Greece: Algebra And Euclidean Geometry

Greek civilization had continuous development throughout history. They were considered to have had the most direct association with western civilization and most influential impact on human development and its continued practices. The Grecians also built an empire, developed numerous art forms such as literature, pottery, architecture and won numerous wars against the Persians and other invaders. For many centuries Greece had to fight to survive and defend their land but getting to the point of being victors of the Persian war they had to overcome and endure lots of challenges. Winning the Persian war was not an easy win for the Grecians, it took lots of labor and the formation of alliances working together with a common goal.

Ancient Greece is one is one of the most important civilizations in history. Why? Simply because they were the base of many things that we believe in, practice, or build upon today. Some examples are language, architecture, art, science, and much more. Over hundreds and thousands of years technology, agricultural techniques, weapons, and education has advanced and evolved. Many of these ideas not only started within Ancient Greece, but within other ancient civilizations as well. Have you ever wondered what life would have been like if the ideas and inventions that Ancient civilizations had uncovered had not been shared with other societies?

Rome and Greece were two extremely important and iconic ancient civilizations. They had some things in common, but they differed in most areas. With Rome being located in Italy, and Greece being so close they are often compared. From politics down to the culture that existed in these places, they differed in many ways, Rome and Greece had distinctive personalities, which was what made them both so unique in their own ways.

Ancient Greece was a civilization from the archaic period of the 8th to 6th centuries and also belongs to a period of Greek history and until the end of antiquity. Ancient Greece is best known for the great Greek tradition such as Democracy, Science, Theoretical Mathematics, Philosophy, History, Art (naturalistic), and Drama (Notes). Greek worship gods and made sacrifices to them. Ancient Rome falls under the italic civilization beginning on early 8th century B.C. Romulus and Remus found the city of Rome in 753 B.C. Roman view themselves as Hard Working, Farmers, Frugal, Pious, Conservative, Brave, Self-sacrificing, Indomitable, Honorable, and they are loyal to Roman Republic (Notes). Their devotion toward gods is high as well. The literary and scientific intellectual traditions of ancient Greece, Rome survived the fall of Roman Empire have great impact on western civilization through the middle ages because the Hellenistic culture, Democracy, Greek philosophy and Arts and Architecture are carried and merged along through middle ages and are still in used in today’s world.

Rome and Athens were both superpowers during their time and paved the way for modern day western culture. There were a few things that Rome did better though including their citizenship system. The following reasons are why Rome’s citizenship system works better than Athens’. Firstly the Romans allowed a higher number of people to become citizens. The next reason is that Rome made sure that their citizens were playing a role in society. Lastly the Romans had a more organized and efficient senate than that of the Athenians.

Greece was full of great battles, thriving, and strong warriors. Greece is responsible for our way of government, and still influences our everyday way of life. They came up with the alphabet, the numbers, and our way of science, slightly altered due to new technology, They even came up with philosophy. The greek timeline is full of surprises.

The reason Rome is better than Athens is because they were superior to their enemies. The Roman Republic was in the Italian peninsula in 509 to 27 BCE. Rome was better than was better than Athens is because they were more uniform in their systems and rules and laws. They both had their Downpoints and their Strengths but Rome still came out stronger.Rome was able to thrive as a more advanced system than Athens because they had a more organized voting system, allowed for equitable rights, and had allowed citizen to actively participation the government.

While both Roman and Greek cultures greatly influenced Western Civilization, Greeks contributed more to the western world than the Romans. The Greeks used their own ideas and thought of new ways to add to their culture, while the Romans mostly mixed and matched ideas from other civilizations and cultures to make their own. The Romans took up the inheritance of the Greeks adapted it to their own language and national traditions. (Grant 2)The Greeks introduced many new ideas and traditions, the most important being democracy - Athenian democracy in particular.

The people of Greece believed in dependable laws that provided rational answers for questions about life. People of Greece would think in a way, that provided many pathways to advancements. The people of Greece wondered how the stars moved; what were the materials that composed the universe; mathematical laws that govern harmony and beauty, geometry and physics. Philosophy originally originated from Greece. In fact, Greece had some of the most influential philosophers who wondered about the world and society, like Socrates, Aristotle, and Plato. On the other hand, since Rome was so invested into conquering, they did not focus that much on philosophy. Therefore, Greeks are more superior in their knowledge of the world, thus proving Greece was more successful than

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.

Page Break Pythagoras is known as the first pure mathematician. Pythagoras believed in many things. One of them being that... "all things are numbers. Mathematics is the basis for everything, and geometry is the highest form of mathematical studies.

Pythagoras was an exceptional thinker who had a crucial impact on the field of mathematics. His unique ways of thinking and problem solving led to him creating a new theorem, entitled the Pythagorean Theorem, which significantly changed what was known about math. Although there are no known books written about or by Pythagoras from that time, he was influential in the math field and its expansion.

Geometry first originated as a way to solve problems in architecture and navigation. A famous figure in geometry is Euclid. Around 300 BC, he published a book, The Elements, which contained definitions, axioms, and postulates that would be regarded as a standard of mathematical reasoning for the next two thousand years (Mueller, 1969). Euclid basically gave the foundation of what is now called Euclidean geometry. However,

Ancient Greece and Rome share many different similarities and differences. They range from topics such as agriculture, art, literature and more. These topics have helped them develop in many positive ways. Both of these countries also inspire each other with new ideas. Greece and Rome are both Mediterranean countries.

If Greece is the birthplace of European culture, Rome is the cradle of western civilization and society. Modern politics, law, architecture, warfare, republicanism