▷ Archimedes - PhilosophyProfessor.com

Archimedes (287-212 BC).

Table of Contents

1 Ideas
2 Biography
3 Major Works of Archimedes
- 3.1 Related:
4 Videos
5 Related Products

Ideas

– Convergence methods, in which a curvilinear figure is bounded inside and out by similar rectilinear figures, can approximate the area of the curved figure to any degree of accuracy: Using convergence methods, the value of pi is found to be greater than 3 10/71 and less than 3 1/7.

– Objects have a center of gravity and for mathematical purposes can be treated as if they wre composed of parallel lines (plane figures) or parallel planes (solid figures).

– Mechanical methods can suggest the truth of mathematical propositions, which must then be rigorously proven by mathematical methods.

– Numbers of any size can be expressed using a suitable system of notation.

– Magnitudes cannot be infinitely small.

Biography

Greek mathematician who flourished in Sicily. He is generally considered to be the greatest mathematician of ancient times. Most of the facts about his life come from a biography about the Roman soldier Marcellus written by the Roman biographer Plutarch.

Archimedes performed numerous geometric proofs using the rigid geometric formalism outlined by Euclid, excelling especially at computing areas and volumes using the method of exhaustion. He was especially proud of his discovery for finding the volume of a sphere, showing that it is two thirds the volume of the smallest cylinder that can contain it. At his request, the figure of a sphere and cylinder was engraved on his tombstone. In fact, it is often said that Archimedes would have invented calculus if the Greeks had only possessed a more tractable mathematical notation.

Some of Archimedes’s geometric proofs were actually motivated by mechanical arguments which led him to the correct answer. During the Roman siege of Syracuse, he is said to have single-handedly defended the city by constructing lenses to focus the Sun’s light on Roman ships and huge cranes to turn them upside down. When the Romans finally broke the siege, Archimedes was killed by a Roman soldier.

Major Works of Archimedes

– On the Sphere and the Cylinder
– On the Measurement of the Circle
– On the Equilibrium of Planes
– On Floating Bodies
– On the Method of Mechanical Theorems
– The Sandreckoner

Related Products

Marbles 6044798 Rock Me Archimedes – Balancing Board Game, Multicolor

Rock Me Archimedes is the suspense-filled balancing game that tests players’ strategic thinking in a whole new way! Play with family and friends!
Named after the Greek mathematician, this game uses the laws of the lever to create balance! Race against opponents to be the first to send 4 Marbles to your end of the board!
Playing rock Me Archimedes engages visual perception and decision-making skills, requiring players to think critically. Not just addictive, this game is great for mental acuity!
Rock Me Archimedes if made for 2 players aged 8+.
Includes: 1 wooden rocker board, 1 wooden platform, 1 marble tray, 1 die, 12 black Marbles, 12 white Marbles

Archimedes and the Door of Science (Living History Library)

Archimedes and the Door of Science
Jeanne Bendick (Author)
English (Publication Language)
160 Pages - 08/01/1995 (Publication Date) - Bethlehem Books (Publisher)

Famous People of the World - Famous Scientists - Archimedes

Amazon Prime Video (Video on Demand)
Sergei Ivanov, Movses Muradyan, Sergey Mikhaylov (Actors)
Irina Konovalova (Director)
English (Playback Language)
English (Subtitle)

The Works of Archimedes (Dover Books on Mathematics)

Amazon Kindle Edition
Archimedes (Author)
English (Publication Language)
576 Pages - 05/09/2013 (Publication Date) - Dover Publications (Publisher)

Marbleocity Triple Play Archimedes Screw Marble Machine Kit

Tinkineer’s marbleocity introduces children to engineering principles and physics concepts with dynamic hands-on STEM null kits made of precision-cut wood in the USA. Each kit includes easy-to-follow assembly instructions in a graphic novel that features the engineer characters. Building requires only household white glue…no special tools! It's a unique and playful learning experience for beginner and experienced makers alike!
Each kit includes easy-to-follow assembly instructions in a graphic novel that features the engineer characters.
The comic introduces a physics concept or engineering mechanism that is the focal point of the model, All in a fun and engaging way!
The result is an awesome kinetic sculpture and some new physics and engineering insight!
Measures approximately 4" x 6" when finished