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.
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
With many influential contributions how can one not admire them from philosophy, art, architecture, science, and math. The ancient Greeks were also able to accomplish this while fighting the Persian and Peloponnesian war. In philosophy there was Socrates Aristotle, and plato. Socrates created the socratic method which today is known as the scientific method which is still commonly used in science. Some of the greatest achievement in Greek were science and math from medicine, biology, physics, geometry, psychology, and astronomy.
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.
One of his propositions is the idea of a theorem, “If two straight lines cut one another, the vertical, or opposite, angles shall be equal.” (DOC.5) Today, we know this to be true. This shows how the Greeks advanced because of their new thinking in regards to mathematics and sciences. Another advanced academic scholar from this time was a Greek philosopher named Socrates. A popular quote from Socrates is “The unexamined life is not worth living.”
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.
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.
Renè introduced Cartesian geometry, which incorporates algebra, through his laws of refraction, he developed an empirical understanding of rainbows, and he proposed a naturalistic account of the formation of the solar system, although he felt he had to suppress much of that due to Galileo’s fate at the hands of the
In medicine, they understood the body’s dependence on the brain over 1000 years before the Greek scholar Democritus. Scholars believe that ancient Egypt had a key influence on ancient Greece, and they point to the fact that Greeks such as Pythagoras and Archimedes studied in Egypt. They also claim that the work of Aristotle and Plato was largely based on earlier studies in Egypt. For example, what is commonly known as Pythagoras’ theorem, was known to the ancient Egyptians hundreds of years before Pythagoras was even
