Modern Methods in Elementary GeometryMacmillan, 1868 - 112 σελίδες |
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Σελίδα 36
... chord ; as AB . The part of the circumference cut off by the chord is called an arc ; it is denoted either by two letters AB with a curved mark over them , or by A three letters A CB , the first and last of which are at the extremities ...
... chord ; as AB . The part of the circumference cut off by the chord is called an arc ; it is denoted either by two letters AB with a curved mark over them , or by A three letters A CB , the first and last of which are at the extremities ...
Σελίδα 37
E. M. Reynolds. THEOREM I The diameter EOC , drawn per- pendicular to a chord AB , bisects that chord . Let O be the ... chords parallel to AB . Thus corresponding to every point , as A , on the circum- ference on one side of any diameter ...
E. M. Reynolds. THEOREM I The diameter EOC , drawn per- pendicular to a chord AB , bisects that chord . Let O be the ... chords parallel to AB . Thus corresponding to every point , as A , on the circum- ference on one side of any diameter ...
Σελίδα 44
... chords . A B C D Let O and I be equal circles , and let the arc AB be equal to the arc CD . and Then shall AOB = CID , the chord AB = the chord CD . Apply the circle O to the circle I so that the point O may be on I. The circumferences ...
... chords . A B C D Let O and I be equal circles , and let the arc AB be equal to the arc CD . and Then shall AOB = CID , the chord AB = the chord CD . Apply the circle O to the circle I so that the point O may be on I. The circumferences ...
Σελίδα 45
... chord AB would be nearer than CD to the diameter through A , and would therefore be greater than CD ; and if the arc AB were less than the arc CD , the chord AB would be less than the chord CD . [ II . 4. Cor . 2 . Conversely ; if AOB ...
... chord AB would be nearer than CD to the diameter through A , and would therefore be greater than CD ; and if the arc AB were less than the arc CD , the chord AB would be less than the chord CD . [ II . 4. Cor . 2 . Conversely ; if AOB ...
Σελίδα 47
... chord AB = the chord CD , the arc AB = the arc CD . [ II . 10. Cor . 2 . Therefore the point B will coincide with D , and the chord AB with the chord CD . Therefore the perpendiculars upon these lines from the centres will coincide with ...
... chord AB = the chord CD , the arc AB = the arc CD . [ II . 10. Cor . 2 . Therefore the point B will coincide with D , and the chord AB with the chord CD . Therefore the perpendiculars upon these lines from the centres will coincide with ...
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A'BC Algebra alternate angle altitude angle equal arc CD ARITHMETIC bisect BROOKE FOSS WESTCOTT Cambridge centre circle touching circumference cloth coincide congruent CONIC SECTIONS contain convex angle convex polygon Crown 8vo diagonals diameter dicular divide duplicate ratio Edward Thring ELEMENTARY TREATISE equal angles equally distant equally remote equiangular equiangular and similar equilateral triangle Examples exterior angle Fcap Find the locus GEOMETRY given angle given circle given line given point given straight line greater Hence intersect isosceles John's College late Fellow Let ABCD line drawn MATHEMATICAL measure meet middle point opposite sides parallel to BC parallelogram perpen perpendicular polygon produced quadrilateral figure radius rectangle right angles right-angled triangle Schools Second Edition segments Shew shortest line similar triangles student subtend tangent THEOREM THEOREM VII Third Edition trapezium triangle ABC vertex