Euclidean geometry | History of geometry | Foundations of geometry | Geometry education
The Elements (Ancient Greek: Στοιχεῖα Stoikheîa) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. Euclid's Elements has been referred to as the most successful and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing in 1482, the number reaching well over one thousand. For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. Not until the 20th century, by which time its content was universally taught through other school textbooks, did it cease to be considered something all educated people had read. Geometry emerged as an indispensable part of the standard education of the English gentleman in the eighteenth century; by the Victorian period it was also becoming an important part of the education of artisans, children at Board Schools, colonial subjects and, to a rather lesser degree, women. The standard textbook for this purpose was none other than Euclid's The Elements. (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
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's Elements | Arithmetic and Geometry Math Foundations 19 | N J Wildberger
Euclid's book `The Elements' is the most famous and important mathematics book of all time. To begin to lay the foundations of geometry properly, we first have to make contact with Euclid's thinking. Here we look at the basic set-up of Definitions, Axioms and Postulates, and some of the hi
From playlist Math Foundations
Euclid's "Elements" - Book 1, Proposition 7
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%3D7 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 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
Euclid's "Elements" - Book 1, Proposition 22
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%3D22 This series is part of a larger project, part of which covers geometry
From playlist Euclid's "Elements" - Book 1
Euclid's "Elements" - Book 1, Proposition 31
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%3D31 This series is part of a larger project, part of which covers geometry.
From playlist Euclid's "Elements" - Book 1
Euclid's "Elements" - Book 1, Proposition 23
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%3D23 This series is part of a larger project, part of which covers geometry
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
Introduction to number theory lecture 3: Divisibility and Euclid's algorithms.
This lecture is part of my Berkeley math 115 course "Introduction to number theory" The lecture covers basic properties of divisibility, and Euclid's algorithm for finding greatest common divisors. For the other lectures in the course see https://www.youtube.com/playlist?list=PL8yHsr3EF
From playlist Introduction to number theory (Berkeley Math 115)
Euclid: Biography of a Great Thinker
Euclid was the author of "The Elements," the most popular textbook in history. Host: Liliana de Castro Artwork: Kim Parkhurst Written & Directed by Michael Harrison Produced by Kimberly Hatch Harrison ♦♦♦♦♦♦♦♦♦♦ Ways to support our channel: ► Join our Patreon : https://www.patreon.c
From playlist It Starts With Literacy
Greek Mathematics: Euclid and the Elements
Welcome to the History of Greek Mathematics mini-series! This series is a short introduction to Math History as a subject and the some of the important theorems created in ancient Greece. You are watching the third video in the series. If this series interested you check out our blog for
From playlist The History of Greek Mathematics: Math History
Ancient Greece and Euclid's Elements | Math and the Rise of Civilization | Documentary
The Elements is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions, and mathematical proofs of the propositions. The books cover plane and
From playlist Civilization
Euclid's puzzling parallel postulate - Jeff Dekofsky
View full lesson: http://ed.ted.com/lessons/euclid-s-puzzling-parallel-postulate-jeff-dekofsky Euclid, known as the "Father of Geometry," developed several of modern geometry's most enduring theorems--but what can we make of his mysterious fifth postulate, the parallel postulate? Jeff Dek
From playlist Even More TED-Ed Originals
This talk features Dan McDonald, Xiaofan Zhang, and Peter Barendse present updates to the automated geometric functionality of the Wolfram Language introduced in Version 12, including the functions GeometricScene, RandomInstance and FindGeometricConjectures, as well as present the Version
From playlist Wolfram Technology Conference 2020
Euclid's "Elements" - Book 1, Proposition 25
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%3D25 This series is part of a larger project, part of which covers geometry
From playlist Euclid's "Elements" - Book 1
Geometry for Kids - Introduction
This is a series of videos on Geometry, with kids in mind (~ 9 or 10 years old). We will start from some basic definitions, and then work on some elementary plane geometry: lines, angles, polygons, triangles, etc, and work our way up to proving some theorems! In this first video, we introd
From playlist Geometry for Kids