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Geometry: Incenter, Incircle, Inradius of a triangle, Theorems and Problems
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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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Distances between Triangle Centers
Index.
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GeoGebra, Dynamic Geometry: Incenter and Incircle
of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..) |
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Gergonne Points
Index
Triangle Center |
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Nagel Points
Index
Triangle Center |
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Right triangle, Altitude, Incircle
Right Triangle, Altitude to the Hypotenuse, Incircle, Incenter, Inradius, Angle Bisector, Theorems and Problems, Index. |
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Sawayama -Thebault's
theorem
Incenter, Incircle, Circumcircle. |
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Distance between the Incenter and the Centroid of a
Triangle.
Formula in terms of the sides a,b,c. |
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Geometry
Problem 1492.
Right Triangle, Altitude, Incenters, Angle, Measurement. |
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Geometry
Problem 1491.
Cyclic Quadrilateral, Diagonal, Incircle, Angle, Measurement. |
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Geometry
Problem 1490.
Triangle, Cevian, Incircle, Tangent, Measurement. |
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Geometry
Problem 1489.
Right Triangle, Angle Bisectors, Perpendicular, Measurement. |
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Geometry
Problem 1488.
Right Triangle, Altitude, Incircle, Tangent, Measurement. |
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Geometry
Problem 1487.
Right Triangle, Altitude, Incircle, Tangent, Measurement. |
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Geometry
Problem 1486.
Right Triangle, Altitude, Incircle, Tangent, Measurement. |
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Geometry
Problem 1484.
Right Triangle, Altitude, Incircles, Inradius, Measurement. |
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Dynamic Geometry 1481.
Five Tangential or Circumscribed Quadrilaterals, Pitot Theorem, Congruence, Step-by-step Illustration. GeoGebra,
iPad. |
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Dynamic Geometry 1480.
Japanese Theorem for Cyclic Polygon, Sangaku, Triangulation, Non-intersecting Diagonals, Sum of Inradii, Invariant, Step-by-step Illustration. GeoGebra,
iPad. |
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Dynamic Geometry 1471.
Equilateral Triangle, Inside/Outside Point, Incenters, Tangency Points, Concurrent Lines, Step-by-step Illustration. |
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Dynamic Geometry 1470.
Tangential Quadrilateral, Incircles, Tangent,
Parallel, Rhombus, 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 1466.
Tangential Quadrilateral, Newton Line, Incenter, Midpoint, Diagonal, Collinear Points.
Step-by-step Illustration using GeoGebra. |
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Geometry Problem 1465.
Tangential Quadrilateral, Incenter, Inscribed Circle, Equal Sum of Areas.
Step-by-step Illustration using GeoGebra. |
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Geometry
Problem 1458.
Triangle, Incircles, Excircle, Area, Step-by-step Illustration using GeoGebra. |
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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 1455.
Nagel Point, Excircles, Incircle, Congruent Segments,
iPad. Step-by-step illustration using GeoGebra. |
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Dynamic Geometry 1452.
Japanese Theorem, Sangaku,
Cyclic Quadrilateral, Incenter, Rectangle, Inradius. 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 1421. Right Triangle, Incircle, Excircle, Tangent Lines, 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 1416. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, 45 Degree Angle. |
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Geometry Problem 1415. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles Triangle. |
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Geometry Problem 1414. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles Triangle. |
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Geometry Problem 1413. Right Triangle, Incircle, Excircle, Tangency Points,
Isosceles Right Triangle. |
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Geometry Problem 1412. Right Triangle, Incircle, Excircle, Tangency Points,
45 Degree Angle. |
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Geometry Problem 1411. Right Triangle, Incircle, Excircle, Tangency Points,
Isosceles Right Triangle. |
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Geometry Problem 1410. Right Triangle, Incircle, Excircle, Tangency Points,
45 Degree Angle. |
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Geometry Problem 1409. Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity. |
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Geometry Problem 1408. Right Triangle, Incircle, Excircle, Incenter, Midpoint, Tangency Point, Collinearity. |
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Geometry Problem 1407. Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity. |
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Geometry Problem 1388. Triangle 40-60-80 degree, Incenter, Congruence. |
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Geometry Problem 1350. Triangle with three Intersecting Circles, Incircle, Collinear Points. |
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Geometry Problem 1349. Three Squares, 90 Degrees, Perpendicular Lines, Diagonal. Math Infographic. |
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Geometry Problem 1348. Three Concentric Circles, Equilateral Triangle, Perpendicular Bisector, Congruence. |
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Geometry Problem 1347. Triangle, Angle Bisector, Congruence, Circumcircle, Tangent, Equilateral Triangle. |
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Geometry Problem 1346. Equilateral Triangle, Point on the Incircle, Altitude, Perpendicular, Sum of Squares, Distance. |
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Geometry Problem 1345. Three Equilateral Triangles, Center, Area, Common Vertex. |
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Geometry Problem 1344, Bottema's Theorem: Triangle and Squares with Interactive
Geometry Software. |
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Problem 1343.
Triangle, Excircles, Circle, Tangent, Tangency Points, Chord, Perpendicular, 90 Degrees, Collinearity. Machu Picchu in the background.
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Problem 1342.
Circle, Secant, Chord, Midpoint, Concyclic Points, Cyclic Quadrilateral.
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Last updated: Mar 9, 2022
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