Around the great Library of Alexandria, Archimedes weighed parabolas and Eratosthenes measured the Earth with a stick, until centuries later Hypatia taught mathematics in a city sliding toward ruin.
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TERRITORY BADGE
Scholar of the Great Library
Complete all 28 lessons to claim
The Path Through
builds on II · Proof from Measurement
Apollonius: Master of Conic Sections
Geometry
L91
The Nine-Point Circle: A Hidden Gem of Triangle Geometry
Geometry
L92
Apollonius and the Tangent Problem
Geometry
L94
Nicomachus and the Classification of Numbers
Number Theory
L101
Archimedes and Pi: Squeezing the Circle
Geometry
L102
Eratosthenes: Measuring the Earth with a Stick
Applied
L119
Heron of Alexandria: The Engineer-Mathematician
Biography
L122
The Method of Exhaustion: Ancient Integration
Calculus
L147
Archimedes: The Greatest Mathematician of Antiquity
Biography
L153
The Method: Archimedes' Secret Calculus
Calculus
L154
Archimedes and the Area of a Parabola
Calculus
L155
The Sand Reckoner: Counting Beyond Imagination
Arithmetic
L157
The Death of Archimedes: When Rome Conquered Mathematics
Biography
L159
The Sieve of Eratosthenes: Filtering Out Primes
Number Theory
L160
Hipparchus: The Father of Trigonometry
Geometry
L161
Ptolemy's Chord Table: Ancient Trigonometry
Geometry
L163
Diophantus: The Father of Algebra
Algebra
L164
Diophantine Equations: When Only Whole Numbers Count
Number Theory
L165
Hypatia: The Last Light of Alexandria
Biography
L166
Heron's Formula: Triangle Area from Sides Alone
Geometry
L178
Perfect Numbers: When Parts Equal the Whole
Number Theory
L180
Pappus of Alexandria: The Last Great Greek Mathematician
Biography
L183
Ancient Probability: Divination, Dice, and Chance
Probability
L184
Archimedes' Stomachion: The Ancient Combinatorics Puzzle
Combinatorics
L188
Archimedes and the Spiral: Curves Beyond Circles
Geometry
L194
Ptolemy's Inequality and the Power of Geometric Reasoning
Geometry
L195
Menelaus' Theorem: Trigonometry on the Sphere
Geometry
L198
Diophantus' Epitaph: A Mathematical Riddle
Algebra
L200
TERRITORY III
Alexandria's Scholars
287 BCE - 415 CE
0 / 28 LESSONS0%
Builds on II · Proof from Measurement
Apollonius: Master of Conic Sections
Lesson 91
The Nine-Point Circle: A Hidden Gem of Triangle Geometry
Lesson 92
Apollonius and the Tangent Problem
Lesson 94
Nicomachus and the Classification of Numbers
Lesson 101
Archimedes and Pi: Squeezing the Circle
Lesson 102
Eratosthenes: Measuring the Earth with a Stick
Lesson 119
Heron of Alexandria: The Engineer-Mathematician
Lesson 122
The Method of Exhaustion: Ancient Integration
Lesson 147
Archimedes: The Greatest Mathematician of Antiquity
Lesson 153
The Method: Archimedes' Secret Calculus
Lesson 154
Archimedes and the Area of a Parabola
Lesson 155
The Sand Reckoner: Counting Beyond Imagination
Lesson 157
The Death of Archimedes: When Rome Conquered Mathematics
Lesson 159
The Sieve of Eratosthenes: Filtering Out Primes
Lesson 160
Hipparchus: The Father of Trigonometry
Lesson 161
Ptolemy's Chord Table: Ancient Trigonometry
Lesson 163
Diophantus: The Father of Algebra
Lesson 164
Diophantine Equations: When Only Whole Numbers Count
Lesson 165
Hypatia: The Last Light of Alexandria
Lesson 166
Heron's Formula: Triangle Area from Sides Alone
Lesson 178
Perfect Numbers: When Parts Equal the Whole
Lesson 180
Pappus of Alexandria: The Last Great Greek Mathematician
Lesson 183
Ancient Probability: Divination, Dice, and Chance
Lesson 184
Archimedes' Stomachion: The Ancient Combinatorics Puzzle
Lesson 188
Archimedes and the Spiral: Curves Beyond Circles
Lesson 194
Ptolemy's Inequality and the Power of Geometric Reasoning