
The following problems from gogeometry.com are published and illustrated in the Wolfram Demonstrations Project. Every demonstration undergoes a rigorous review process to ensure quality, clarity, and accuracy, adhering to standards similar to those of traditional academic publications.


Proposed Problem
80. Area of a triangle,
side, incircle, inradius.
"The Area of a Triangle inside the Incircle" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/TheAreaOfATriangleInsideTheIncircle/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Proposed Problem
66: Triangle, Excircle, Tangents, Geometric Mean.
"Tangents to an Excircle" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/TangentsToAnExcircle/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Triangle: Incircle, Perpendicular, Angle Bisector.
Using Tracenpoche Interactive Geometry Software.
"An Angle Bisection" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/AnAngleBisection/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Proposed Problem 52: Triangle, angles, incircle.
"A Congruent Angle inside the Incircle" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/ACongruentAngleInsideTheIncircle/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez


Archimedes: Proposition 2
Semicircle, diameter, tangents, secant line.
"A Lemma of Archimedes about a Bisected Segment" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/ALemmaOfArchimedesAboutABisectedSegment/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Archimedes: Proposition 12
Semicircle, Diameter, Chords, Tangents, Perpendicular.
"Tangent Points on a Semicircle" from The Wolfram Demonstrations Project"
http://demonstrations.wolfram.com/TangentPointsOnASemicircle/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Problem 32.
Triangle, Cevian, Incircles, Tangents.
"Incircles and a Cevian" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/IncirclesAndACevian/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Proposed Problem
98. Quadrilateral Area, Centroid,
Similarity.
"The Quadrilateral of Centroids" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/TheQuadrilateralOfCentroids/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Archimedes: Proposition 13
Circle, Diameter, Chord, Perpendicular, Congruence.
"Perpendiculars to a Chord" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/PerpendicularsToAChord/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Archimedes Proposition 1.
Tangent circles and parallel diameters
"Tangent Circles and Parallel Diameters" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/TangentCirclesAndParallelDiameters/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Proposed Problem
160. Triangle, Incircle, Incenter, Circumcircle, Circumcenter, Inradius.
"The Line through the Incenter and Circumcenter" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/TheLineThroughTheIncenterAndCircumcenter/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Proposed Problem
159. Distances from the Circumcenter to the Incenter and the Excenters.
"The Distances to the Incenter and Excenters from the Circumcenter" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/TheDistancesToTheIncenterAndExcenters
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Proposed Problem
157. Distance from the Circumcenter to the Excenter.
"The Distance from the Circumcenter to an Excenter" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/TheDistanceFromTheCircumcenterToAnExcenter/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Proposed Problem
156. Triangle, Circumradius, Exradius, Chord, Secant line.
"The Product of the Circumradius and an Exradius" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/TheProductOfTheCircumradiusAndAnExradius/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Proposed Problem
118. Area of triangle,
incenter, excenter,
tangent.
"Another Relation between the Areas of Triangles Associated with an Excircle" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/AnotherRelationBetweenTheAreasOfTriangles
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez


Proposed Problem
119. Area of triangle,
incenter, excircle,
tangent.
"On the Areas of Triangles Associated with an Excircle" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/OnTheAreasOfTrianglesAssociatedWithAnExcircle/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez


Trapezoid, Triangle, Diagonals, Midpoints.
Using Tracenpoche Interactive Geometry Software.
"Two Midpoints of a Trapezoid" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/TwoMidpointsOfATrapezoid/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Proposed Problem
136. Orthic Triangle, Altitudes, Perpendicular, Concyclic Points.
"Three Concyclic Sets of Points Associated with the Orthic Triangle" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/ThreeConcyclicSetsOfPoints
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Proposed Problem
143. Four Triangles, Incircle, Tangent and Parallel to Side, Circumradii.
"The Sum of the Circumradii of Three Subtriangles" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/TheSumOfTheCircumradiiOfThreeSubtriangles/
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Proposed Problem
142. Four Triangles, Incircle, Tangent and Parallel to Side, Areas.
"The Sum of the Square Roots of the Areas of Three Subtriangles" from The Wolfram Demonstrations Project:
http://demonstrations.wolfram.com/TheSumOfTheSquareRootsOfTheAreas
Contributed by: Jay Warendorff
After work by: Antonio Gutierrez 

Software Index. 

Dynamic Geometry. 

Geometry Expressions. 