Ancient Greek geometers | History of geometry
Apollonius of Perga (Greek: Ἀπολλώνιος ὁ Περγαῖος, translit. Apollṓnios ho Pergaîos; Latin: Apollonius Pergaeus; c. 240 BCE/BC – c. 190 BCE/BC) was an Ancient Greek geometer and astronomer known for his work on conic sections. Beginning from the contributions of Euclid and Archimedes on the topic, he brought them to the state prior to the invention of analytic geometry. His definitions of the terms ellipse, parabola, and hyperbola are the ones in use today. Gottfried Wilhelm Leibniz stated “He who understands Archimedes and Apollonius will admire less the achievements of the foremost men of later times.” Apollonius worked on numerous other topics, including astronomy. Most of this work has not survived, where exceptions are typically fragments referenced by other authors like Pappus of Alexandria. His hypothesis of eccentric orbits to explain the apparently aberrant motion of the planets, commonly believed until the Middle Ages, was superseded during the Renaissance. The Apollonius crater on the Moon is named in his honor. (Wikipedia).
Apollonius' circle construction problems | Famous Math Problems 3 | NJ Wildberger
Around 200 B.C., Apollonius of Perga, the greatest geometer of all time, gave a series of related problems; how to construct a circle in the plane touching three objects, where the objects are either a point (P), a line (L) and or a circle (C). Many mathematicians have studied this most fa
From playlist Famous Math Problems
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
Perseus and Medusa | Ancient Greek Mythology Stories
Based on a story by Lin and Don Donn - https://ancienthistory.mrdonn.org/myths.html, used with permission. Perseus and Medusa | Greek Mythology Stories Perseus, in Greek mythology, the slayer of the Gorgon Medusa and the rescuer of Andromeda from a sea monster. ... Because the gaze of Me
From playlist Ancient Greek Mythology
The myth of Hades and Persephone - Iseult Gillespie
Dig into the Greek myth of Persephone, who is abducted by Hades and is only allowed to leave the underworld every spring. -- One day, Persephone was frolicking in a meadow with the nymph, Cyane. As they admired a flower, they noticed it tremble in the ground. Suddenly, the earth split, a
From playlist Myths from Around the World
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
Hermes & Apollo | The Birth of Hermes and How He Stole the Cattle of Apollo | Greek Mythology
Based on a story by Lin and Don Donn - https://ancienthistory.mrdonn.org/myths.html, used with permission. Hermes & Apollo | The Birth of Hermes and How He Stole the Cattle of Apollo | Greek Mythology Apollo is the son of Zeus and Leto and has a twin sister, the chaste huntress Artemis.
From playlist Ancient Greek Mythology
Problem of Apollonius - what does it teach us about problem solving?
This video uses the problem of Apollonius as a way to introduce circle inversion and an important problem-solving technique - transforming a hard problem into a simpler one; then solve for the simpler, transformed version of the problem before doing the inverse transformation so that we ob
From playlist Geometry Gem
How to Draw Tangent Circles using Cones
Solving the Problem of Apollonius with Conic Sections This video describes a non-standard way of finding tangent circles to a given set of 3 circles, known as the Problem of Apollonius. It uses conic sections rather than straightedge and compass. I feel this approach is more intuitive and
From playlist Summer of Math Exposition Youtube Videos
Gary Antonick - Projectile on an Incline-No Calculation - G4G13 Apr 2018
Draw the path of a projectile on an incline. No calculation needed. A projectile bounces up and back down an inclined plane. How might this bounce path be drawn without calculation? This video shares a simple geometric technique (circles and lines) for producing a plane and launch angle t
From playlist G4G13 Videos
Apollonius and polarity | Universal Hyperbolic Geometry 1 | NJ Wildberger
This is the start of a new course on hyperbolic geometry that features a revolutionary simplifed approach to the subject, framing it in terms of classical projective geometry and the study of a distinguished circle. This subject will be called Universal Hyperbolic Geometry, as it extends t
From playlist Universal Hyperbolic Geometry
The Three/Four bridge and Apollonius duality for conics | Six: A course in pure maths 5 | Wild Egg
The Three / Four bridge plays an important role in understanding the remarkable duality discover by Apollonius between points and lines in the plane once a conic is specified. This is a purely projective construction that works for ellipses, and their special case of a circle, for parabola
From playlist Six: An elementary course in Pure Mathematics
Alex Kontorovich - Numbers and Fractals [2017]
It is a very good time to be a mathematician. This millennium, while only a teenager, has already seen spectacular breakthroughs on problems like the Poincar´e Conjecture (solved by Grisha Perelman, who declined both a Fields Medal and a million dollar Clay Prize) and the near-resolution o
From playlist Mathematics
Student Philosopher: Nietzsche, Apollo & Dionysus
Friedrich Nietzsche believed that human life is fundamentally divided into the 'Apollonian' and the 'Dionysian'. Find out more and please subscribe here: http://tinyurl.com/o28mut7 If you like our films take a look at our shop (we ship worldwide): http://www.theschooloflife.com/shop/all/
From playlist @THE SCHOOL OF LIFE
Episode 9: Moving In Circles - The Mechanical Universe
Episode 9. Moving in Circles: A look at the Platonic theory of uniform circular motion. “The Mechanical Universe,” is a critically-acclaimed series of 52 thirty-minute videos covering the basic topics of an introductory university physics course. Each program in the series opens and clos
From playlist The Mechanical Universe
Mechanical Music: Automated Instruments
They may seem like novelties today, but automated instruments represent culture, technology, and changing times. Despite sounding futuristic, self-playing instruments actually have a deep history that goes back millennia. Check out our new community for fans and supporters! https://thehis
From playlist History and Music
Great Altar of Zeus and Athena at Pergamon
The Pergamon Altar, c. 200-150 B.C.E., 35.64 x 33.4 meters, Hellenistic Period (Pergamon Museum, Berlin). Speakers: Dr. Steven Zucker and Dr. Beth Harris. Created by Beth Harris and Steven Zucker.
From playlist Art of the ancient Mediterranean | Art History | Khan Academy
APOLLONIUS THEOREM Using Animation Tools | MEDIAN SERIES | CREATA CLASSES
Understand Apollonius Theorem and the Relation between Medians & Sides of a Triangle Using ANIMATION & visual tools. It also include the proof of apollonius theorem. This is 5th video under the Median Series. Introduction to Median: https://youtu.be/eHewPlLq7ps Visit our website: https
From playlist MEDIANS
Greek Mathematics: Pythagoras and His Followers
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 second video in the series. If this series interested you check out our blog for
From playlist The History of Greek Mathematics: Math History