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Volume 92

The Mathematical Gazette

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Volume 92 - November 2008

Notes

92.77 Proof without words: the sine of a sum

92.19 Orthologic triangles and Miquel’s theorem

92.49 A generalisation of Pythagoras' theorem

92.78 A mathematical gem

92.20 Application of inversion to touching hyperspheres

92.50 The 2:3:4, 3:4:5, 4:5:6 and 3:5:7 triangles

92.51 Some rules of the triangle

92.79 Exploring numerical integration on a spreadsheet

92.21 Area and perimeter ratios

92.52 Trisecting angles with ruler and compasses

92.22 Maths bite: averaging polygons

92.80 The edge-choosability of the tetrahedron

92.23 Tilings into tilings

92.81 10n2 +2 revealed

92.53 A regular (6n ± l)-gon inscribed in an equilateral triangle

92.54 ‘Look-see’ constructions of a regular pentagon

92.24 Counting faces on Archimedean solids

92.82 Learning Russian

92.83 Partitioning rugby scores

92.25 Finding lost cousins

The Mathematical Gazette

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Volume 92 - November 2008

Notes