Aristarchus's inequality (after the Greek astronomer and mathematician Aristarchus of Samos; c. 310 – c. 230 BCE) is a law of trigonometry which states that if α and β are acute angles (i.e. between 0 and a right angle) and β < α then Ptolemy used the first of these inequalities while constructing his table of chords. (Wikipedia).
Aristarchus's Inequality (visual proof)
This is a short, animated visual proofs of the Aristarchus's inequality using the concavity of the sine and tangent functions. #mathshorts #mathvideo #math #aristarchusinequality #aristarchus #inequality #logarithm #tangentfunction #sinefunction #manim #animation #theorem #pww #proofwithou
From playlist Trigonometry
This video introduces the Golden ratio and provides several examples of where the Golden ratio appears. http:mathispower4u.com
From playlist Mathematics General Interest
This video states and investigates the triangle inequality theorem. Complete Video List: http://www.mathispower4u.yolasite.com
From playlist Relationships with Triangles
Napier's Inequality (two visual proofs via calculus)
This is two short, animated visual proofs of the Napier's inequality: one using derivatives and one using integrals. This theorem bounds the reciprocal of the logarithm mean. #mathshorts #mathvideo #math #napierinequality #napier #inequality #logarithm #logarithmicmean #manim #animation #t
From playlist Inequalities
http://www.teachastronomy.com/ Aristarchus, who lived in the third century BC, was a skilled geometer, and he anticipated the Copernican heliocentric model by over 1800 years. He deduced by application of logic and geometry that the sun must be 19 or 20 times larger and further away than
From playlist 02. Ancient Astronomy and Celestial Phenomena
Late Greeks | History and Philosophy of Astronomy 2.03
Learn about the history and philosophy of astronomy from Professor Impey, a University Distinguished Professor of Astronomy at the University of Arizona, with our Knowing the Universe: History and Philosophy of Astronomy course here on YouTube. This video is part of module 2, Greek Science
From playlist History and Philosophy Course Module 2: Greek Science
Teach Astronomy - Heliocentric Cosmology
http://www.teachastronomy.com/ Living just after the time of Aristotle, Aristarchus boldly proposed the heliocentric cosmology. In the heliocentric model the sun is stationary at the center of the solar system, and the Earth and the other planets and the stars move in circular orbits arou
From playlist 03. Concepts and History of Astronomy and Physics
Greek Physics: Calculating the distance to the Sun and Moon
This video looks at the method of Aristarchus for determining the distance to the Sun and Moon. This video takes inspiration from the book 'To Explain the World' by Steven Weinberg, which provides an excellent commentary on the discovery of modern science. You can help support this channe
From playlist Pen and Paper
In this video, I state and prove Chebyshev's inequality, and its cousin Markov's inequality. Those inequalities tell us how big an integrable function can really be. Enjoy!
From playlist Real Analysis
Apply the law of sines when you are given AAS
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines | AAS
Algebra - Ch. 31: Linear Inequality in 2 Variables (2 of 14) Differences
Visit http://ilectureonline.com for more math and science lectures! To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 We will learn the difference between “greater-than or equalto” and “greater-than”, and “less-than or equal to” and “less-than” graphi
From playlist ALGEBRA CH 31 LINEAR INEQUALITIES IN 2 VARIABLES
Year 10 Science Space History of ideas about the universe
From playlist 10 - Physics
What is the formula for the law of sines
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines | Learn About
Precalculus 1.08p6 - Rational Inequality
Another rational inequality, more challenging than the previous example. The problem is set up and solved analytically and graphically, and the restriction on the domain is discussed. From the Precalculus course by Derek Owens. More info on this course and others can be found at http://
From playlist Precalculus Chapter 1 (Selected videos)
Area of a Circle, the BEST COMPLETE PROOF by Archimedes | Tricky Parts of Calculus, Part 3
I give a complete proof that the area of a circle is pi r^2, or 1/2 C r, where C is the circumference, based on the original proof by Archimedes. I also provide some historical notes and commentary on this proof and other proofs. This is the third episode in a series called Tricky Parts o
From playlist Math
Astronomy 101: Heliocentric Models
Skynet University: http://skynet.unc.edu/introastro Use Our Telescopes From Anywhere! Astronomy 101: The Solar System Lesson 2: Copernican Revolution Topic: Heliocentric Models Next: Galilean Revolution (http://youtu.be/i0ivBULSsdM) Previous: Geocentric Models (http://youtu.be/oJ51
From playlist UNC: Astronomy 101 by Skynet University | CosmoLearning.org Astronomy
Eclipse science: Discoveries in the Moon’s shadow
A total eclipse of the Sun is an awe-inspiring sight, but throughout history it has also inspired scientific research. Studying eclipses has led to discoveries about the composition of the Sun, the workings of our Solar System and the physics of the Universe itself. Find out more about t
From playlist Astro
Learn where the formula of oblique triangles come from
👉 Learn how to solve for the length of the sides and the measures of the angles of a triangle using the law of sines. The law of sines is used in determining the length of the opposite side to a known angle measure or the measure of the opposite angle to a known side length of a triangle.
From playlist Law of Sines | Learn About
You never know, you might only have a narrow window to enjoy something before its gone. After 7 months, I have returned. In this long installment of Trey the Explainer, I discuss the history of books, literacy, and lost media. Are you ready to learn what you can never know? Thumbnail art
From playlist Anthropology Profile