In geometry, the lune of Hippocrates, named after Hippocrates of Chios, is a lune bounded by arcs of two circles, the smaller of which has as its diameter a chord spanning a right angle on the larger circle. Equivalently, it is a non-convex plane region bounded by one 180-degree circular arc and one 90-degree circular arc. It was the first curved figure to have its exact area calculated mathematically. (Wikipedia).
Lune Of Hippocrates - Famous Ancient Math Problem
Hippocrates of Chios solved this, nearly 100 years before Euclid even wrote The Elements, and before we knew the exact formula for the area of a circle. This is said to be the first precise mathematical of the area between two curved lines. Learn how he solved for the area of a crescent-sh
From playlist Math Puzzles, Riddles And Brain Teasers
Area of the Lune of Hippocrates (visual proof)
This is a short, animated visual proof constructing the Lune of Hippocrates and finding the area of this shape. #mathshorts #mathvideo #math #geometry #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #lune #hippocrates #area #dissection
From playlist Geometric Constructions
http://www.teachastronomy.com/ Hipparchus was a major astronomer of the second century BC. He had an observatory on the island of Rhodes. From him we have the first use of celestial coordinates and the first star catalog. He also invented the magnitude system for measuring the relative
From playlist 03. Concepts and History of Astronomy and Physics
Eratosthenes: Biography of a Great Thinker
Eratosthenes (c. 276 BC -- c.194 BC) was a Greek scholar nicknamed "Beta." This is because he was considered the second best in so many fields. Despite the dismissive nickname, Eratosthenes is still celebrated to this day for his significant contributions to math, astronomy, and geograph
From playlist It Starts With Literacy
Spearheading a Lune. Featuring Barry Mazur. More links & stuff in full description below ↓↓↓ Reddit discussion: http://redd.it/2hze46 Read more at http://bit.ly/Mazur_Essay and http://bit.ly/SquarableLunes Squaring the circle: http://youtu.be/CMP9a2J4Bqw Barry's Blobs: http://youtu.be/It
From playlist Barry Mazur on Numberphile
Johnny Ball is back talking about Hippocrates, Lunes, and a Fancy Q. More links & stuff in full description below ↓↓↓ Johnny Ball's website: https://johnnyball.co.uk More Johnny on Numberphile: https://bit.ly/Johnny_Ball An earlier Lunes video we did with Barry Mazur: https://www.youtub
From playlist Johnny Ball on Numberphile
Persephone | The Greek Goddess of Spring | Ancient Greek Mythology
Based on a story by Lin and Don Donn - https://ancienthistory.mrdonn.org/myths.html, used with permission. Persephone | The Greek Goddess of Spring | Ancient Greek Mythology Greek Goddess of Spring. Daughter of Demeter and Zeus, Persephone is the beautiful goddess of spring. She is call
From playlist Ancient Greek Mythology
Lunes off a Right Triangle (visual proof)
This is a short, animated visual proof showing that the area of a square inscribed in a circle is equal to the area of the four lunes created by drawing semicircles off of the sides of the square. #manim #math #mathvideo #mathshorts #geometry #animation #theorem #pww #proofwithoutwords #vi
From playlist Geometric Constructions
a 2500 year old geometry problem.
We look at the problem of the quadrature of the lune, due to Hippocrates. Suggest a problem: https://forms.gle/ea7Pw7HcKePGB4my5 Please Subscribe: https://www.youtube.com/michaelpennmath?sub_confirmation=1 Merch: https://teespring.com/stores/michael-penn-math Personal Website: http://ww
From playlist Geometry
Thales: Biography of a Great Thinker
Thales of Miletus was an ancient Greek scholar who is widely considered to be the first mathematician and the first philosopher. He was one of the Seven Sages of Greece. Host: Liliana de Castro Artwork: Kim Parkhurst Written & Directed by Michael Harrison Produced by Kimberly Hatch Har
From playlist It Starts With Literacy
Lagrange Bicentenary - Jacques Laskar's conference
Lagrange and the stability of the Solar System
From playlist Bicentenaire Joseph-Louis Lagrange
Medusa and Athena - Ancient Greek Goddesses - Greek Mythology
Based on a story by Lin and Don Donn - https://ancienthistory.mrdonn.org/myths.html, used with permission. Medusa and Athena - Ancient Greek Goddesses - Greek Mythology In later myths (mainly in Ovid) Medusa was the only Gorgon to possess snake locks because they were a punishment from A
From playlist Ancient Greek Mythology
2. Classical Views of Disease: Hippocrates, Galen, and Humoralism
Epidemics in Western Society Since 1600 (HIST 234) The form of medicine that arose in fifth-century Greece, associated with the name of Hippocrates and later popularized by Galen, marked a major innovation in the treatment of disease. Unlike supernatural theories of disease, Hippocrates
From playlist Epidemics in Western Society Since 1600 with Frank Snowden
Mesolabe Compass and Square Roots - Numberphile
Johnny Ball on the "often missed" Hippocrates of Chios. Check out Brilliant (get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ More on Johnny Ball, including his books and live shows: https://www.johnnyball.co.
From playlist Johnny Ball on Numberphile
Lunes of Alhazen: A Surprisingly Simple Proof
The Lunes of Alhazen is a thousand year-old construct credited to Arab mathematician and physicist al-Hasan Ibn al-Haytham, also known as Alhazen. More info about Ibn al-Haytham, who really should be better known than he is: https://en.wikipedia.org/wiki/Ibn_al-Haytham https://www.youtube
From playlist Mathy Videos
http://www.teachastronomy.com/ Thales was a philosopher who lived in the 6th century B.C. in Miletus, in what is now Turkey. No written work by Thales survives, but we know that he kept accurate eclipse records and he speculated about astronomy. He decided that the source of all things w
From playlist 02. Ancient Astronomy and Celestial Phenomena
Early Pharmacopeia: Medical Practices in Ancient Civilizations
If we are going to tell the story of medicine, we had better start at the beginning, which means we need to go all the way back to the start of recorded history. Ever since we've been writing things down, we've been documenting our attempts at treating illness. Pretty much all of the techn
From playlist The History of Drugs
