Besondere Punkte/Special Points

Besondere Punkte/Special Points

Besondere Punkte/Special Points — Items 54 — Triangle Perpendicular Bisector Symmetry and Similarity、Euler Line: An Important Geometric Relationship in Triangles、Routh's Theorem Demonstration

Items: 263

Contents

Triangle Perpendicular Bisector Symmetry and Similarity

Triangle Perpendicular Bisector Symmetry and Similarity

@bunryu

Euler Line: An Important Geometric Relationship in Triangles

Euler Line: An Important Geometric Relationship in Triangles

@Daniel Mentrard

Routh's Theorem Demonstration

Routh's Theorem Demonstration

@jlmunoz

Van Lamun's Circle and Triangle Construction

Van Lamun's Circle and Triangle Construction

@mariashabanova

Parabola and Three Tangents: Geometric Construction and Mathematical Analysis

Parabola and Three Tangents: Geometric Construction and Mathematical Analysis

@gwengler

三角形の中央＝フェルマー点

@bunryu

Marion’s Theorem: Constructing Similarity and Area Relations

Marion’s Theorem: Constructing Similarity and Area Relations

@gwengler

3D Theorem von Marion: a Pyramid Solid Demonstration

3D Theorem von Marion: a Pyramid Solid Demonstration

@gwengler

From a Complete Quadrilateral to Miquel Point: Circumcircles and Orthocenter Geo

From a Complete Quadrilateral to Miquel Point: Circumcircles and Orthocenter Geo

@bunryu

Fermat Point with CAS Functions: Optimal Triple-Connection Construction

Fermat Point with CAS Functions: Optimal Triple-Connection Construction

@hawe

Vector View of Steiner Point in a Triangular Configuration

Vector View of Steiner Point in a Triangular Configuration

@bunryu

Fermat Point with Integer Lengths—Geometric Construction

Fermat Point with Integer Lengths—Geometric Construction

@gwengler

Geometric Construction of the Steiner Point (Tangents & Angle Bisectors)

Geometric Construction of the Steiner Point (Tangents & Angle Bisectors)

