## Quick Answer: One Of His Discoveries Was In Geometry And Hydrostatics Which Is The Properties Of Standing Water.?

Archimedes is especially important for his discovery of the relation between the surface and volume of a sphere and its circumscribing cylinder. He is known for his formulation of a hydrostatic principle (known as Archimedes’ principle) and a device for raising water, still used, known as the Archimedes screw.

## What did Archimedes discover in geometry?

Archimedes proved, among many other geometrical results, that the volume of a sphere is two-thirds the volume of a circumscribed cylinder. This he considered his most significant accomplishments, requesting that a representation of a cylinder circumscribing a sphere be inscribed on his tomb.

## Who discovered water displacement?

Archimedes’ principle, physical law of buoyancy, discovered by the ancient Greek mathematician and inventor Archimedes, stating that any body completely or partially submerged in a fluid (gas or liquid) at rest is acted upon by an upward, or buoyant, force, the magnitude of which is equal to the weight of the fluid

## What did Archimedes invent?

The first recorded algorithm for rigorously calculating the value of π was a geometrical approach using polygons, devised around 250 BC by the Greek mathematician Archimedes. This polygonal algorithm dominated for over 1,000 years, and as a result π is sometimes referred to as “Archimedes’ constant”.

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## What did Archimedes do for mathematics?

Archimedes was the greatest mathematician of his age. His contributions in geometry revolutionised the subject and his methods anticipated the integral calculus. He was a practical man who invented a wide variety of machines including pulleys and the Archimidean screw pumping device.

## Did Archimedes discover pi?

The first calculation of π was done by Archimedes of Syracuse (287–212 BC), one of the greatest mathematicians of the ancient world. Archimedes knew that he had not found the value of π but only an approximation within those limits. In this way, Archimedes showed that π is between 3 1/7 and 3 10/71.

## When was water displacement discovered?

ARCHIMEDES’S PRINCIPLE: A rule of physics which holds that the buoyant force of an object immersed in fluid is equal to the weight of the fluid displaced by the object. It is named after the Greekmathematician, physicist, and inventor Archimedes (c. 287- 212 b.c. ), who first identified it.

## Who is called as father of geometry?

Euclid, The Father of Geometry.

## How did Archimedes discover flotation?

Archimedes measured the weight of displaced water. After which, Archimedes continued to measure the specific gravity of various solids and fluids. Through these measurements, he reached the discovery of the law of buoyancy directly by experiment.

## What was Archimedes first invention?

In the 3rd Century BC, Archimedes: invented the sciences of mechanics and hydrostatics. discovered the laws of levers and pulleys, which allow us to move heavy objects using small forces. invented one of the most fundamental concepts of physics – the center of gravity.

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## When did Archimedes invent?

When the Romans invaded Syracuse in 214 B.C., Archimedes invented “engines of war” to defend the city, including cranes to drop rocks, claws to lift ships from the water, and machines to fire wooden missiles. He also devised a system of mirrors that focused the sun’s light on enemy ships, setting the ships on fire.

## What did Euclid discover?

In the Elements, Euclid deduced the theorems of what is now called Euclidean geometry from a small set of axioms. Euclid also wrote works on perspective, conic sections, spherical geometry, number theory, and mathematical rigour.

## What two discoveries is Archimedes most famous for?

Archimedes is especially important for his discovery of the relation between the surface and volume of a sphere and its circumscribing cylinder. He is known for his formulation of a hydrostatic principle (known as Archimedes’ principle) and a device for raising water, still used, known as the Archimedes screw.

## Why is Archimedes the father of mathematics?

Archimedes is considered the father of mathematics because of his notable inventions in mathematics and science. He was in the service of King Hiero II of Syracuse. At that time, he developed many inventions. This step of most outstanding achievement is used in mathematics to calculate the measurement of a circle.

## Who discovered mathematics?

Beginning in the 6th century BC with the Pythagoreans, with Greek mathematics the Ancient Greeks began a systematic study of mathematics as a subject in its own right. Around 300 BC, Euclid introduced the axiomatic method still used in mathematics today, consisting of definition, axiom, theorem, and proof.