Euclid 1.47 Animated

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

Proposition 47 of Book 1 of Euclid's Elements, sometimes referred to as a verse of the gospel as Euclid 1.47, is commonly known as the Pythagorean theorem. After more than two millennia and about 400 different proofs, Euclid's remains a classic, still taught in secondary schools as an archetype of logical deduction. This Demonstration, designed for classroom use, combines Euclid's text with an animated version of his classical diagram.

Contributed by: Paolo Maraner (November 2018)
Open content licensed under CC BY-NC-SA


Euclid's text is from Fitzpatrick's bilingual edition of the Elements [1], with minor variations by the author. Colors and graphic ideas are from Byrne's 1847 four-color edition [2].


[1] R. Fitzpatrick, ed., Euclid's Elements of Geometry: The Greek Text of J.L. Heiberg (1883–1885) from Euclidis Elementa, edidit et Latine Interpretatus est I. L. Heiberg, in Aedibus B. G. Teubneri, 1883–1885, 2008.

[2] O. Byrne, The Elements of Euclid, London: William Pickering, 1847.


Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.