@frndmrsl

Constructing the Feynman Triangle: Rotations and Ratio Geometry

Constructing the Feynman Triangle: Rotations and Ratio Geometry

@frndmrsl

Kepler Right Triangle (Kepler-Dreieck): Proportions via Construction

Kepler Right Triangle (Kepler-Dreieck): Proportions via Construction

@gwengler

Mikko's Hexagon Theorem in Triangle

Mikko's Hexagon Theorem in Triangle

@mrahikka

Fermat-Torricelli Point (Version 2): Constructing the Point Minimizing Sum of Di

Fermat-Torricelli Point (Version 2): Constructing the Point Minimizing Sum of Di

@perez

Fermat-Torricelli Point Construction

Fermat-Torricelli Point Construction

@perez

Algebraic Determination of the Fermat-Torricelli Point

Algebraic Determination of the Fermat-Torricelli Point

@perez

Geometric Construction of the Fermat Point (120° Criterion) and Distance-Sum Min

Geometric Construction of the Fermat Point (120° Criterion) and Distance-Sum Min

@davidsaeteros90

Napoleon-Dreieck: Ellipse and Triangle Geometry

Napoleon-Dreieck: Ellipse and Triangle Geometry

@thglaser

Longchamps Point: Geometric Properties and Construction in Triangle

Longchamps Point: Geometric Properties and Construction in Triangle

@ilarrosa

The Mittenpunkt of a Triangle

The Mittenpunkt of a Triangle

@ilarrosa

Centroid of a Parametric Curve

Centroid of a Parametric Curve

@marc_renault

Triangle Symmedian: Geometric Construction & Properties

Triangle Symmedian: Geometric Construction & Properties

@goldenj

Notable Points in a Triangle via Angle Bisectors and Perpendiculars

Notable Points in a Triangle via Angle Bisectors and Perpendiculars

@christian.mercat

Cyclic Quadrilateral Circumradius and Area from Side Lengths

Cyclic Quadrilateral Circumradius and Area from Side Lengths

@ilarrosa

Six-Point Circle in a Triangle

Six-Point Circle in a Triangle

@gwengler

Napoleon’s Theorem Check: Constructing Equilateral Triangles and Area Relations

Napoleon’s Theorem Check: Constructing Equilateral Triangles and Area Relations

@gaiano.andino

Geometric Construction of Triangle Proportions via Incircle and Angle Bisectors

Geometric Construction of Triangle Proportions via Incircle and Angle Bisectors

@gwengler

Wallace–Simson Theorem Construction

Wallace–Simson Theorem Construction

@gwengler

Euler Line and the Polar-Ellipse of a Triangle

Euler Line and the Polar-Ellipse of a Triangle

@bunryu

Locus of the pole (polar) from tangents to the incircle

Locus of the pole (polar) from tangents to the incircle

@bunryu

Kariya Point and Feuerbach Hyperbola Visualization

Kariya Point and Feuerbach Hyperbola Visualization

@ilarrosa

Construct the orthocenter as high intersection XYZ, linked to circumcenter

Construct the orthocenter as high intersection XYZ, linked to circumcenter

@gwengler

Constructing a 9-Point Conic (9-Punkte-Kegelschnitt)

Constructing a 9-Point Conic (9-Punkte-Kegelschnitt)

@gwengler

Newton–Gauss Line in a Triangle: A Construction for Collinearity

Newton–Gauss Line in a Triangle: A Construction for Collinearity

@gwengler

Steiner Circle in a Complete Quadrilateral: Perpendicular Bisector Lemma

Steiner Circle in a Complete Quadrilateral: Perpendicular Bisector Lemma

@bunryu

Steiner Circle via Perpendicular Bisector Intersection in a Complete Quadrilater

Steiner Circle via Perpendicular Bisector Intersection in a Complete Quadrilater

@bunryu

Miquel Point of a Cyclic Complete Quadrilateral: Orthogonal Circles via a Midpoi

Miquel Point of a Cyclic Complete Quadrilateral: Orthogonal Circles via a Midpoi

@bunryu

Miquel Point of an Inscribed Complete Quadrilateral: A Perpendicularity Proof

Miquel Point of an Inscribed Complete Quadrilateral: A Perpendicularity Proof

@bunryu

Euler Line in a Cyclic Quadrilateral (Euler-Geraden)

Euler Line in a Cyclic Quadrilateral (Euler-Geraden)

@gwengler

Constructing a Triangle’s Notable Points: Centroid, Orthocenter, and Circles

Constructing a Triangle’s Notable Points: Centroid, Orthocenter, and Circles

@Vito Garganese

Geometric construction of the Euler line (Eulergerade) in a triangle

Geometric construction of the Euler line (Eulergerade) in a triangle

@gwengler

Constructing a Triangle via the Centroid Line (Schwerliniendreieck)

Constructing a Triangle via the Centroid Line (Schwerliniendreieck)

@gwengler

Constants in a Triangle: Orthocenter and Circumcenter Relations

Constants in a Triangle: Orthocenter and Circumcenter Relations

@daothanhoai

Hyperbola as Locus in a Triangle

Hyperbola as Locus in a Triangle

@gwengler

2D Steiner Theorem: Invariance of the Sum of Squared Distances

2D Steiner Theorem: Invariance of the Sum of Squared Distances

@roman

Locus of a Point with Constant Weighted Sum of Squared Distances to N Fixed Poin

Locus of a Point with Constant Weighted Sum of Squared Distances to N Fixed Poin

@roman

Constant sum of squared distances from a circle point to a regular polygon

Constant sum of squared distances from a circle point to a regular polygon

@ilarrosa

Geometric construction for a constant sum of squares

Geometric construction for a constant sum of squares

@arranz

Sum of Squares of Radial Segments via Riemann Sums

Sum of Squares of Radial Segments via Riemann Sums

@gwengler

Geometric Construction for the Sum of the Fourth Powers of Diagonals

Geometric Construction for the Sum of the Fourth Powers of Diagonals

@gwengler

Pentagon with Circle via Barycenter

Pentagon with Circle via Barycenter

@gwengler