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Volume 92

The Mathematical Gazette

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Volume 92 - November 2008

Notes

92.63 Proof of an aphorism from the Vedas

92.64 Graphs of quadratic polynomials

92.06 A relation between the roots of a polynomial and its coefficients

92.36 A singular integral

92.65 The centre of symmetry of a cubic polynomial

92.07 A generalised algebraic identity bites Pythagoras

92.37 A curved railway platform canopy

92.66 Parametric forms for general polynomial equations

92.38 Ellipses, ovals and the area of the M25

92.08 Summing digits of an arithmetic sequence

92.09 Explicit polynomial expressions for sums of powers of an arithmetic progression

92.67 Affine transformations of the graphs of polynomials

92.39 A discriminant that forms a geometric sequence

92.40 Rendezvous constants

92.68 A proof of"

92.10 Evaluating again

92.11 A remarkable formula

92.69 Sums of simple rearrangements of the alternating harmonic series

92.41 Maths bite: Pythagoras causes chaos!

92.12 Two infinite nested radical constants

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Volume 92 - November 2008

Notes