From Oresme's first sketched graph to Descartes' fusion of algebra and geometry to Cavalieri slicing solids into infinite layers, mathematicians assembled piece by piece the tools that calculus was about to inherit.
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TERRITORY BADGE
Surveyor of the Indivisibles
Complete all 22 lessons to claim
The Path Through
builds on IX · Chains of Correspondence
Kepler and the Snowflake: Optimization in Nature
Geometry
L334
Kepler's Wine Barrel Problem: Early Calculus of Variations
Calculus
L335
Descartes: I Think, Therefore I Graph
Biography
L336
Descartes' Rule of Signs: Counting Roots Without Finding Them
Algebra
L338
La Geometrie: Descartes' Mathematical Revolution
Geometry
L339
Cavalieri's Principle: Slicing Solids
Calculus
L353
Wallis and Infinite Products: Pi from Multiplication
Calculus
L354
Barrow's Fundamental Theorem: The Missing Link
Calculus
L355
Renaissance Perspective: Art Invents Projective Geometry
Geometry
L356
Desargues and Projective Geometry: Parallel Lines Meet
Geometry
L363
Torricelli: The Student Who Exceeded the Master
Calculus
L364
Oresme: The First Graph of a Function
Geometry
L377
Pascal's Cycloid: The Helen of Geometers
Geometry
L384
Girard's Theorem: Triangle Angle Excess on a Sphere
Geometry
L385
Descartes' Method of Doubt and Mathematical Certainty
Logic
L386
Mercator's Projection: Mapping the Sphere to a Plane
Applied
L387
Cavalieri's Principle in Action: Volume of a Sphere
Calculus
L389
From Renaissance to Revolution: Mathematics on the Verge
Synthesis
L392
Why Europe Caught Up: Mathematics and the Scientific Revolution
Synthesis
L393
The Role of War in Mathematical Progress
Synthesis
L394
Mathematical Notation Timeline: From Words to Symbols
Synthesis
L395
The Mathematical Education Revolution: Textbooks for All
Synthesis
L397
TERRITORY X
Precursors to Calculus
1350 CE - 1680 CE
0 / 22 LESSONS0%
Builds on IX · Chains of Correspondence
Kepler and the Snowflake: Optimization in Nature
Lesson 334
Kepler's Wine Barrel Problem: Early Calculus of Variations
Lesson 335
Descartes: I Think, Therefore I Graph
Lesson 336
Descartes' Rule of Signs: Counting Roots Without Finding Them
Lesson 338
La Geometrie: Descartes' Mathematical Revolution
Lesson 339
Cavalieri's Principle: Slicing Solids
Lesson 353
Wallis and Infinite Products: Pi from Multiplication
Lesson 354
Barrow's Fundamental Theorem: The Missing Link
Lesson 355
Renaissance Perspective: Art Invents Projective Geometry
Lesson 356
Desargues and Projective Geometry: Parallel Lines Meet
Lesson 363
Torricelli: The Student Who Exceeded the Master
Lesson 364
Oresme: The First Graph of a Function
Lesson 377
Pascal's Cycloid: The Helen of Geometers
Lesson 384
Girard's Theorem: Triangle Angle Excess on a Sphere
Lesson 385
Descartes' Method of Doubt and Mathematical Certainty
Lesson 386
Mercator's Projection: Mapping the Sphere to a Plane
Lesson 387
Cavalieri's Principle in Action: Volume of a Sphere
Lesson 389
From Renaissance to Revolution: Mathematics on the Verge
Lesson 392
Why Europe Caught Up: Mathematics and the Scientific Revolution
Lesson 393
The Role of War in Mathematical Progress
Lesson 394
Mathematical Notation Timeline: From Words to Symbols
Lesson 395
The Mathematical Education Revolution: Textbooks for All