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34

The Geometry of Figurate Numbers

Lecture no. 34 from the course: Geometry: An Interactive Journey to Mastery

The Geometry of Figurate Numbers

Taught by Professor James Tanton | 32 min | Categories: The Great Courses Plus Online Mathematics Courses

Ponder another surprising appearance of geometry—the mathematics of numbers and number theory. Look into the properties of square and triangular numbers, and use geometry to do some fancy arithmetic without a calculator.

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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April 10, 2017

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