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  • Circumcircle of a polynomial
  • Introduction
  • Möbius transformaions
  • Geometric construction
  • Algebraic calculations
  • Solution of cubic equation

Circumcircle of a polynomial

Author:
Alexey Tikhonov
Circumcircle of a polynomial

Table of Contents

  • Introduction

    • Intro
  • Möbius transformaions

    • Definition and properties
    • Circle preserving property
    • Angle preserving property
    • Symmetric points
    • Symmetry preserving property
    • Mapping 3 points to 3 points and cross ratio
  • Geometric construction

    • Resolvent points
    • Definition of resolvent points
    • Permutations of resolvent points
    • Geometric construction (1)
    • Resolvent points (geometric construction)
    • Geometric construction (2)
    • Resolvent transformation
    • Gemetric construction (3)
  • Algebraic calculations

    • Resolvent polynomial
    • Resolvent polynomial (CAS)
    • Complex number A
    • Singularities
    • Discriminants (CAS)
    • Singularities (CAS)
  • Solution of cubic equation

    • Cubic solver
    • Connection with Cardano's formula
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