This will lead to his discovery of the three laws of planetary motion that explained how the planets moved and why they looked how they do in the sky. 4) Galileo Galilei was an astronomer whose studies would reveal the importance to astronomy not only of observation and mathematics but also of physics. His self-consciousness about technique, argument, and evidence would make him one of the first investigators of nature to approach his work in the same way as a modern scientist. 5) Francis Bacon was one of science’s greatest propagandists, and he inspired an entire generation with his vision of what scientific inquiry could do for humanity.
The Ancient Greeks laid foundations for the Western civilizations in the fields of math and science. Euclid, a Greek mathematician known as the “Father of Geometry,” is arguably the most prominent mind of the Greco-Roman time, best known for his composition in the area of geometry, the Elements. (Document 5) To this day, Euclid’s work is still taught in schools worldwide.
Archimedes is the most impactful and important mathematical genius that ever existed in humankind. Born in 287 BC in Syracuse, Italy, Archimedes is the son of the astronomer Phidias. Archimedes is most known for his accomplishments in mechanics and pi. Archimedes was instrumental in inventing many mechanical tools which have affected our history and the modern day world.
In astronomy they found that the sun was 300 times larger than the earth. As well as that the universe was composed of atoms. Also, they were able to calculate the size of the earth. In mathematics they came up with the value of pi, and were also known for the book called elements which was wrote by Euclid. In the physics area they invented the lever pulley and the force pump which came to be the steam engine.
He found the first “reliable figure” for π(pi) (Source A). In ancient Greece, the crude number system was very inefficient, and Archimedes made it easier to understand and count to higher numbers (Source B). Finally, he used the first known form of calculus while studying curved surfaces under Euclid, not to be later worked on for 2,000 years by Isaac Newton (Source A).
Some of these things are geometry, trigonometry, and the Thales intercept theorem. Trigonometry was invented by Hipparchus, geometry was invented by Euclid, and the inventor of the intercept theorem was obviously Thales. They did even more than this by improving methods in math. They also made one of the most important numbers in the world! This was known as pi, the 16th letter in the Greek alphabet.
The Greeks made lasting contributions in the fields of both, specifically geometry and medical sciences. This is shown in Document 4, where an excerpt of one of Euclid’s geometrical theorems is presented. The Document states, “Proposition 15, THEOREM: If two straight lines cut one another, the vertical, or opposite, angles shall be congruent (equal).” This is just one of many of Euclid’s propositions, showing how the Greeks developed the basis for the geometry we have
The Greeks pioneered democratic principles, with Athens serving as a notable example. This experimentation with democracy laid the foundation for subsequent political systems. Additionally, Ancient Greece was a cradle of intellectual and artistic achievements. Philosophers like Socrates, Plato, and Aristotle explored fundamental questions of ethics, politics, and metaphysics, influencing subsequent Western thought. Greek mathematicians, architects, and scientists made significant advancements, with figures like Pythagoras, Euclid, and Archimedes shaping their respective fields.
In Archimedes life, there were major events happening. One of them was the attack of Rome in Syracuse. Archimedes have a lot of talents so he devoted his talents to defend his city from the Romans and came up with some fascinating inventions. Two of the most famous were the Claw of Archimedes and the Heat Ray. For the Claw of Archimedes, it was a large crane with a grappling hook on the end of it.
Dedrick Wang Is the American Dream Still Alive? America: the land of the free, home of the brave, and the nation of opportunity. America is a country constructed upon the core beliefs that every individual has the right to life, liberty, and the pursuit of happiness. Through grit and perseverance, America has rose to become a global superpower. However, after centuries of evolution, our great nation has encountered a crisis which challenges our very identity and the American Dream itself.
Archimedes of Syracuse was an Ancient Greek mathematician, physicist, inventor, engineer, and astronomer. He studied at Alexandria in the 3rd century BCE. Although he was an accomplished engineer, his true love was pure mathematics. In fact, he was considered one of the greatest mathematicians of the ancient past. Archimedes not only produced formulas, but also discovered the precise value of pi.
The world knows who puts the marvelous in math, and this great “mathematician” is known as Pythagoras. Pythagoras is a man who lived a long time ago, and he had outstanding abilities in mathematics. Pythagoras lived from about 569 BCE- 500 BCE and, he contributed to many of the rules in math known today in the short period of time he was alive. He realized his love for math and had so many great mathematical ideas, so he created a brotherhood that enjoyed math as much as he did. He is greatly respected throughout the world for his contributions to many subjects such as Anatomy and Engineering.
The ancient architectural lines and concepts, including the Doric and Corinthian columns, were used as ideal for modern artists and academics, to the point of still being studied and imitated today. c. Science Science in ancient Greece was profoundly important and it made major contributions to what we know and the fundamentals of modern science today. Ancient Greek mathematicians such as Pythagoras and Archimedes provided the staples to understand geometry and mathematics (Khan Academy, n.d.). Hippocrates, a physician of ancient Greece, was one of the first persons to study medicine empirically and write documental papers.
Pythagoras studied with two other philosophers, Anaximander and Pherekydes (Pythagoras of Samos). Thales taught him mathematics and astronomy. Anaximander taught him philosophy and geometry. Another one of Pythagoras’s teacher Pherekydes taught him philosophy (Biography of Pythagoras). Thales advised him to visit Egypt to expand his wisdom and understanding of the world (Karamanides 22).
The Greeks were also the first to pull away from just seeing math as a means to solve problems but incorporated there study of philosophy into it and began work in the realm of pure mathematics and believed that all mathematical knowledge could be derived from reasoning and deduction. Also unlike the Babylonians, they based their number system around a much more practical and familiar system of numbers: numbers with a base of 5's and 10's. Much of Greek mathematics was centered around geometry. one of the Seven Sages of Ancient Greece ; Thales, who lived on the Ionian coast of Asian Minor in the first half of the 6th Century BC, was considered to have been the first to put fourth guidelines for the abstract development of geometry, although what we know of his work now seems quite elementary (such as right triangles). One of the more significant contributors to modern geometry and mathematics in general was Pythagoras, although he didn't necessarily create the theorem he was credited for (that should have gone to the Babylonians), he further developed in and made several other major contributions.
