College Geometry Online, eLearning

Online Geometry: Similarity, Ratios, Proportions. Theorems and Problems. Page 1 of 5

Similarity

Euclid's Elements 23 definitions

Euclid's Elements Book I, 23 Definitions. One-page visual illustration.
Euclid's Elements Book. Index

Angle Bisector Theorem

Euclid's Elements Book VI, Proposition 3: Angle Bisector Theorem

Right Triangles, Formulas and Facts
Pythagorean theorem, Similarity, Geometric mean, hypotenuse, legs, semiperimeter, altitude, median, similar shapes areas, centers, orthocenter, incenter, centroid, circumcenter, radius, inradius, circumradius, exradius, circles, incircle, circumcircle, excircle.

Euclid Elements Book X, Lemma for Proposition 33

Euclid's Elements, Book X, Lemma for Proposition 33
One page visual illustration.

Pythagoras Theorem, 47th Proposition of Euclid's Book I

The significance of the Pythagorean theorem  by Jacob Bronowski.
Pythagorean Theorem, 47th Proposition of Euclid's Book I.

Albert Einstein at the age of 12

Albert Einstein and the Pythagorean theorem.
A preteen Albert Einstein devised a new proof of the Pythagorean theorem.

Durer: Four Books on Human Proportion

Four Books on Human Proportion by Albrecht Durer and Golden Rectangles.

Clawson Point

Clawson Point.
Orthic and Extangents Triangles, Concurrent lines.

Durer: Four Books on Human Proportion, Body Parts

Four Books on Human Proportion, Body Parts by Albrecht Durer and Golden Rectangles.

Geometry problem 1185

Geometry Problem 1185
Similar Rectangles, Four Quadrilaterals, Sum of the Areas, Metric Relations.

Geometry problem 1173

Geometry Problem 1173
Triangle, Cevian, Angle, Congruence, Similarity.

Geometry problem 1172

Geometry Problem 1172
Cyclic Quadrilateral, Circle, Secant, Triangle, Similarity, Metric Relations.

Geometry problem 1135

Geometry Problem 1135.
Intersecting Circles, Secant, Parallel Line, 90 Degrees, Similar Triangles.

Geometry problem 1133

Geometry Problem 1133.
Circle, Chord, Tangent, Circumcircle, Similarity, Equal Product.

Geometry problem 1126

Geometry Problem 1126.
Equilateral Triangle, Circumcircle, Metric Relation, Harmonic Mean.

Geometry Problem 1119

Geometry Problem 1119.
Quadrilateral, Similar Triangles, Midpoints, Equal Ratio, Angles.

Geometry Problem 1108

Geometry Problem 1108.
Right Triangle, External Squares, Catheti, Congruence, Harmonic Mean.

Geometry Problem 1103

Geometry Problem 1103.
Right Triangle, Incircle, Inscribed Circle, Radius, Geometric Mean, Sangaku, Japanese, Metric Relations.

Geometry Problem 1101

Geometry Problem 1101.
Triangle, Parallel Lines, Circle, Incircle, Inradius, Radius, Angle.

Geometry Problem 978

Geometry Problem 978.
Parallelogram, Diagonal, Transversal, Similarity, Metric Relations.

Geometry Problem 960

Geometry Problem 960.
Quadrilateral, Trisection, Sides, Congruence, Similarity, Triangle.

Pythagoras curiosity. Online tutoring.

Geometry Problem 884: The Pythagorean Curiosity
Right Triangles and squares, fifteen conclusions.

Geometry Problem 877

Geometry Problem 877
Square, Right Triangle, Similarity, Metric Relations, Transversal.

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.

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

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

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.

Parallelogram, Perpendicular, Diagonal, Metric Relations, Similarity

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

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Last updated: Jan 30, 2016