Machu Picchu, Geometry Theorems and Problems, Online Education

Geometry Theorems and Problems - Recent Additions (Page 4 of 15)

Euclidean Geometry

Geometry problem 866, Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees

Geometry Problem 866
Cyclic Quadrilateral, Circle, Rectangle, Center, Congruence, 90 Degrees.

Geometry problem 865, Parallelogram, Midpoint, Parallel

Geometry Problem 865
Parallelogram, Diagonal, Midpoint, Side, Triangle, Parallel, Similarity.

Geometry problem 854 about Parallelogram

Geometry Problem 864
Parallelogram, Diagonal, Congruence, Similarity, Metric Relations.

Dynamic Geometry: Nine Point Circle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Nine Point Circle
HTML5 Animation for Tablets (iPad, Nexus..)

Dynamic Geometry: Lemoine Line of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Lemoine Line of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Dynamic Geometry: Simson Line of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Simson Line of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Dynamic Geometry: Euler Line of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Euler Line of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Circumscribed trapezoid, Inscribed Circle, Tangent

Geometry Problem 863
Circumscribed trapezoid, Inscribed Circle, Tangent, Metric Relations.

Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square

Geometry Problem 862:
Trapezoid, Parallel, Equal Areas, RMS, Root Mean Square
.

GeoGebra Constructions Index

GeoGebra Constructions Index
HTML5 Animation for Tablets (iPad, Nexus..)

Triangle, Incircle, Parallel, Tangent, Metric Relations

Geometry Problem 861
Triangle, Incircle, Parallel, Tangent, Metric Relations.

Dynamic Geometry: Circumcenter and Circumcircle of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Circumcenter and Circumcircle of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Dynamic Geometry: Centroid of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Centroid of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Dynamic Geometry: Incenter and Incircle of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Incenter and Incircle of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Root Mean Square in Geometry

Root Mean Square (RMS) in Geometry Index

.

Geometry Art Problems

Geometry Art Problems for Desktops, High-end mobile devices and Tablets (iPad, Nexus)
Visual Index.

Dynamic Geometry: Orthocenter of a Triangle. HTML5 Animation for Tablets (iPad, Nexus..)

GeoGebra, Dynamic Geometry: Orthocenter of a Triangle.
HTML5 Animation for Tablets (iPad, Nexus..)

Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence

Geometry Problem 860
Triangle, Three Medians, Parallel, Parallelogram, Area, Congruence.

Nine-point-circle, Euler Line, HTML5 Animation for iPad and Nexus

Nine-Point Center, Nine-Point Circle, Euler Line. Interactive illustration.
Circumcenter, Centroid, Orthocenter
HTML5 Animation for iPad and Nexus

Lemoine Line Theorem

Lemoine Line Theorem, Interactive illustration.
HTML5 Animation for iPad and Nexus

Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector

Geometry Problem 859
Isosceles Right Triangle, Angles,18, 45 Degrees, Congruence, Perpendicular bisector.

Gergonne Point Theorem

Gergonne Point Theorem. Concurrency. Interactive proof with animation.
HTML5 Animation for Tablets (iPad, Nexus)
Adobe Flash Animation

Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines

Geometry Problem 858
Isosceles Right Triangle, Cevian, Ratio 2:1, 45 Degrees, Congruence, Angles, Auxiliary Lines.

Problem 856: Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines

Geometry Problem 857
Triangle, Median, Midpoint, Angles, 30, 45 Degrees, Congruence, Auxiliary Lines.

Problem 856: Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines

Geometry Problem 856
Quadrilateral, Diagonals, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

Butterfly theorem proof. HTML5 Animation for iPad and Nexus

Butterfly theorem proof
HTML5 Animation for iPad and Nexus.

Platonic Solids, Interactive animation.
HTML5 Animation for iPad and Nexus

Johnson: Intersecting circles

Johnson's Theorem, Intersecting circles.
HTML5 Animation

Problem 855: Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines

Geometry Problem 855
Quadrilateral, Triangle, Angles, 30 degrees, Congruence, Auxiliary lines.

Problem 854: Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines

Geometry Problem 854
Triangle, Parallel lines, Parallelogram, Areas, Similarity, Concurrent lines.

