Ancient Greek geometers | Number theorists | Philosophers of mathematics
Euclid (/ˈjuːklɪd/; Greek: Εὐκλείδης; fl. 300 BC) was an ancient Greek mathematician active as a geometer and logician. Considered the "father of geometry", he is chiefly known for the Elements treatise, which established the foundations of geometry that largely dominated the field until the early 19th century. His system, now referred to as Euclidean geometry, involved new innovations in combination with a synthesis of theories from earlier Greek mathematicians, including Eudoxus of Cnidus, Hippocrates of Chios, Thales and Theaetetus. With Archimedes and Apollonius of Perga, Euclid is generally considered among the greatest mathematicians of antiquity, and one of the most influential in the history of mathematics. Very little is known of Euclid's life, and most information comes from the philosophers Proclus and Pappus of Alexandria many centuries later. Until the early Renaissance he was often mistaken for the earlier philosopher Euclid of Megara, causing his biography to be substantially revised. It is generally agreed that he spent his career under Ptolemy I in Alexandria and lived around 300 BC, after Plato and before Archimedes. There is some speculation that Euclid was a student of the Platonic Academy and later taught at the Musaeum. Euclid is often regarded as bridging the earlier Platonic tradition in Athens with the later tradition of Alexandria. In the Elements, Euclid deduced the theorems from a small set of axioms. He also wrote works on perspective, conic sections, spherical geometry, number theory, and mathematical rigour. In addition to the Elements, Euclid wrote a central early text in the optics field, Optics, and lesser-known works including Data and Phaenomena. Euclid's authorship of two other texts—On Divisions of Figures, Catoptrics—has been questioned. He is thought to have written many now . (Wikipedia).
Euclid's elements: definitions, postulates, and axioms
This is a beginners introduction to Euclid's elements. Support my channel with this special custom merch! https://www.etsy.com/listing/1037552189/wooden-large-platonic-solids-geometry Learn step-by-step here: http://pythagoreanmath.com/euclids-elements/ visit my site: http://www.pythago
From playlist Euclid's Elements Book 1
Euclid's "Elements" - Book 1, Proposition 12
https://www.patreon.com/Mathoma Heath's translation of Euclid's "Elements" http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0086%3Abook%3D1%3Atype%3DProp%3Anumber%3D12 This series is part of a larger project, part of which covers geometry.
From playlist Euclid's "Elements" - Book 1
Pythagorean Theorem: Euclid's "Elements" - Book 1, Proposition 47
https://www.patreon.com/Mathoma Heath's translation of Euclid's "Elements" http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0086%3Abook%3D1%3Atype%3DProp%3Anumber%3D47 Greek-English parallel text plus diagrams: https://archive.org/details/JL_Heiberg___EUCLIDS_ELEMENT
From playlist Euclid's "Elements" - Book 1
Euclid's "Elements" - Book 1, Proposition 46
https://www.patreon.com/Mathoma Heath's translation of Euclid's "Elements" http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0086%3Abook%3D1%3Atype%3DProp%3Anumber%3D46 Greek-English parallel text plus diagrams: https://archive.org/details/JL_Heiberg___EUCLIDS_ELEMENT
From playlist Euclid's "Elements" - Book 1
Support my channel with this special custom merch! https://www.etsy.com/listing/994053982/wooden-platonic-solids-geometry-set visit my site: http://www.pythagoreanmath.com Playlist of Euclid's Elements in link below: http://www.youtube.com/playlist?list=PLFC65BA76F7142E9D From now on we
From playlist Euclid's Elements Book 1
Euclid's "Elements" - Book 1, Proposition 4
https://www.patreon.com/Mathoma Heath's translation of Euclid's "Elements" http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0086%3Abook%3D1%3Atype%3DProp%3Anumber%3D4 This series is part of a larger project, part of which covers geometry.
