Biographical Information on Archimedes

Being one of the greatest philosophers of his time, Pythagoras created a society of skilled mathematicians who worked together to facilitate mathematics, showed how numbers can be independent, and proved the Pythagorean theorem, making him iconic in mathematics today. His discoveries of simple yet essential methods are prevalent today throughout many mathematical fields in which they are treasured.

Archimedes was a Greek Mathematician from Syracuse, Italy. He was an astronomer, physicist, inventor, and an engineer. Minimal details of his life are yet to be discovered, but his achievement of being the leader of scientists in the classical antiquity. Over the years of his life, Archimedes obtained as much knowledge as he could from his teachers and then decided to travel an extremity to Egypt and there began his study of Alexandria. In a lapse of time Archimedes earned a scholarship and he was known for having a great reputation. When he was done with studying and traveling he returned home to continue in the path of invention and thought. Many legends compare to how Archimedes was a replica of King Hero II. Archimedes was also

Speaking of triangle’s Pythagoras’ most famous contribution to the world of mathematics, The Pythagorean Theorem was proved during this time period. Pythagoras did not create the Theorem, the creation is credited to the Babylonians and Indians, however Pythagoras was the first man to successfully prove the Theorem. The iconic equation looks like

Furthermore, his discovery was important because it's been the three laws of motion which also formed the basis of modern physic. The discovery, he made also led to a more powerful way to solving mathematics.

He discovered the laws of planetary motion, explained how gravity works, and invented calculus, a new branch of mathematics that proved invaluable to modern scientists and mathematicians.

The Greeks made several inventions, most notably in the subject of math, which are still studied today and taught in school. Mathematician Euclid is often credited as the “Father of Geometry” for all his work and studies in this subject, which are compiled in his books called The Elements. He organized known geometrical statements called theorems and logically proved all of them. He proved the theorem of Pythagoras (another Greek mathematician), which stated that the equation (c2 = a2 + b2) is true for every right triangle.

Eudoxus of Cnidus, born in 408 B.C. and died 355 B.C in Cnidus, Asia Minor, was well-known for his multitude of great achievements; both in astronomy and mathematics. However, focusing on his mathematical accomplishments, Eudoxus has made a significant mark in history due to his numerous contributions to mathematics. Working along with many famous philosophers and mathematicians such as Archytas, Philiston, and Plato, Eudoxus was able to broaden his knowledge and thus help lead modern-day mathematicians to a greater comprehension of the universe. Eudoxus, son of Aeschines, as a young man traveled throughout Greece and Egypt with the hopes of expanding his intellect of the world. One of his first voyages consisted of a journey to Tarentum.

Hipparchus of Nicaea changed the world of Math and Science for years after his final breath. Hipparchus is considered to be the father of Trigonometry, a branch of math, and to have study the orbit of the Moon and Sun determining their size and distance from Earth. Hipparchus of Nicaea is said to be one of the greatest scientist of all times. Despite his brilliancy barely anything is known about Hipparchus or his works. The information that we have on Hipparchus is second hand accounts from him many students, the work his students produced especially Almagest by Ptolemy, and the only surviving work that is still left today, Τῶν Ἀράτου καὶ Εὐδόξου φαινομένων ἐξήγησις (Commentary on the Phaenomena of Eudoxus and Aratus).

Galileo Galilei made contributions to the fields of physics, astronomy, cosmology, mathematics, and philosophy. He was an extraordinarily intelligent man and had a big part during the Enlightenment. He made his first discovery in 1581 while he was a student at the University of Pisa, where he originally went into medicine but switched his focus to mathematics. He described the rules that governed the motion of a pendulum. He was then the chair of mathematics at the Universities of Pisa and Padua from 1589 to 1610.

It has been said that Eudoxus "set the stage" (Mendell) for Archimedes' research and findings for volume and proportions. Archimedes was born in Syracuse on the island of Sicily, and is known for his mathematics, inventions of war machines, as well as his studies in physics, astronomy, and engineering. He is often regarded as the "father of integral calculus" (Rorres.) One fascinating concept Archimedes studied was mentioned in the virtual lecture: Archimedes explored the concept of calculating the area in a curve by calculating the volume of smaller and smaller triangles. This method is similar to what we are currently using in our modern definite integral

Archimedes was requested to check for the presence of silver in the king’s gold crown. Archimedes came up with the idea to get the solution as from when he was going to take a bath. Archimedes had stepped into his bathtub that was filled with water and caused it to overflow. Archimedes filled a bathtub with water to the brim with pure gold at the equal weight of the king’s crown. He then removed the gold and placed the kings actual crown into the bathtub. Archimedes knew that if there were traces of silver in the king’s crown then it would be heavier causing the water in the bathtub to overflow. The difference in weight is allows Archimedes to know that the kings crown is or is not made from solid gold. Archimedes realized that all bodies

Pythagoras was a bright young man, traveling to places like Egypt to learn more about the world. As he got older he came up with many ideas, such as the Pythagorean Theorem and the tetractys and even the Pythagoras cup.

Archimedes was one of the greatest inventors and mathematicians in history. He lived in ancient Greece during the third century B.C. He enjoyed physics, engineering, and mechanics. At times Archimedes would be so focused on his work, he would absolutely forget to eat and sleep.

For example, exact calculation of the Earth boundary “the distance around a circle or sphere”. He calculated this hard mathematic by using his normal and simple trigonometry and geometry knowledge by finding Earth as globe in space. During his time most Greek researcher Aristotle about (384-22 BCB) believed that the Earth is a globe, but none of was not sure that how big the Earth was. The entire Greek researcher observed that liners gone over the horizon while their poles were still noticeable. By this process Greek researcher know that the Earth is sphere. Also they had seen some changing movement position of all the stars in the big sky. He wrote few books that become very popular during that time, one of was named Catasterisms that about the constellation. This book was very helpful to find the story and description about each of the constellation, also it helps to count all the starts was included in it. But there were some confusion about his work which found by some scholars. From the Greek geographer’s books, he was showing his geographical skill and his all mathematical work was from the writing of the Pappus of Alexandria who was Greek geometer. He also wrote some books on geometry and arithmetic. However, he reported that his works was duplicating those were the cube and Sieve of Eratosthenes. It was a method for finding all the prime numbers. He not only wrote some books but also some literary critic, one of most common was “On the Old Comedy” that still available and it

He studied sciences and mathematics in the Mouseion among Strato’s pupils in Alexandria. It was here where Archimedes would make his first contribution to society (but certainty not his last). Archimedes’s invention of the Water Screw enabled the rest of the Nile delta that was uphill to be irrigated. His invention is still being used in some parts of Egypt to this day. When he returned to Syracuse he continued his studies of hydraulics and invented the subject of hydrostatics (the study of still water). Archimedes was also interested in geometry, and even used Aristotelian logic and reasoning to prove that Plato’s claim, which states that “It is possible to form a sphere out of a series of triangles or pentagons” was false. Archimedes continued to come up with more inventions and scientific breakthroughs, dazzling the people of Syracuse with his discoveries; most of which, would not have been possible without the influence of Aristotle. However, in 214 BC the city would come under siege by the Romans, but Archimedes would not give up without a