Problem 853: Square, Arc, Quadrant, Triangle, Perpendicular, Metric Relations

Geometry Problem 853
Square, Arc, Quadrant, Triangle, Perpendicular, Metric Relations.

Problem 852: Triangle, Incircle, Inradius, Tangent, Metric Relations

Geometry Problem 852
Triangle, Incircle, Inradius, Tangent, Metric Relations.

Problem 851: Triangle, Triple side, Angles, 90 Degrees. Special Right triangle

Geometry Problem 851
Triangle, Triple side, Angles, 90 Degrees, Special Right triangle, Sides ratio 1:3.

Problem 850: Triangle, Double side, Angles, 90 Degrees. Special Right triangle

Geometry Problem 850
Triangle, Double side, Angles, 90 Degrees. Special Right triangle.

Special Right triangle, Catheti or legs ratio 1:3, 18.5 Degrees. Double angle

Geometry Problem 849
Special Right triangle, Catheti or legs ratio 1:3, 18.5 Degrees. Double angle.

Special Right triangle, Catheti or legs ratio 1:2, 26.5 Degrees. Double angle

Geometry Problem 848
Special Right triangle, Catheti or legs ratio 1:2, 26.5 Degrees. Double angle.

iPad Apps IGS Apollonius: Feuerbach Point. Triangle, Incircle, Nine point circle, Tangent circles, Orthocenter, Midpoint 

iPad Apps: Apollonius Software. Feuerbach Point. Triangle, Incircle, Nine point circle, Tangent circles, Orthocenter, Midpoint.
Interactive Geometry Software for iPad.

iPad Apps: Geometry Designer Geometry Software

Geometry Designer for iPad, iPhone, iPod - Index
Dynamic Geometry.

van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points

Geometry Problem 847
van Lamoen Circle, Triangle, Medians, Centroid, Six Circumcenters, Concyclic Points.

iPad Apps IGS Geometry Designer Illustration: Circle of van Lamoen 

iPad Apps, Geometry Designer Illustration. Circle of van Lamoen.
Interactive Geometry Software for iPad, iPhone, iPod.

iPad App Geometry Designer Four Circles Theorem

iPad Apps: Geometry Designer Illustration. Four Circles Theorem.
Interactive Geometry Software for iPad, iPhone, iPod.

Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity

Geometry Problem 846
Triangle, Medians, Centroid, Four Circumcenters, Concyclic Points, Cyclic Quadrilateral, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 845
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 844
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Parallel, Congruence, Similarity

Geometry Problem 843
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Parallel, Congruence, Similarity.

Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 842
Triangle, Medians, Centroid, Four Circumcenters, Perpendicular, Congruence, Similarity.

Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity

Geometry Problem 841
Triangle, Medians, Centroid, Circumcenters, Perpendicular, Congruence, Similarity.

van Lamoen Circle Index

van Lamoen Circle - Index.

Parallelogram, Perpendicular, Diagonal, Metric Relations, Similarity

Geometry Problem 840
Parallelogram, Perpendicular, Diagonal, Metric Relations, Similarity.

Problem 839: Parallelogram, Perpendicular, Diagonal, Metric Relations

Geometry Problem 839
Problem 839: Parallelogram, Perpendicular, Diagonal, Metric Relations.

Parallelogram, Perpendicular, Diagonal, Metric Relations

Geometry Problem 838
Parallelogram, Perpendicular, Diagonal, Metric Relations.

Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points

Geometry Problem 837
Triangle, Orthocenter, Circumcenter, Circle, Concyclic Points.

Parallelogram, Perpendicular, Diagonal, Similarity, Metric Relations

Geometry Problem 836
Parallelogram, Perpendicular, Diagonal, Similarity, Metric Relations.

Isosceles Triangle, Double Angle, Triple Angle, Auxiliary Lines

Geometry Problem 835
Isosceles Triangle, Double Angle, Triple Angle, Auxiliary Lines.

Prezi Presentation: A Geometry Course by Mark Vasicek

Prezi Presentation: A Geometry Course by Mark Vasicek
 

Parallelogram, Diagonal, Similarity, Geometric Mean, Mean Proportional

Geometry Problem 834
Parallelogram, Diagonal, Similarity, Geometric Mean, Mean Proportional.

Mean in Geometry, Index

Mean in Geometry.
Index.

