3blue1brown
3blue1brown
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What was Euclid really doing? | Guest video by Ben Syversen

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September 18, 2025

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What role were ruler and compass constructions really serving?

Check out Ben's channel: @bensyversen

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Written, produced, edited, and animated by Ben Syversen

Additional editing: Jack Saxon

3d Blender model: Jan-Hendrik Müller

Additional Blender help: Thibaut Modrzyk (@Deepia)

Illustrations: Alex Zepherin/DonDada Studio

Camera: Giacomo Belletti

Drums: Jeremy Gustin

Additional music from Epidemic Sound

Special thanks to Viktor Blåsjö

Lean footage is borrowed from Alex Kontorovich’s lecture series on formal Euclidean geometry

References/Recommended reading:

Euclid’s Elements:

Visual edition of Book 1

Euclid’s Elements in full

The Thirteen Books of The Elements, translated with introduction and commentary by Sir Thomas L. Heath

Commentary and academic papers:

A Commentary on the First Book of Euclid’s Elements, Proclus, translated by Glenn R. Morrow

OperationalismAn Interpretation of the Philosophy of Ancient Greek Geometry, Viktor Blåsjö

The Euclidean Diagram, Kenneth Manders

A New Look at Euclid’s Second Proposition, Godfried Toussaint

Logic of Ruler and Compass Constructions, M. Beeson

Euclid’s Fourth Postulate, Vincenzo De Risi

Some related books:

Euclid’s Window: The Story of Geometry from Parallel Lines to Hyperspace, Leonard Mlodinow

The Geometry of Rene Descartes, Rene Descartes

Timestamps:

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Ben Syversen AdditionalJack SaxonJan-Hendrik Mller Additional BlenderEpidemic Sound SpecialViktor Blsj LeanAlex KontorovichsEuclids Elements VisualEuclids Elements

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