumference (?) (249). .-. each is a rt. Z (?) (247). QED 252. THEOREM. The angle formed by a tangent and a chord is measured by half the intercepted arc. Given : Tangent TN ; chord PA ; Z TPA ; arc PA. To Prove : Z TPA is measured by J... | |
 | Isaac Newton Failor - Geometry - 1906 - 431 pages
...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 by J... | |
 | Isaac Newton Failor - Geometry - 1906 - 440 pages
...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 by \... | |
 | Wisconsin. Department of Public Instruction - Education - 1906 - 124 pages
...measured 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... | |
 | Edward Rutledge Robbins - Geometry - 1907 - 428 pages
...Each is measured by half of a semicircumference (?) (249). ... each is a rt. Z (?) (247). QED 252. THEOREM. The angle formed by a tangent and a chord is measured by half the intercepted arc. Given : Tangent TN ; chord PA ; Z TPA ; arc PA. To Prove : Z TPA is measured by ^... | |
 | Webster Wells - Geometry - 1908 - 329 pages
...of 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 interce2)ted arc. AB Draw a O. Draw tangent AC, touching the O at B, and chord BD making... | |
 | Webster Wells - Geometry, Plane - 1908 - 208 pages
...of 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... | |
 | Webster Wells - Geometry - 1908 - 336 pages
...of 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... | |
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BEC, taken together, are measured by half the circumference ; hence their sum is equal to two right angles. 