Parallelogram, Diagonal, Similarity, Proportion

Geometry Problem 833
Parallelogram, Diagonal, Similarity, Proportion.

Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence

Geometry Problem 832
Quadrilateral, Isosceles triangle, 70-70-40 degrees, Congruence, Auxiliary lines, Equilateral triangle.

Quadrilateral, Triangle, Angles, 30 degrees, Congruence

Geometry Problem 831
Quadrilateral, Diagonal, Midpoint, Opposite Angles, Congruence, Parallelogram.

Quadrilateral, Triangle, Angles, 30 degrees, Congruence

Geometry Problem 830
Quadrilateral, Triangle, Angles, 30 degrees, Congruence.

Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations

Geometry Problem 829
Triangle, Circumcircle, Parallel, Chord, Side, Metric Relations.

Geometry Problem Quadrilateral Midpoint

Geometry Problem 828
Quadrilateral, Midpoint, Opposite sides, Diagonals, Concurrent lines, Triangle, Bimedian.

Semicircle, Chord, Arc, Area

Geometry Problem 827: Brianchon Corollary
Circumscribed Hexagon, Tangency Points, Diagonal, Opposite Sides, Concurrent lines.

Brianchon's Theorem, Circumscribed Hexagon, Concurrent Diagonals

Geometry Problem 826: Brianchon's Theorem
Circumscribed Hexagon, Concurrent Diagonals.

Semicircle, Chord, Arc, Area

Geometry Problem 825.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area.

Desargues' Theorem, Triangles in Perspective

Geometry Problem 824
Desargues' Theorem, Triangles in Perspective.

Tangent Circles, Diameter, Perpendicular, Triangle, Area, Tangency Point

Geometry Problem 823.
Tangent Circles, Diameter, Perpendicular, Chord, Secant, Triangle, Area, Tangency Point.

Area of a Circle

Circle Area. Index.
Theorems and Problems. 
 

Semicircle, Chord, Arc, Area

Geometry Problem 822.
Circle, Semicircle, Arc, Chord, Midpoint, Sector, Triangle, Area.

Adams Circle

Geometry Problem 821.
Adams Circle.

Triangle, Angles, 30 Degrees

Geometry Problem 820.
Triangle, Cevian, Angles, 30 Degrees.

Geometry problems 811-820

Geometry Problems 811 - 820.
Triangle, Circle, Quadrilateral, Square, Pitot Theorem, Arbelos, Tangent, 30 Degrees.

Quadrilateral, Triangle, Angles

Geometry Problem 819.
Quadrilateral, Triangle, Angles, 30 degrees.

Square, Triangle, Angle

Geometry Problem 818.
Square, Triangle, Angle.

Two Circles, Tangent Lines

Geometry Problem 817.
Two circles, Tangent Lines, Circumscribed Quadrilaterals.

Tangential Quadrilateral: Pitot Theorem

Geometry Problem 816.
Tangential or Circumscribed Quadrilateral: Pitot Theorem.

Triangle, Incircle, Arbelos, Area

Geometry Problem 815.
Triangle, Incircle, Semicircles, Arbelos, Area.

Equilateral triangles, a common vertex

Geometry Problem 814.
Two Equilateral Triangles with a common Vertex, Angle.

Right triangle, Excircles, Area

Geometry Problem 813.
Right Triangle Area, Excircles, Cathetus, Tangency Points, Quadrilateral Area.

Circle Area, Tangent 

Geometry Problem 812.
Four Tangent Circles, Common Tangent Line, Diameter, Area, Collinear Centers.

Trisecting a line segment, 4 circles

Geometry Problem 811: Trisecting a line segment.
With four circles and one line.

Trisecting a line segment, 2 circles

Geometry Problem 810: Trisecting a line segment.
With two circles and eight lines.

Trisecting a segment with three circles

Geometry Problem 809: Trisecting a line segment.
With three circles and four lines.

Parallelogram, Perpendicular, Semicircle, Area

Geometry Problem 808
Parallelogram, Perpendicular, Right Triangle, Semicircle Area, Diameter.

Right Triangle Area, Incircle, Semicircle

Geometry Problem 807
Right Triangle Area, Incircle, Tangency Points, Semicircle Area.

Lines, Theorems and  Problems Index

Lines. Theorems and Problems.

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