

Geometry: Circles, Chord, Diameter, Arc,
Semicircle, Tangent, Theorems and Problems

Circles  Table of Content
(Page 4)




Geometry Problem 1417. Triangle, Cevian, Circumcircle, Incenter, Perpendicular, Angle Bisector,
Tangent Lines, Tangent Circles. 

Geometry Problem 1416. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, 45 Degree Angle. 

Geometry Problem 1415. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles Triangle. 

Geometry Problem 1414. Right Triangle, Altitude, Incircle, Excircle, Tangency Points, Isosceles Triangle. 

Geometry Problem 1413. Right Triangle, Incircle, Excircle, Tangency Points,
Isosceles Right Triangle. 

Geometry Problem 1412. Right Triangle, Incircle, Excircle, Tangency Points,
45 Degree Angle. 

Geometry Problem 1411. Right Triangle, Incircle, Excircle, Tangency Points,
Isosceles Right Triangle. 

Geometry Problem 1410. Right Triangle, Incircle, Excircle, Tangency Points,
45 Degree Angle. 

Geometry Problem 1409. Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity. 

Geometry Problem 1408. Right Triangle, Incircle, Excircle, Incenter, Midpoint, Tangency Point, Collinearity. 

Geometry Problem 1407. Right Triangle, Incircle, Excircle, Collinear Tangency Points, Collinearity. 

Geometry Problem 1406. Four Congruent Circles, Measurement, Metric Relations,
Sum of the Squares. 

Geometry Problem 1405. Four Congruent Circles, Congruent Chords. 

Geometry Problem 1404. Three Circles, Center, Intersecting Points, Collinearity, Congruence. 

Geometry Problem 1402. Triangle, Three Tangent Circles, Parallel Diameter, Collinear Points. 

Geometry Problem 1401. Right Triangle with three circles on the sides, Isosceles, Diameter, Center, Tangent, Congruence. 

Geometry Problem 1399.
Triangle, Circumcircle, Perpendiculars, Angles, Congruence, Cyclic Quadrilateral. 

Geometry Problem 1398.
Isosceles Triangle, Circle, Radius, Perpendicular, Measurement. 

Geometry Problem 1397. Circle, Diameter, Tangent, Secant, 90 Degrees Angle,
Perpendicular, Collinear Points. 

Geometry Problem 1394. Three Circles and Three Pair of Common Internal Tangents, Concurrency. 

Geometry Problem 1393. Monge's Circle Theorem, Three Circles and Three Pair of Common Tangents, Collinearity. 

Geometry Problem 1392. Two Cyclic Quadrilateral, Cyclic Octagon, Circle. 

Geometry Problem 1391. Two Triangles, Ratio of Areas, Circumcircle. 

Geometry Problem 1385. Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, Midpoint, Collinear Points. 

Geometry Problem 1384. Triangle, Orthocenter, Circle, Circumcircle, Angle Bisector, 90 Degree. 

Geometry Problem 1383. Triangle, Median, Circle, Chord, Secant, Sum, Product. 

Geometry Problem 1382. Circle, Diameter, Radius, Perpendicular, Congruence. 

Geometry Problem 1380. Common
Internal Tangents. Circles, Secant, Congruent Chords. 

Conformal Mapping or Transformation of Problem
1382. 

Conformal Mapping or Transformation of Problem 291. 

Geometry Problem 1379. Common External Tangents. Circles, Secant, Congruent Chords. 

Geometry Problem 1377. Isosceles Triangle, Interior Cevian, Equal Sum of Exradii, Excircle. 

Geometry Problem 1376. Isosceles Triangle, Interior Cevian, Excircles, Tangency Points, Parallel Lines. 

Geometry Problem 1375. Isosceles Triangle, Interior Cevian, Exradius, Excircle, Altitude to the Base. 

Geometry Problem 1374. Isosceles Triangle, Exterior Cevian, Incircle, Excircle, Tangency Points, Parallel Lines. 

Geometry Problem 1373. Isosceles Triangle, Exterior Cevian, Inradius, Exradius, Altitude to the Base. 

Geometry Problem 1372. Equilateral Triangle, Exterior Cevian, Inradius, Exradius, Altitude, Sketch, iPad Apps. 

Geometry Problem 1366.
Square, Angle Bisector, Perpendicular, Concyclic Points, Circle, Sketch, iPad Apps. 

Geometry Problem 1365.
Circle, Tangent, Secant, Chord, Parallel, Midpoint, Sketch, iPad Apps. 

Geometry Problem 1364.
Square, Inscribed Circle, Area, Angle Bisector, Perpendicular, 45 Degrees, Sketch, iPad Apps. 

Geometry Problem 1362.
Equilateral Triangle Inscribed in a Circle, Lunula, Ratio of Areas, Tangent, Sketch, iPad Apps. 

Geometry Problem 1361.
Triangle, Two NinePoint Circles, Feuerbach's Circle, Euler's Circle, Congruent Angles, Sketch, iPad Apps. 

Geometry Problem 1360.
Triangle, NinePoint Circle, Feuerbach's Circle, Euler's Circle, Cyclic Quadrilateral, Concyclic Points, Sketch, iPad Apps. 

Geometry Problem 1359.
Triangle, Circumcircle, Congruent Angles, Midpoints. 

Geometry Problem 1355.
Triangle, Midpoint, Median, Circle, Chord, Equal Product of measure of segments. 

Art and typography of Geometry Problem 697. 

Geometry Problem 1354. Circle, Tangent Lines, Secant, Chord, Center, Parallel Lines. 

Geometry Problem 1353. Tangent Circles, Perpendicular Diameters, Congruence, 30 Degrees. 

Geometry Problem 1351. Two Tangential or Circumscribed Quadrilaterals, Midpoints, Perpendiculars. 

Geometry Problem 1350. Triangle with three Intersecting Circles, Incircle, Collinear Points. 

Geometry Problem 1348. Three Concentric Circles, Equilateral Triangle, Perpendicular Bisector, Congruence. 

Geometry Problem 1347. Triangle, Angle Bisector, Congruence, Circumcircle, Tangent, Equilateral Triangle. 

Problem 1343.
Triangle, Excircles, Circle, Tangent, Tangency Points, Chord, Perpendicular, 90 Degrees, Collinearity. Machu Picchu in the background.


Problem 1342.
Circle, Secant, Chord, Midpoint, Concyclic Points, Cyclic Quadrilateral.

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Email  by
Antonio Gutierrez
Last updated: Jan 12, 2020






