Euclid's Elements - Book 1 Proposition 3
"Given two unequal straight lines, to cut off from the greater a straight line equal to the less."
We have two straight lines, one bigger than the other. How do we cut a piece out of the longer one equal to the length of the shorter one?
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Reference: Euclid's Elements: All Thirteen Books Complete in One Volume
Edited by Dana Densmore
Translation by T.L. Heath
Published by Green Lion Press
Used with permission
https://www.greenlion.com/books/EuclidsElements.html
https://www.tatteredcover.com/book/9781888009187
https://www.amazon.com/dp/1888009187/
Be sure to also check out these related titles:
Bones: A Handy Where-to-Find Pocket Reference Companion to Euclid's Elements
https://www.greenlion.com/books/TheBones.html
Euclid's Elements Book One with Questions for Discussion
https://www.greenlion.com/books/EucMod.html
I may veer off the path in explaining a proposition. That's on me, not Euclid, Heath, Densmore, or Green Lion Press.
The geometric drawing tool I use to guide us as we visit each proposition is GeoGebra:
https://www.geogebra.org/graphing
The link for today's excursion into the wild is:
https://www.geogebra.org/geometry/mxpfnp5u
Music in this video ("Letting Go" by Elskavon) is thanks to the Audiio music service:
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Background image, lion sound effect, and YouTube like/subscribe/alarm thanks to Envato Elements (who also has a great selection of music for videos and lots more):
https://elements.envato.com
Although I mention Indiana University East, Green Lion Press, and other services verbally, graphically, and/or in writing, that is my endorsement of *them*, not their endorsement of me. :-)
Links above worked when this video was posted, but nothing is permanent in life. :-)
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Credit for "Slap like on this video" to the world's most awesome bassist and YouTube star, davie504:
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No, I don't play bass. But, he probably doesn't do a whole bunch of geometry and trigonometry. :-)
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