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Circumcenter of a triangle - Table of Content
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Euclid's
Elements Book I, 23 Definitions. One-page visual illustration.
Euclid's
Elements Book. Index |
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Triangle Centers. |
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Nine-Point Center,
Nine-Point Circle, Euler Line (English version).
Circumcenter, Centroid, Orthocenter
Interactive illustration.
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Proposed
Problem 370.
Triangle with squares, Circumcircles, Tangent circles. |
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Proposed Problem
320.
Triangle, Circumcircle, Incenter, Excenter, Collinear points. |
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Puzzle: Euler Line and Nine Point Center
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Schiffler Point: Four Euler Lines with interactive animation and
manipulation.
Circumcenter, Centroid, Orthocenter, and Incenter. |
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Interactive
Simson Line.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Circumcenter O. |
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Angle between two
Simson Lines. Proof with animation.
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Simson Line. A proof
of Simson line with animation. |
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Triangle,
Three Medians, Six Concyclic Circumcenters.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation.
Prove proposition. |
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Proposed Problem
209. Circumcenter of the contact triangle.
Triangle, Incircles, Inradius. |
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Journey to the Center of a Triangle (1976).
Incenter, Circumcenter, Centroid, Orthocenter. |
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Feuerbach Points and Nine-Point Circle with interactive
animation, manipulation, and step-by-step construction.
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Feuerbach
Point Facts.
Distances between Feuerbach point and the incenter,
nine-point center,
centroid, Spieker point, and Circumcenter |
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Spieker Center |
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Interactive
Gergonne Line and Nobbs Points.
Circumcenter of the contact triangle.
Dynamic Geometry.
Step-by-Step construction, Manipulation, and animation. |
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Steiner Point
Circumcenter, Lemoine Point. |
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Symmedian (Lemoine) Point
Triangle Center |
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Sangaku Problem (An Old Japanese Theorem).
Inradii, Carnot's theorem. |
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Carnot Theorem.
Circumcenter, circumradius, inradius |
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Steiner Theorem. Circumcenter, circumradius, inradius,
exradii |
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Geometry Online
Glossary .
Geometry Glossary based on the new New York State
mathematics standards initiative. |
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Right Triangle:
Circumcenter. Centers, Inradius, Circumradius, Incenter, Circumcenter, Orthocenter, Centroid, Poncelet's theorem, Sagitta. |
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Proposed Problem
160. Triangle, Incircle, Incenter, Circumcircle, Circumcenter, Inradius. |
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Proposed Problem
159. Distances from the Circumcenter to the Incenter and the Excenters. |
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Proposed Problem
158. Circumcenter
Relation between the Circumradius, Inradius and Exradii of a triangle. |
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Proposed Problem
157. Distance from the Circumcenter to the Excenter. |
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Proposed Problem
156. Circumcenter
Triangle, Circumradius, Exradius, Chord, Secant line. |
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Proposed Problem
155. Euler's Theorem: Distance from the Incenter to the Circumcenter. |
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Proposed Problem
154. Circumcenter.
Triangle, Inradius, Circumradius, Chord. |
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Proposed Problem
145.
Four Triangles, Incircle, Tangent and Parallel to Side, Incenters, Circumcenters. |
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Proposed Problem
143. Circumcenter.
Four Triangles, Incircle, Tangent and Parallel to Side, Circumradii. |
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Proposed Problem
139. Circumcenter.
Triangle Area, Orthic Triangle, Semiperimeter, Circumradius. |
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Proposed Problem
138. Circumcenter.
Nagel's Theorem, Orthic Triangle, Altitudes, Circumradius, Perpendicular. |
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Proposed Problem
94. Circumcenters.
Similar Triangles, Circumcircles,
Circumradii. |
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Proposed Problem
93. Circumcenters.
Similar Triangles, Circumcircles, Parallelogram. |
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Proposed Problem
92. Circumcenters.
Similar Triangles, Circumcircles, Circumradii, Parallel. |
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Proposed Problem
86. Circumcenter of the intouch
triangle.
Intouch and Extouch Triangles, Areas. |
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Intouch and Extouch Triangles.
Puzzle cut: 20 Piece Classic
Based on Proposed Problem 86. |
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Proposed Problem
83. Circumcenter.
Area of the Excircle Contact
Triangle, exradius, circumradius. |
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Proposed Problem
82. Circumcenter.
Area of the Contact
Triangle, inradius, circumradius. |
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Proposed Problem
81. Circumcenter.
Area of a triangle,
side, inradius, circumradius. |
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Proposed Problem 67: Circumcenter
Triangle, Circumcircle, Angles, Cyclic
Quadrilateral.
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Miquel's
Pentagram with Dynamic Geometry.
Circumcenters.
You can alter the pentagram dynamically
in order to test and prove (or disproved) conjectures and gain
mathematical insight that is less readily available with static drawings
by hand. |
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Miquel's Pentagram Theorem
Interactive proof with animation and key theorems.
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Adams' Circle
Theorem. Circumcenter of
the contact triangle
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Lemoine Theorem.
Circumcenter. |
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Sawayama -Thebault's
theorem. Circumcenter. |
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Circulo de los Nueve Puntos: Spanish version.
Nine-Point Center,
Nine-Point Circle, Euler Line (English version) .
Interactive illustration.
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The Bevan Point The
circumcenter of the excentral triangle. Illustration with animation.
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The Bevan Point:
Puzzle
The
circumcenter of the excentral triangle. |
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Proposed Problem
248.
Napoleon's Theorem III. Inner and outer Napoleon triangles, Area. |
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Proposed Problem
247.
Napoleon's Theorem II. Internal Equilateral triangles. Inner Napoleon
triangle.
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Proposed Problem
246.
Napoleon's Theorem I. External Equilateral triangles. |
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