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Online Geometry: Circles, Theorems and Problems

Circles, Theorems and Problems: Table of Content (Page 4 of 10)

Circles

Circles, Tangent, Concyclic points

Proposed Problem 355.
Circles, Common external tangent, Concyclic points.

Tangential quadrilateral

Proposed Problem 352.
Tangential quadrilateral, Incircles, Common tangent, Circumscribable or Tangential quadrilateral.

Rhombus, Circumscribable quadrilateral

Proposed Problem 351.
Rhombus, Incircles, Common tangent, Circumscribable or Tangential quadrilateral.

Triangle, Cevian, Incircles, Angles

Proposed Problem 350.
Triangle, Cevian, Incircles, Tangents, Tangency Point, Angles.

Triangle, Cevian, Incircles

Proposed Problem 349.
Triangle, Cevian, Incircles, Tangents, Tangency Point.

Common tangents

Proposed Problem 348.
Circles, Common External Tangents, Common Internal Tangent.

Triangle, Altitude, Circle, Concyclic points

Proposed Problem 347.
Triangle, Altitude, Perpendicular, Circle, Concyclic points.

Geometry Problem: Equal circles, Tangents, Hexagon

Proposed Problem 346.
Equal circles, Tangents, Hexagon, Semiperimeter.

Geometry Problem: Equal circles, Tangents

Proposed Problem 345.
Equal circles, Tangents, Concurrent lines, Hexagon, Semiperimeter.

Quadrilateral, Circle, Tangent

Proposed Problem 344.
Quadrilateral, Extension of sides, Circle, Tangent, Semiperimeter.

Hexagon, Inscribed Circle

Proposed Problem 343.
Hexagon, Inscribed circle, Tangent, Semiperimeter.

Pentagon, Circle, Tangent,Semiperimeter

Proposed Problem 342.
Pentagon, Inscribed circle, Tangent, Semiperimeter.

Triangle, inscribed circle, tangent

Proposed Problem 341.
Triangle, Inscribed circle, Tangent, Semiperimeter.

Problem 338 concyclic points

Proposed Problem 338.
Triangle, Circumcircle, Inscribed Circle, Exterior angle bisector, Concyclic points.

Isosceles Trapezoid, Concyclic Points

Proposed Problem 337.
Isosceles Trapezoid, Angle bisector, Parallel, Concyclic points.

Tangent circles, Square

Proposed Problem 336.
Two equal circles, a Common Tangent and a Square.

Cyclic Quadrilateral, Perpendiculars to Sides

Proposed Problem 335.
Cyclic Quadrilateral, Perpendiculars to Sides.

Problem 334 Cyclic Quadrilateral, Perpendiculars to Diagonals

Proposed Problem 334.
Cyclic Quadrilateral, Perpendiculars to Diagonals.

Circle and Inscribed Semicircle

Proposed Problem 333.
Circle inscribed in a semicircle, Perpendicular to the common tangent.

Cyclic Quadrilateral Problem

Proposed Problem 332.
Cyclic quadrilateral, Ratio of diagonals, Similarity.

Elearning 331 Square, Inscribed Circle

Proposed Problem 331.
Square, Point on the Inscribed Circle, Tangency Points.

Cyclic quadrilateral

Proposed Problem 330.
Cyclic quadrilateral, Perpendicular diagonals, Area, Circumcenter.

Triangle, Altitudes, Concyclic Points

Proposed Problem 329.
Triangle, Altitudes, Circle, Diameter, Concyclic points.

Triangle, Incircle, Parallel, Midpoint

Proposed Problem 328.
Triangle, Incircle, Tangency Points, Parallel, Midpoint.

Right triangle Area, Semicircle, Square

Proposed Problem 327.
Right triangle Area, Incircle, Circumcircle, Square.

Equilateral triangle and semicircle

Proposed Problem 326.
Equilateral triangle, Semicircle, Equal arcs.

Isosceles triangle, Altitude, Incircle, Excircle

Proposed Problem 325.
Isosceles triangle, Altitude, Cevian, Incircle, Excircle.

Triangle, Incenter, Circumcenter, Collinear

Proposed Problem 323.
Triangle, Incenter, Circumcenter, Equal circles, Collinearity.

Area of a triangle

Proposed Problem 322.
Square, Inscribed circle, Tangent, Triangle area.

Triangle, Circumcenter, Incenter, Excenter, Collinear

Proposed Problem 320.
Triangle, Circumcircle, Incenter, Excenter, Collinear points.

Circular Segments, Inscribed Squares

Proposed Problem 316.
Circular segments and Inscribed Squares.

Three Tangent Circles

Proposed Problem 315.
Three Tangent circles, Common external tangent line, Geometric Mean.

Tangent circles and line

Proposed Problem 314.
Tangent circles, Common external tangent line, Geometric Mean.

Circle, Chord, Tangent, Perpendicular

Proposed Problem 313.
Circle, Chord, Tangent, Perpendicular, Geometric Mean.

Elearning 312: Cyclic quadrilateral

Proposed Problem 312.
Cyclic quadrilateral, Side extensions, Tangents.

Circle, Semicircle, Chord, Diameter

Proposed Problem 311.
Circle Inscribed in a Semicircle, Chord, Diameter.

Circle inscribed in a semicircle

Proposed Problem 310.
Circle Inscribed in a Semicircle, 45 Degrees Angle.

Nonagon problem

Proposed Problem 309.
Regular Nonagon or Enneagon, Diagonals, Side.

Elearning Geometry Problem 308

Proposed Problem 308.
Regular Nonagon or Enneagon, Midpoints, Side, Arc, Angle.

Nonagon, Midpoints, Angle

Proposed Problem 307.
Regular Nonagon or Enneagon, Midpoints, Side, Arc, Angle.

Tangents to a circle, Secants

Proposed Problem 301.
Tangents to a circle, Secants, Square.

Problem: Tangent to a circle

Proposed Problem 300.
Tangent to a circle, Secants, Square.

Intersecting circles, Chord, Secant, Midpoint

Proposed Problem 299.
Intersecting Circles, Chord, Secant, Midpoint, Congruence.

Elearning 298: Intersecting circles

Proposed Problem 298.
Intersecting Circles, Chord, Secant, Midpoint, Congruence.

Intersecting circles, Chord, Secant, Radius, Angle, Perpendicular

Proposed Problem 297.
Intersecting Circles, Chord, Secant, Radius, Angle, Perpendicular.

Intersecting circles

Proposed Problem 296.
Intersecting Circles, Chord, Radius, Angle, Perpendicular.

Archimedes Twin, Harmonic mean

Proposed Problem 295.
Archimedean Twin Circles, Arbelos, Semicircles, Harmonic Mean, Radii, Perpendicular.

Right Triangle Circumcenter, Excenter

Proposed Problem 294.
Right triangle, Circumcenter, Excenter, Hypotenuse, Perpendicular.

Inscribed Quadrilateral

Proposed Problem 293.
Inscribed Quadrilateral, Perpendicular, Rectangle, Isosceles Right triangle, Area, Similarity.

Triangle, Circle, Radius, Perpendicular

Proposed Problem 291.
Triangle, Circle, Circumradius, Perpendicular.

Tangent Circles, Radius

Proposed Problem 290.
Internally Tangent circles, Radius, Perpendicular, Tangent.

Geometry Expressions

Geometry Expressions.

Tangent Circles

Proposed Problem 289: Tangent circles, Radius, Perpendicular, Tangent.

Tangent Circles, Harmonic Mean

Proposed Problem 288: Tangent circles, Harmonic Mean, Radius, Diameter.

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