GeoGebra
GeoGebra
Circumcircle of a polynomial
Introduction
Möbius transformaions
Geometric construction
Algebraic calculations
Solution of cubic equation
Circumcircle of a polynomial
Author:
Alexey Tikhonov
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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