Online Geometry

Circumcenter, Circumcircle, Circumradius of a triangle, Geometry, Theorems and Problems 5


Circumcenter/Circumcircle - Index 5

Circumcenter Index

Nagel Theorem

Proposed Problem 138. Circumcenter.
Nagel's Theorem, Orthic Triangle, Altitudes, Circumradius, Perpendicular.

Problem 94, Elearning

Proposed Problem 94. Circumcenters.
Similar Triangles, Circumcircles, Circumradii.

Elearning 93 Parallelogram

Proposed Problem 93. Circumcenters.
Similar Triangles, Circumcircles, Parallelogram.

Elearning Problem 92

Proposed Problem 92. Circumcenters.
Similar Triangles, Circumcircles, Circumradii, Parallel.

Proposed Problem 86. Circumcenter of the intouch triangle.
Intouch and Extouch Triangles, Areas.

Intouch and Extouch Triangles. Puzzle cut: 20 Piece Classic
Based on Proposed Problem 86.

Proposed Problem 83. Circumcenter.
Area of the Excircle Contact Triangle, exradius, circumradius.

Contact triangle area

Proposed Problem 82. Circumcenter.
Area of the Contact Triangle, inradius, circumradius.

Triangle area

Proposed Problem 81. Circumcenter.
Area of a triangle, side, inradius, circumradius.

Proposed Problem 67: Circumcenter
Triangle, Circumcircle, Angles, Cyclic Quadrilateral.

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.

Miquel's Pentagram Theorem

Miquel's Pentagram Theorem Interactive proof with animation and key theorems.

Adams' Circle Theorem. Circumcenter of the contact triangle

Lemoine Theorem. Circumcenter.

Sawayama -Thebault's theorem. Circumcenter.

Circulo de los nueve puntos, Spanish

Circulo de los Nueve Puntos: Spanish version.

Nine-Point Center, Nine-Point Circle, Euler Line (English version) .
Interactive illustration.

The Bevan Point The circumcenter of the excentral triangle. Illustration with animation.

The Bevan Point: Puzzle The circumcenter of the excentral triangle.

Elearning: Napoleon Theorem III

Proposed Problem 248.
Napoleon's Theorem III. Inner and outer Napoleon triangles, Area.

Napoleon Theorem II

Proposed Problem 247.
Napoleon's Theorem II. Internal Equilateral triangles. Inner Napoleon triangle.

Napoleon Theorem I

Proposed Problem 246.
Napoleon's Theorem I. External Equilateral triangles.

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