From playlist Euclid's "Elements" - Book 1
Pythagorean Theorem Converse: Euclid's "Elements" - Book 1, Proposition 48
https://www.patreon.com/Mathoma Heath's translation of Euclid's "Elements" http://www.perseus.tufts.edu/hopper/text?doc=Perseus%3Atext%3A1999.01.0086%3Abook%3D1%3Atype%3DProp%3Anumber%3D48 Greek-English parallel text plus diagrams: https://archive.org/details/JL_Heiberg___EUCLIDS_ELEMENT
From playlist Euclid's "Elements" - Book 1
C39 A Cauchy Euler equation that is nonhomogeneous
A look at what to do with a Cauchy Euler equation that is non-homogeneous.
From playlist Differential Equations
Euler Pronunciation: In Depth Analysis
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From playlist Fun and Amazing Math
How ESA’s Dark Energy Telescope Will Map the ‘Dark Universe’ | Countdown To Launch
ESA is building its first space telescope to investigate how dark energy and dark matter control our universe. » Subscribe to Seeker! http://bit.ly/subscribeseeker » Watch more Countdown to Launch: http://bit.ly/CTLplaylist Thumbnail Credit: Thales Alenia Space and Airbus Defence and Spac
From playlist Space Exploration & Our Solar System
Introduction to number theory lecture 4. More on Euclid's algorithm
This lecture is part of my Berkeley math 115 course "Introduction to number theory" We discuss how to solve linear equations in integers using Euclid's algorithm. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj53L8sMbzIhhXSAOpuZ1Fov8 The textb
From playlist Introduction to number theory (Berkeley Math 115)
This seminar covers the Postulates and Proposition 1 of Euclid's Elements, presented by Kenneth Chan and Daniel Murfet. Apologies for the audio issues, the machine this was recorded on has some problem (the audio in the event was fine). You can join this seminar from anywhere, on any dev
From playlist Euclid
Theory of numbers: Euclid's algorithm
This lecture is part of an online undergraduate course on the theory of numbers. We describe several algorithms for finding the greatest common divisor of two numbers. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EFj52Qf7lc3HHvHRdIysxEcj1H
From playlist Theory of numbers
Introducing the fifth postulate in Euclid's Elements along with the remaining definitions and rules. Support my channel with this special custom merch! https://www.etsy.com/listing/1037552189/wooden-large-platonic-solids-geometry Learn Euclid's Elements with interactive step-by-step here
From playlist Euclid's Elements Book 1
Euclid as the father of geometry | Introduction to Euclidean geometry | Geometry | Khan Academy
We don't normally delve too far into history when talking about math, but sometimes it's important to have perspective about how some of our math concepts came about and how influential they have become. Watch the next lesson: https://www.khanacademy.org/math/geometry/intro_euclid/v/langu
From playlist High School Geometry | High School Math | Khan Academy
Arcane Algorithm Archive: Euclidean Algorithm -- Day 1
Well, we finished an algorithm today. It was quick. -- Watch live at https://www.twitch.tv/simuleios
From playlist Algorithm-archive
Wolfram Physics Project: Working Session Sept. 15, 2020 [Physicalization of Metamathematics]
This is a Wolfram Physics Project working session on metamathematics and its physicalization in the Wolfram Model. Begins at 10:15 Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the
From playlist Wolfram Physics Project Livestream Archive
Book 2, Proposition 6 - Euclid Seminar 25
We continue the study of geometric algebra in Book 2. This week we discuss Proposition 6. There is a recollection of how "area" differs for Euclid and us moderns. You can join this seminar from anywhere, on any device, at https://www.metauni.org. This video was recorded in The Rising Sea
From playlist Euclid
The History of Non-Euclidean Geometry - The Great Quest - Extra History - #2
For hundreds of years, Euclid's geometry disappeared with the fall of the Roman Empire. But in Constantinople, Islamic mathematicians, including Al-Khwarizmi (who gave us the word "algebra") worked long and hard on proving the Fifth Postulate. Support us on Patreon! http://bit.ly/EHPatreon
From playlist Extra History: Chronological Order (1700 CE - Present)
Driving Downtown - Cleveland 4K - USA
Driving Downtown Streets - Euclid Avenue - Cleveland Ohio USA - Episode 68 Starting Point: https://goo.gl/maps/BQQ8SeUGp5P2 . Euclid Avenue is a major street in Cleveland, Ohio. It received nationwide attention from the 1860s to the 1920s for its beauty and wealth, including a string of
From playlist Location by Country - United States of America - J Utah