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Elemente der Mathematik

Elemente der Mathematik Volume 78 (2023)
Heading Page
Issue 1 _
Front matter _
Article: Intriguing infinite words composed of zeros and ones 1
Article: Dreiecke, Teildreiecke und Kreise 9
Artikel: Is the spiral effect psychological? 21
Artikel: Wolstenholme's theorem revisited 35
Artikel: An inequality for the ratio of polynomials 37
Artikel: Angle sum of polygons in space 41
Rubrik: Aufgaben 44
Endseiten _
Heft 2 _
Titelseiten _
Artikel: Cycles cross ratio : an invitation 49
Artikel: Isogonal cevians and inequalities for quotients of cevians 62
Artikel: Unit squares with unit line segments 68
Artikel: Unlikely leading digits of powers of 2 77
Artikel: The Garfunkel-Bankoff inequality and the Finsler-Hadwiger inequality 82
Rubrik: Aufgaben 85
Buchbesprechung: Rezensionen 90
Endseiten _
Heft 3 _
Titelseiten _
Artikel: Another extension of Lobachevsky's formula 93
Artikel: Regression ellipses via hyperbolic geometry 101
Artikel: Approximation of polynomials by Hermite interpolation 113
Article: Isosceles tetrahedrons with integer edges and volume in the Z x Z x Z grid 123
Article: A remark on an identity involving products of binomial coefficients 127
Article: A simple proof of the Fundamental Theorem of Algebra 131
Book review: Rezensionen 133
Rubric: Aufgaben 135
Back matter _
Issue 4 _
Front matter _
Article: Daniel Bernoulli's "immensly fertile equation" : notes on relations between a nonlinear and a linear second order equation 141
Article: Die Infizierung des Z² 155
Article: The equation x/y + y/z + z/x = 4 revisited 168
Article: Hermite's identity and the quadratic reciprocity law 171
Article: Two proofs of Bondy's theorem on induced subsets and two related questions 174
Book review: Rezensionen 178
Rubric: Aufgaben 180
Back matter _