Geometry - An Interactive Journey to Mastery

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Geometry
An Interactive Journey to Mastery

2014

Inscribed over the entrance of Plato's Academy were the words, "Let no one ignorant of geometry enter my doors." To ancient scholars, geometry was the gateway to gaining a profound knowledge of the world.$1#$ Today,...

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Director
James Tanton

In This Series

Geometry—Ancient Ropes and Modern Phones
Episode 1
Geometry—Ancient Ropes and Modern Phones
Beginnings—Jargon and Undefined Terms
Episode 2
Beginnings—Jargon and Undefined Terms
Angles and Pencil-Turning Mysteries
Episode 3
Angles and Pencil-Turning Mysteries
Understanding Polygons
Episode 4
Understanding Polygons
The Pythagorean Theorem
Episode 5
The Pythagorean Theorem
Distance, Midpoints, and Folding Ties
Episode 6
Distance, Midpoints, and Folding Ties
The Nature of Parallelism
Episode 7
The Nature of Parallelism
Proofs and Proof Writing
Episode 8
Proofs and Proof Writing
Similarity and Congruence
Episode 9
Similarity and Congruence
Practical Applications of Similarity
Episode 10
Practical Applications of Similarity
Making Use of Linear Equations
Episode 11
Making Use of Linear Equations
Equidistance—A Focus on Distance
Episode 12
Equidistance—A Focus on Distance
A Return to Parallelism
Episode 13
A Return to Parallelism
Exploring Special Quadrilaterals
Episode 14
Exploring Special Quadrilaterals
The Classification of Triangles
Episode 15
The Classification of Triangles
Circle-ometry—On Circular Motion
Episode 16
Circle-ometry—On Circular Motion
Trigonometry through Right Triangles
Episode 17
Trigonometry through Right Triangles
What Is the Sine of 1°?
Episode 18
What Is the Sine of 1°?
The Geometry of a Circle
Episode 19
The Geometry of a Circle
The Equation of a Circle
Episode 20
The Equation of a Circle
Understanding Area
Episode 21
Understanding Area
Explorations with Pi
Episode 22
Explorations with Pi
Three-Dimensional Geometry—Solids
Episode 23
Three-Dimensional Geometry—Solids
Introduction to Scale
Episode 24
Introduction to Scale
Playing with Geometric Probability
Episode 25
Playing with Geometric Probability
Exploring Geometric Constructions
Episode 26
Exploring Geometric Constructions
The Reflection Principle
Episode 27
The Reflection Principle
Tilings, Platonic Solids, and Theorems
Episode 28
Tilings, Platonic Solids, and Theorems
Folding and Conics
Episode 29
Folding and Conics
The Mathematics of Symmetry
Episode 30
The Mathematics of Symmetry
The Mathematics of Fractals
Episode 31
The Mathematics of Fractals
Dido's Problem
Episode 32
Dido's Problem
The Geometry of Braids—Curious Applications
Episode 33
The Geometry of Braids—Curious Applications
The Geometry of Figurate Numbers
Episode 34
The Geometry of Figurate Numbers
Complex Numbers in Geometry
Episode 35
Complex Numbers in Geometry
Bending the Axioms—New Geometries
Episode 36
Bending the Axioms—New Geometries