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Archimedes.

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Q: Who was the greek mathematician that worked out the geometry of the screw?
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Is a screw a plane?

Well Some People Say It's Not But It Is You Have To Do The Math With It And Learn Geometry.


Dicuss the short history of geometry?

Geometry began with a practical need to measure shapes. The word geometry means to "measure the earth" and is the science of shape and size of things. It is believed that geometry first became important when an Egyptian pharaoh wanted to tax farmers who raised crops along the Nile River. To compute the correct amount of tax the pharaoh's agents had to be able to measure the amount of land being cultivated.Around 2900 BC the first Egyptian pyramid was constructed. Knowledge of geometry was essential for building pyramids, which consisted of a square base and triangular faces. The earliest record of a formula for calculating the area of a triangle dates back to 2000 BC. The Egyptians (5000-500 BC) and the Babylonians (4000-500 BC) developed practical geometry to solve everyday problems, but there is no evidence that they logically deduced geometric facts from basic principles.It was the early Greeks (600 BC-400 AD) that developed the principles of modern geometry beginning with Thales of Miletus (624-547 BC). Thales is credited with bringing the science of geometry from Egypt to Greece. Thales studied similar triangles and wrote the proof that corresponding sides of similar triangles are in proportion.The next great Greek geometer was Pythagoras (569-475 BC). Pythagoras is regarded as the first pure mathematician to logically deduce geometric facts from basic principles. Pythagoras founded a brotherhood called the Pythagoreans, who pursued knowledge in mathematics, science, and philosophy. Some people regard the Pythagorean School as the birthplace of reason and logical thought. The most famous and useful contribution of the Pythagoreans was the Pythagorean Theorem. The theory states that the sum of the squares of the legs of a right triangle equals the square of the hypotenuse.Euclid of Alexandria (325-265 BC) was one of the greatest of all the Greek geometers and is considered by many to be the "father of modern geometry". Euclid is best known for his 13-book treatise The Elements. The Elements is one of the most important works in history and had a profound impact on the development of Western civilization.Euclid began The Elements with just a few basics, 23 definitions, 5 postulates, and 5 common notions or general axioms. An axiom is a statement that is accepted as true. From these basics, he proved his first proposition. Once proof was established for his first proposition, it could then be used as part of the proof of a second proposition, then a third, and on it went. This process is known as the axiomatic approach. Euclid's Elements form the basis of the modern geometry that is still taught in schools today.Archimedes of Syracuse (287-212 BC) is regarded as the greatest of the Greek mathematicians and was also the inventor of many mechanical devices including the screw, the pulley, and the lever. The Archimedean screw - a device for raising water from a low level to a higher one - is an invention that is still in use today. Archimedes works include his treatise Measurement of a Circle, which was an analysis of circular area, and his masterpiece On the Sphere and the Cylinder in which he determined the volumes and surface areas of spheres and cylinders.There were no major developments in geometry until the appearance of Rene Descartes (1596-1650). In his famous treatise Discourse on the Method of Rightly Conducting the Reason in the Search for Truth in the Sciences, Descartes combined algebra and geometry to create analytic geometry. Analytic geometry, also known as coordinate geometry, involves placing a geometric figure into a coordinate system to illustrate proofs and to obtain information using algebraic equations.The next great development in geometry came with the development of non-Euclidean geometry. Carl Friedrich Gauss (1777-1855) who along with Archimedes and Newton is considered to be one of the three greatest mathematicians of all time, invented non-Euclidian geometry prior to the independent work of Janos Bolyai (1802-1860) and Nikolai Lobachevsky (1792-1856). Non-Euclidian geometry generally refers to any geometry not based on the postulates of Euclid, including geometries for which the parallel postulate is not satisfied. The parallel postulate states that through a given point not on a line, there is one and only one line parallel to that line. Non-Euclidian geometry provides the mathematical foundation for Einstein's Theory of Relativity.The most recent development in geometry is fractal geometry. Fractal geometry was developed and popularized by Benoit Mandelbrot in his 1982 book The Fractal Geometry of Nature. A fractal is a geometric shape, which is self-similar (invariance under a change of scale) and has fractional (fractal) dimensions. Similar to chaos theory, which is the study of non-linear systems; fractals are highly sensitive to initial conditions where a small change in the initial conditions of a system can lead to dramatically different outputs for that system.


