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Circumcenter, Circumcircle, Circumradius of a triangle, Geometry, Theorems and Problems
Circumcircle's realm,
Encircling geometric forms,
Radiant embrace.
Centered in symmetry's arms,
Geometry's celestial grace.
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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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Perpendicular
Bisector. |
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GeoGebra, Dynamic Geometry: Circumcenter and Circumcircle
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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Distances between Triangle Centers
Index.
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GeoGebra, Dynamic Geometry:
Euler Line
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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Nine-Point Center, Nine-Point Circle, Euler Line (English
version).
Circumcenter, Centroid, Orthocenter
Interactive illustration.
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Lester Circle Theorem.
Circumcenter. |
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van Lamoen Circle - Index. |
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Geometry Problem 1561:
Triangle ABC, Circumcenter O, Orthocenter H, Parallel Line, and Angle
Secrets. |
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Geometry Problem 1553: Solving for OC in Triangle ABC with Unique Angle Bisectors |
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Geometry Problem 1551: Unraveling Angle Relations in Cyclic Quadrilaterals: Solving for Angle GEJ: A High School Level Investigation |
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Geometry Problem 1541 Challenge: Unveiling BG Length in an Inscribed Quadrilateral with Harmonic Quaternary Insight for Academic Pursuit. |
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Dynamic Geometry 1479.
Triangle, Circumcircle, Angle Bisector,
Perpendicular Bisector, Chord, Concyclic Points, Parallel Lines,, Step-by-step Illustration. GeoGebra,
iPad. |
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Dynamic Geometry 1478.
Cyclocevian, Reuschle-Terquem Theorem, Concurrent Cevians, Triangle, Circumcircle, Secant line, Step-by-step Illustration. GeoGebra,
iPad. |
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Dynamic Geometry 1477.
Miquel's Pentagram Theorem, Pentagon, Triangle, Circumcircles, Concyclic Points, Step-by-step Illustration. GeoGebra,
iPad. |
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Dynamic Geometry 1473.
Kosnita's Theorem, Triangle, Four Circumcenters, Concurrent Line, Step-by-step Illustration. |
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Dynamic Geometry 1469.
Triangle, Circumradius, Inradius, Midpoints, Arcs, Sum of Distances, Step-by-step Illustration. |
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Dynamic Geometry 1468.
Steiner's Theorem, Triangle, Circumradius, Inradius, Sum of Exradii, Step-by-step Illustration. |
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Geometry
Problem 1457.
Altitudes, Circles, Similarity,
Product of the Inradii Lengths,
iPad. Step-by-step illustration using GeoGebra. |
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Geometry
Problem 1456.
Altitudes, Orthic Triangle, Circumcircle, Parallel lines, Similarity, Area,
iPad. Step-by-step illustration using GeoGebra. |
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Geometry Problem 1443.
Triangle Area, Incenter, Circumcenter, 90 Degree, Perpendicular, One-third
Area, Art, Poster, Typography, iPad Apps. |
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Geometry Problem 1438.
Triangle, Incenter, Centroid, Circumcenter, Parallel, 90 Degree, Art, Poster, Typography, iPad Apps. |
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Geometry Problem 1431.
Triangle, Circumcircle, Parallel Chord, Apollonius, LLC, Congruent Angles, Poster, Conformal Mapping. |
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Geometry Problem 1423. Triangle, Area, Three Equal Angles, Circumradius, Measurement. |
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Geometry Problem 1419. Triangle, Altitude, Circumcircle, Incenter, Inradius, Perpendicular, Angle Bisector, Midpoint. |
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Geometry Problem 1418. Triangle, Circumcircle, Incenter, Side, Sum of Segments, Tangent, Parallel, Angle. |
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Geometry Problem 1417. Triangle, Cevian, Circumcircle, Incenter, Perpendicular, Angle Bisector,
Tangent Lines, Tangent Circles. |
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Geometry Problem 1399.
Triangle, Circumcircle, Perpendiculars, Angles, Congruence, Cyclic Quadrilateral. |
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Geometry Problem 1391. Two Triangles, Ratio of Areas, Circumcircle. |
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Geometry Problem 1385. Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, Midpoint, Collinear Points. |
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Geometry Problem 1384. Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, 90 Degree. |
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Geometry Problem 1359.
Triangle, Circumcircle, Congruent Angles, Midpoints. |
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Geometry Problem 1347. Triangle, Angle Bisector, Congruence, Circumcircle, Tangent, Equilateral Triangle. |
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Problem 1341.
Geometry Problem 1341: Isosceles Triangle, 80-20-80 Degrees, Circumcenter, Angle Bisector.
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Problem 1337.
Parallelogram, Diagonals, Circle, Circumcircle, Tangent Line, Triangle, Congruence.
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Geometry Problem 1322.
Triangle, Angle Bisector, Circumcircle, Chord, Secant, Sum of two Angles. |
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Geometry Problem 1319.
Hexagons, Equilateral Triangles, Center, Midpoints. |
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Geometry Problem 1312.
Triangle, 60 Degrees, Circle, Circumcenter, Orthocenter, Altitude, Distance, Perpendicular, Measurement. |
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Geometry Problem 1311.
Inscribed Triangle, Circle, Circumcircle, Concyclic Points, Measurement. |
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Geometry Problem 1305.
Triangle, Circumcircle, Angle Bisector, Arc, Perpendicular, Area. |
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Geometry Problem 1277.
Equilateral Triangle, Circumcircle, Externally Tangent Circles, Tangent Line, Measurement. |
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Geometry Problem 1276.
Equilateral Triangle, Circumcircle, Internally Tangent Circles, Tangent Line, Measurement. |
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Geometry Problem 1274.
Isosceles Triangle, 80-20-80 Degrees, Area, Inradius, Circumradius, Angle Bisector, Metric Relations, Measurement. |
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| by Antonio Gutierrez
Last updated: Feb 18, 2024
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