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Outline
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
Next
Intro
New Resources
Untitled
Tangent in Cartesian and Polar Coordinates
Graphing 1 + cos(θ) in Polar Coordinates
Advanced example 3: Colored vector field 3D
רישום חופשי
Discover Resources
Drawing Transformation
Best Fit Line/Plane in 3D using SVD
Archimedes method for finding pi
Inverse Trig 1.1
Discover Topics
Incircle or Inscribed Circle
Stochastic Process or Random Process
Distributions
Intersection
Pyramid