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5

The Pythagorean Theorem

Lecture no. 5 from the course: Geometry: An Interactive Journey to Mastery

The Pythagorean Theorem

Taught by Professor James Tanton | 28 min | Categories: The Great Courses Plus Online Mathematics Courses

We commonly define the Pythagorean theorem using the formula a2 + b2 = c2. But Pythagoras himself would have been confused by that. Explore how this famous theorem can be explained using common geometric shapes (no fancy algebra required), and how it’s a critical foundation for the rest of geometry.

36 Lectures

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

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