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Online Geometry: Circles, Theorems and Problems

Circles, Theorems and Problems: Table of Content (Page 5 of 10)

Circles

Sagitta, Arc, Chord

Sagitta, Arc, Chord.

Pi: Irrational Math Constant

Pi Day.
Saturday, March 14, 2009 = 3.14
It's time to get irrational. Tomorrow is Pi Day, when mathematicians will gather to celebrate the mystery of science's most famous strange number.

Go Geometry Education Index

Go Geometry Education Index

Triangle, Circle, Radius, Perpendicular

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

Tangent Circles, Radius

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

Tangent Circles

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

Circula Sector, Semicircles, Circle

Proposed Problem 285.
Circular Sector 90 degrees, Semicircles, Circle, Tangent, Radius.

Elearning 284: Circular Sector

Proposed Problem 284.
Circular Sector 90 degrees, Semicircles, Tangent, Radius.

Circular Sector

Proposed Problem 283.
Circular Sector 90 degrees, Semicircle, Circle inscribed, Radius.

Elearning 279: Tangent circles

Proposed Problem 279.
Tangent Circles, Common External Tangent, Chords, Inradius.

Tangent Circles, Common External Tangent, Chord

Proposed Problem 278.
Tangent Circles, Common External Tangent, Chord.

Tangent Circles

Proposed Problem 277.
Tangent Circles, Common External Tangent.

Square, Circle, 90 Arc

Proposed Problem 276.
Square, 90 degree Arcs, Circle, Radius.

Sagitta Problem

Proposed Problem 275.
Right Triangle, Circumcircle, Sagitta, Inradius.

Cube of the external common tangent

Proposed Problem 271.
Tangent Circles, the Cube of the Common external tangent.

Tangent circles, common tangent 

Proposed Problem 270.
Tangent Circles, Common external tangent, Fractional exponents.

Regular hexagon inscribed in a circle

Proposed Problem 262.
Regular Hexagon inscribed in a circle, sum of distances.

Regular pentagon inscribed

Proposed Problem 261.
Regular Pentagon inscribed in a circle, sum of distances.

Problem 257: Equilateral triangle, circumcircle

Proposed Problem 257.
Equilateral Triangle, Circumcircle, Point, Vertices, Side, Distances, Squares.

Elearning 256: Equilateral triangle

Proposed Problem 256.
Equilateral Triangle, Circumcircle, Point, Vertices, Distances.

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. Outer Napoleon triangle.

Right triangle, inradius, altitude, arithmetic mean

Proposed Problem 220. Right Triangle, Altitude, Angle Bisector, Distance, Arithmetic Mean.  

Elearn 215: Cyclic quadrilateral

Proposed Problem 215. Quadrilateral, Angle Bisectors, and Cyclic Quadrilateral.

Elearn 213 Triangle Inradius, Common Tangents

Proposed Problem 213. Triangle, Incircle, Inradius, Semicircles, Common Tangents.  

Archimedes Arbelos and Square

Archimedes Arbelos and Square 2. Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation.
 

Archimedes Arbelos and Square

Archimedes Arbelos and Square 1. Dynamic Geometry Software.
Step-by-Step construction, Manipulation, and animation.
 

Elearn 209

Proposed Problem 209. Triangle, Incircles, Inradius.  

Elearn 208: Triangle, Angles

Proposed Problem 208. Triangle, Excircles, Angles, 360 degrees.  

Problem 207: Hypotenuse

Proposed Problem 207. Right Triangle, Hypotenuse, Inradius, Exradius relative to the hypotenuse.  

Elearn 206

Problem 206. Area of a Right Triangle, Inradius, andExradius relative to the hypotenuse.  

Right triangle area

Proposed Problem 205. Right Triangle Area, Exradii relatives to legs or catheti.  

Elearn 204

Proposed Problem 204. Right Triangle, Incircle, Excircles, Inradius, Exradii.  

Problem 203

Proposed Problem 203. Right Triangle, Excircles, Exradii, Hypotenuse.  

Problem 202 Right triangle, excircles

Proposed Problem 202. Right Triangle, Incicrle, Excircles relatives to catheti, Points of Tangency, Exradius, Semiperimeter.

Elearn 201

Proposed Problem 201. Right Triangle, Excircles, Points of Tangency, Exradius, Semiperimeter.

Elearning 200: Right Triangle

Proposed Problem 200. RightTriangle, Incircle, Excircles, Points of Tangency, Inradius.

Elearning 197: Triangle Area

Proposed Problem 197. Area of a Triangle, Side, Inradius, and Exradius.

Elearning 196: Inradius, Exradii

Proposed Problem 196. Triangle, Inradius and Exradii Formula.

Geometry: Triangle Area, inradius, exradii

Proposed Problem 195. Area of a Triangle, Inradius, Exradii.

Area of a triangle, semiperimeter, exradius

Proposed Problem 194. Area of a Triangle, Semiperimeter, Exradius.

Area of a triangle, semiperimeter, inradius

Proposed Problem 193. Area of a Triangle, Semiperimeter, Inradius.

Geometry Problem Circle, Diameter, and Chord

Proposed Problem 192. Circle, Diameter, Chord, Perpendicular, Triangle, Area.

Elearning 190 tangent circles, chord, perpendicular

Proposed Problem 190. Tangent circles, Tangent chord, Perpendicular, Distance.

Elearning 187: Right triangle, incircles, angles

Proposed Problem 187. Right Triangle, Altitude, Incenters, Circles, Angles.

Elearning 186: Right triangle, circles

Proposed Problem 186. Right Triangle, Altitude, Incenters, Circles.

Overlapping circles, Angle

Proposed Problem 182. Overlapping Circles, Find an angle.

Circular Sector 90 degree

Proposed Problem 181. Circular Sector of 90 degrees, find an angle.

Circle tangent externally, trapezoid, area

Proposed Problem 180. Circles Tangent Externally, Common External Tangents, Areas.

Elearning: Triangle, Circle, Incircle, Radius

Proposed Problem 160. Triangle, Incircle, Incenter, Circumcircle, Circumcenter, Inradius.

Triangle Elearning 159

Proposed Problem 159. Distances from the Circumcenter to the Incenter and the Excenters.

Geometry Problem 158

Proposed Problem 158. Relation between the Circumradius, Inradius and Exradii of a triangle.

Elearning triangle 157

Proposed Problem 157. Distance from the Circumcenter to the Excenter.

Elearning triangle 156

Proposed Problem 156. Triangle, Circumradius, Exradius, Chord, Secant line.  

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