Archimedes Accomplishments

One of Thales’ most renounced findings include his discovery in geometric studies in the area reading the rules of triangles. He came to the conclusion that if the base angles of an isosceles triangle are equal, the sum of the angles of a triangle are equivalent to two right angles. With the application of “geometric principles to life situations, Thales was able to calculate the height of a pyramid by measuring its shadow, and the distance of a boat to the shore, by using the concept of similar triangles” (pg. 5, Muehlbauer). Realizations such as these helped shape the beginning for the formation of natural law based on observations of the world through explanation.

Review the Ptolemaic model and the Copernican model. Also, give a lecture on Nicolaus Copernicus and Ptolemy as individuals.

In other words Claudius Ptolemy was an astronomer who was born during the year 85 AD . He spent most of his life studying how the Earth, Planets, and Sun moved. He was one of the very first astronomers so, not very much was known. A lot of people doubted him because in his time religion was very important and they thought that they only thing you couldn't see with the naked eye was Heaven and hell. His first time he published his observation was on March 26th 127. He spent almost 20 years getting his theory to make sense. He knew people wouldn't believe him so he broke down his discovery into thirteen books and each book was a part of his discovery. After he published his first one he was able to do a couple small ones, but sadly, the last of his discoveries was made on

During this time period many things were invented like the astrolabe, sextant, and caravel. The caravel was invented by the portuguese, was much less heavy so it could travel up rivers, was quicker for the longer journeys, and had a triangular sail instead of a rectangular sail. The astrolabe was an instrument that, in its earlier time, was used for astronomy and astrology but ended up mainly being used as a tool of navigation and to solve problems involving trigonometry, problems relating to time, and the position of the sun and stars. The astrolabe was invented by Hipparchus who lived from 190 BC - 120 BC and also made major contributions to trigonometry. Trigonometry is a type of math that involves the relations between a triangle’s angles and sides.

Daniel Bernoulli was born February 8, 1700, Groningen, Netherlands, he died March 17, 1782, Basel, Switzerland. He is known for his work on hydrodynamics, and he also did pioneering. During 1725-1749 he won a total of 10 prizes from the Paris Academy of Sciences for his work on astronomy, gravity, tides, magnetism, ocean currents, and the ships at sea. He also made substantial contributions in probability, he shared the 1735 prize for work on orbits with his dad, he was thrown out the house because his dad felt the prize he won should be only his. His prizewinning papers reflected on his life success on the research of science and the ability to be an interested public the scientific problems of the day. 1732 he accepted a post in anatomy

He surpassed all others by mastering astrology and was the first to discover spherical nature.

“He said this principle is water because it is wholly from water that life itself comes from and into which it dissolves, he also declared that the earth rest on water getting the notion perhaps from seeing that the nutriment of all things is moist and that heat itself is generated from moisture and kept alive by it, and that from which they come to be is a principle of all things. He got his notion from this fact, and from the fact that seeds of all things have a moist nature, and that water is the origin of the nature of moist things.” He explained earthquakes, for example, by hypothesizing the Earth floats on water and that an earthquake occurs when the Earth is rocked by waves. He was also an important innovator in astronomy, and he had an effective theory of the path of the sun from solstice to solstice. Some have attributed him with the "discovery" of the seasons of the year and the 365-day

A well known story about Archimedes is that he discovered that every item has a different density. It is said that he was in the bath tub and realized that the water would rise up when different amounts of weight was placed in the water. It was in the tub that Archimedes is said to realize that objects of the same weight would displace different amount of water. It is known with certainty that he then ran through the streets naked saying,

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.

The basic assumption of Aristotelian physics was that the natural state of terrestrial matter is at rest, and that earth air and water would continually strive to reach their natural place at the center of the earth unless impeded by an impenetrable surface like the ground or a ceiling. He assumed that the natural resting place of fire was somewhere above the earth but below the moon. this model held that the complicated nature of the circulation of the air was a result of the conflict between fire, which was trying to

Did you know that Pythagorean Theorem was actually created well before our generation’s time period? Yes, it seems that is pretty basic knowledge, but did you know it was actually created in B.C. and instead of A.D.? The brilliant mind to thank for such an achievement is the man who goes by the name Pythagoras. However the Pythagorean Theorem isn’t his only accomplishment, he was so advanced for his time, that he had many achievements. But to the best way to examine these accomplishments is to start at the beginning.

The Greek Philosopher Empedocles is a part of the Pre-Socratic (philosophers before Socrates). He is best recognized for describing the four building blocks that construct the universe. His way of explaining elements were depending on the mixture and the combination of fire, air, earth, and water (page 128) all matter was made from these four building blocks. Aristotle developed the 4 building block theory by comparing the four elements with -hot, moist, cold,

The people of his day were more interested in practical purposes rather than their physical or mathematical implications. As told in a book concerning Greek history "Archimedes emerged as a figure larger than life in the popular imagination, legendary for the seeming miracles he performed through his mechanical inventions" (Brunschwig, 544). Aside from the creation of these weapons Archimedes achieved many advances in the various fields in which he was involved. One example of this is Archimedes' use of an exhaustion method, cutting up shapes into infinitely small pieces to discover their volumes. This method paved the way for what we now call integral calculus, which was later perfected by 16th and 17th century scientists such as Kepler and Newton (Grande, 240). Many of his exploits and achievements have been passed down for generations and oftentimes find themselves being retold in colorful and imaginative stories, some of which are not entirely truthful.

In Famous scientist’s (2015) article Pythagoras it states that five 3D solids were brought into existence by Pythagoras and the Pythagoreans, these items are identical on all of the sides and today they are called dice. The ranged from four sides all the way up to twenty and later Plato believed they belonged to the five Greek elements including aether (n.pag). They said “Pythagoras believed that, like everything else, music was based on whole number ratios. He also believed in its healing properties.”(n.pag) He later would learn that music was controlled by rations, like if a sting is shortened by half it raises an octave or if it’s shortened two-thirds then it moved the pit up one-fifth discovering that octaves are split into fifths not halves (n.pag). Those are the biggest discoveries of Pythagoras and the Pythagoreans, but they still has many more different discoveries. He has been accredited with a lot for being an enigma, and having written no books in his life. Even so the thoughts from learning of this brilliant mathematician tickles the mind and creates great and wonderful thoughts and ideas for many people. Learning about all of this should inspire anyone to travel and learn the ways of other countries and customs and even grasp their mathematical

Euclid’s assumptions about his postulates have set the groundwork for geometry today. He provided society with definitions of a circle, a point, and line, etc and for 2000 was considered “the father of geometry.” His postulates proved to be a framework from which mathematics was able to grow and evolve, from two thousand years ago, till Newton and even to all our classrooms today.