Is a bottle cap a screw?

A screw has external threads, so methinks the screw-top BOTTLE is really the screw, and the cap a mere receptacle. Yes. And a screw is really a modified wedge or incline.


What are some examples of a screw in everyday life?

If you mean 'Screw Thread' I will give examples, but first understand that the word screw is a process. It is something you can do. We often say 'Screw these pieces together'. Now some examples :- Top of a toothpaste tube with a screw on lid. top of a jar of food with a screw on lid . A screw thread inside a water tap handle. Most common of all of course is a wood screw, and a metal thread screw or bolt.. Also the screw thread on the cap of a bottle of soft drink.


What mathematics science and technology originate in classical Greece and how were these ideas disseminated around the world?

Ideas such as Pascal's Triangle or Euclidian Geometry, the astrolabe or the Archimedes Screw, and Democracy can all find their roots in ancient Greece. These ideas were spread around the world through many different courses, but primarily through word-of-mouth and written texts. Western knowledge of the Greek accomplishments were preserved through the Middle Ages via the Arabic community, which experienced its Golden Age during the same time frame.

Related questions

Where did Archimedes work?

Archimedes worked at his home in Italy


What is the historical background of the screw machine products industry?

The concept of a screw dates back as far the third century B.C., when the Greek mathematician Archimedes designed a water-powered, screw-driven system to lift water.


Who is a greek mathematician and inventor?

Archimedes is a famous Greek mathematician and inventor. He made significant contributions to the field of mathematics, including the discovery of buoyancy principles and the calculation of the value of pi. He also invented various machines, such as the Archimedes screw and a heat ray device known as the "burning mirrors."


What were two of the mathematician Archimedes inventions?

The water screw and the block-and-tackle pulley system.


Inventor of screw gauge?

The screw gauge was invented by William Gascoigne around the year 1638. Gascoigne was a renowned astronomer and mathematician from England.


Is a screw a plane?

Well Some People Say It's Not But It Is You Have To Do The Math With It And Learn Geometry.


Who is the greek inventor of the water screw and pulley system?

Archimedes.


Was Archimedes an athiest?

Archimedies, b.287 BCE,d212BCE, was a mathematician most famous for his invention of the screw pump. Not alot was known about his personal life.


Who invented screw Jack?

Husnain Ali khan invented Screw Jack in 1980 WRONG invented by Leonardo da vinci in 1450 more recent I have worked with screw jacks since 1960


Water mechanisms in ancient greek?

Archimedes screw was a big one. They may (I believe) have had sewers as well.


What was the name of the person who invented the first screw?

In antiquity, the screw was first used as part of the screw pump of Sennacherib, King of Assyria, for the water systems at the Hanging Gardens of Babylon and Nineveh in the 7th century BC. The screw was later described by the Greek mathematician Archytas of Tarentum (428 - 350 BC). By the 1st century BC, wooden screws were commonly used throughout the Mediterranean world in devices such as oil and wine presses. Metal screws used as fasteners did not appear in Europe until the 1400s. In 1770, English instrument maker, Jesse Ramsden (1735-1800) invented the first satisfactory screw-cutting lathe. The British engineer Henry Maudslay (1771-1831) patented a screw-cutting lathe in 1797; a similar device was patented by David Wilkinson in the United States in 1798. In 1908, square-drive screws were invented by Canadian P. L. Robertson, becoming a North American standard. In the early 1930s, the Phillips head screw was invented by Henry F. Phillips.


How do you remove the screw that broke off the lug nuts?

You might need to drill it out, chipping away at it. (Had a similar experience myself - it worked after a lot of patience!)