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概述

  1. Circumcircle of a polynomial
    1. Introduction
    2. Möbius transformaions
    3. Geometric construction
    4. Algebraic calculations
    5. Solution of cubic equation

    Circumcircle of a polynomial

    作者:Alexey Tikhonov
    Circumcircle of a polynomial

    内容目录

    • 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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