Plane curves

Kampyle of Eudoxus

The Kampyle of Eudoxus (Greek: καμπύλη [γραμμή], meaning simply "curved [line], curve") is a curve with a Cartesian equation of from which the solution x = y = 0 is excluded. (Wikipedia).

Kampyle of Eudoxus
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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

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Eusthenopteron - Fish With Bones | History of Life | Water Creatures | Documentary Series

🐟 Eusthenopteron is a genus of fossil muslin fish (Sarcopterygii). They lived in the Devonian period (about 385 million years ago) in lakes and rivers. They are one of the intermediary links in the evolution of vertebrates from fish to amphibians. They were related to the genus Hyneria. Th

From playlist Facts About First Sea Creatures

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Euclid and proportions | Arithmetic and Geometry Math Foundations 20 | N J Wildberger

The ancient Greeks considered magnitudes independently of numbers, and they needed a way to compare proportions between magnitudes. Eudoxus developed such a theory, and it is the content of Book V of Euclid's Elements. This video describes this important idea. This lecture is part of the

From playlist Math Foundations

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Geometry - Basic Definitions - Part 1 | Origin of Geometry | Don't Memorise

Does Geometry help us in daily life? Was it used in ancient times? What is the origin of geometry? Who's Euclid and what are Euclid's Elements? Watch this video to know more! To learn more about Euclid's Geometry, enrol in our full course now: https://bit.ly/EuclidsGeometry To cover all

From playlist Euclids Geometry Class 09

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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

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Infinity in Greek mathematics | Math History | NJ Wildberger

We discuss primarily the work of Eudoxus and Archimedes, the founders of calculus. Archimedes in particular discovered formulas that are only found in advanced calculus courses, concerning the relations between the volumes and surface areas of a sphere and a circumscribing cylinder. We als

From playlist MathHistory: A course in the History of Mathematics

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Euclid's Books VI--XIII | Arithmetic and Geometry Math Foundations 21 | N J Wildberger

A very brief outline of the contents of the later books in Euclid's Elements dealing with geometry. This includes the work on three dimensional, or solid, geometry, culminating in the construction of the five Platonic solids. This lecture is part of the MathFoundations series, which tries

From playlist Math Foundations

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Distances to the sun and moon | Famous Math Problems 9 | NJ Wildberger

How far away from the earth are the sun and moon? This natural and important problem was first successfully tackled by the ancient Greeks, for whom astronomy was one of the most important motivations for developing mathematics. In this lecture we meet the thinking of Thales, Pythagoras, An

From playlist Famous Math Problems

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Calculus | Math History | N J Wildberger

Calculus has its origins in the work of the ancient Greeks, particularly of Eudoxus and Archimedes, who were interested in volume problems, and to a lesser extent in tangents. In the 17th century the subject was widely expanded and developed in an algebraic way using also the coordinate ge

From playlist MathHistory: A course in the History of Mathematics

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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

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History of Calculus - Animated

Everything you need to know about calculus... in 7 minutes. Remember to subscribe and hit that bell. Follow me on Quora: https://www.quora.com/profile/Ajay-Halthor REFERENCES [1] The birth of Calculus (1986): https://www.youtube.com/watch?v=ObPg3ki9GOI [2] Brief History of Calculus: ht

From playlist Comedy & Concept

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Episode 1: Similarity - Project MATHEMATICS!

Episode 1. Similarity: Scaling multiplies lengths by the same factor and produces a similar figure. It preserves angles and ratios of lengths of corresponding line segments. Animation shows what happens to perimeters, areas, and volumes under scaling, with various applications from real li

From playlist Courses and Series

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Linear Algebra 21g: Euler Angles and a Short Tribute to Leonhard Euler

https://bit.ly/PavelPatreon https://lem.ma/LA - Linear Algebra on Lemma http://bit.ly/ITCYTNew - Dr. Grinfeld's Tensor Calculus textbook https://lem.ma/prep - Complete SAT Math Prep

From playlist Part 3 Linear Algebra: Linear Transformations

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Euglenoids: Single-Celled Shapeshifters

Euglenoids have had a very, very long time to evolve, and that has led to the things they have evolved into being extremely diverse—so diverse that, combined with the varied shape-shifting abilities of its member species, euglenoids have proven challenging to both identify and classify Su

From playlist Season 1

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Q&A - Fashion, Faith and Fantasy in Physics - with Roger Penrose

Roger Penrose answers questions on the nature of science after his talk, followed by a special announcement of the Penrose Institute. Watch the full talk here: https://youtu.be/iH4XJHJ8AOw Subscribe for regular science videos: http://bit.ly/RiSubscRibe Can the following of fashion, blind

From playlist Ri Talks

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Karl Popper on Definitions (1974)

A version of an upload from the previous channel. It comes from a 1974 interview with Popper. The translation is my own. For more Popper: https://www.youtube.com/playlist?list=PLhP9EhPApKE_VarWCx1d_Uogn_GxsVf-o More Short Clips: https://www.youtube.com/playlist?list=PLhP9EhPApKE8v8UVlc7Ju

From playlist Karl Popper

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Parabolic Splines and Archimedes | Algebraic Calculus One | Wild Egg

We introduce parabolic splines associated to the parabola with simple Cartesian equation y=x^2. We look at two different situations, first evaluating signed areas of polygonal spline approximations to bigger and bigger portions of the curve, and then to a closer and closer examination of j

From playlist Algebraic Calculus One from Wild Egg

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