Pythagoras Dbq

Pythagoras made influential contributions to philosophy and religion in the late 6th century BC. He is often revered as a great mathematician and scientist and is best known for the Pythagorean theorem which relates the two sides of a triangle to the hypotenuse using the formula a squared plus b squared equals c squared. However, because legend and obfuscation cloud his work even more than that of other pre-Socratic philosophers, one can give only a tentative account of his teachings, and some have questioned whether he contributed much to mathematics or natural philosophy. Many of the accomplishments credited to Pythagoras may actually have been accomplishments of his colleagues and successors. Some accounts mention that the philosophy associated with Pythagoras was related to mathematics and that numbers were

The Pythagorean School, for example, contributed many ideas to the mathematic community, among them, studies of geometry and the theory of proof.5 Euclid also lived in the time of ancient Greece and became a prominent mathematician, as well as author of a book about geometry called, The Elements, considered the second best-selling book of all time.6 The works of Pythagoras and Euclid have become fundamental building blocks for any person with an eighth-grade understanding mathematics. With these advancements, as well as innovations from Archimedes and Apollonius of Perga, Islamic scholars translated their works and contributed even more, growing the worldwide understanding of mathematics.7 Greek progressions in geometry as well as the theory of proof contributed greatly to our ultimate understanding of contemporary mathematics, without which, our modern society would be

Greek mathematical and scientific ideas have also been a large contribution. Euclid, a Greek mathematician, wrote many theorems. His theorems have been very substantial because they are included in today’s mathematical problems. One of his theorems include “If two straight lines cut one another, the vertical, or opposite, angles shall be equal.” This specific theorem is used in proofs and it proves that all vertical angles are equal. Hippocrates was a Greek physician who created the Hippocratic Oath. This oath

Hipparchus was a greek astronomer, geographer, and mathematician born 190 B.C. in Nicaea and died in 120 B.C. Rhodes, Rhodes, Greece. Hipparchus is accredited as the inventor of trigonometry because of his discovery of the first table of chords and also because he's the only person with valid data of the discovery and usage of trigonometry. In order to calculate the rising and setting of zodiacal signs, Hipparchus brought to light the division of circles into 360 degrees and the calculation of chords by looking at the triangles (spherical triangles or triangles that made up a circle) differently. Hipparchus experimented putting all triangles to be within a circle and with the three points each touching the

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.

A few things I found interesting when I watched “Donald In Mathmagic Land”, was an ancient Greek man named Pythagoras also known as the father of mathematics. He discovered many fundamental things such as fractions that helped him create a formula that soon became the basis to music with the help of his fraternity as well. A secret pentagram was used as a password entry to for their meetings in order for them to speak about their mathematical discoveries. I did not know that mathematics was essential in order to create music. Pythagoras also discovered the pentagram had many mathematical functions such as the golden section and many shapes. One of the shapes found within the pentagram was the golden rectangle which helped create famous sculptures,

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,

The renaissance architects and artists has already influence into the mathematical term of portion and perspective because their works have ticked the rivaled nature. As explain the article Galileo used mathematical in a equal skill to reveal that the underlying structure of physical space and emotion could be reduced to mathematical analysis. So in his analysis Galileo described that connecting physical space and real motion could be observed that a uniform change of his neo-platonic, mathematical world. Galileo was the most important person in Europe because he was the bridge for the the scientific revolution in that continent.

Pythagoras contributed to our understanding of triangles, angles, areas, proportion, polygons, and polyhedra. Pythagoras also related music to mathematics so that's why he is also credited with the discovery that the intervals between the harmonious musical notes always have whole number ratios. For instance, playing half a length of a guitar string gives the same note as the open string, but an octave higher; a third of a length gives a different, but harmonious note; etc. He had long played the seven string lyre, and learned how harmonious the vibrating strings sounded when the lengths of the strings were proportional to whole numbers, such as 3:2, 2:1, 4:3. But Pythagoras intelligence not only came from him but with the help of his followers, so yeah it wasn't all truly all his work but he was for sure a good mathematician. Furthermore, in conclusion I feel like Pythagoras was an amazing mathematician for sure and his followers as well because though they did not get the credit for it they also were a great

There are many great philosophers in this world. Some of which are extremely well known and almost everyone knows their names like Socrates, Plato Aristotle Locke and so very many more. Pythagoras is a less known philosopher who had a lot of discoveries while leading a life in a secretive manner. He was an enigma and the leader of a religious sect cult who believed the universe to consist solely of whole numbers and their ratios. Pythagoras said "Do not talk a little on many subjects, but much on a few." Has one ever wondered where did he learn his vast knowledge of mathematics and religious aspects leading to the Pythagorean cult, or what was all of his discoveries besides

Calinger, Ronald (1999). A Contextual History of Mathematics. Prentice-Hall, 150. ISBN 0-02-318285-7. “Shortly after Euclid, compiler of the definitive textbook, came Archimedes of Syracuse (ca. 287–212 B.C.), the most original and profound mathematician of antiquity.”

During his career, Eratosthenes became a well renowned mathematician although he was just short of being the best, he was beat out by Archimedes who was the best in almost every subject. Throughout his life Eratosthenes was called β which is the second letter in the Greek alphabet. In 247 B.C. Eratosthenes was appointed to be the Librarian of Alexandria by Ptolemy III Euergetes. Eratosthenes also created the Sieve of Eratosthenes which is a simple, yet effective way of finding prime numbers. The most notable thing he did was find the circumference of the earth, he did this by adopting a simple

     Euclid of Alexandria was born in about 325 BC. He is the most prominent mathematician of antiquity best known for his dissertation on mathematics. He was able to create “The Elements” which included the composition of many other famous mathematicians together. He began exploring math because he felt that he needed to compile certain things and fix certain postulates and theorems. His book included, many of Eudoxus’ theorems, he perfected many of Theaetetus's theorems also. Much of Euclid’s background is very vague and unknown. It is unreliable to say whether some things about him are true, there are two types of extra information stated that scientists do not know

The earliest record of the quadratic that we know of dates back to the Babylonians, solved on a tablet. Historians and Mathematicians do not have any clue about how the Babylonians came to solve the quadratic, but think that they came across is geometrically. Stewart shows how Euclid’s Elements of Geometry introduced the basic methods for constructing a proof. Included in Elements in Proposition 9 of Book I is how Euclid shows how to bisect an angle with only a compass and a straightedge. Elements did not include information on how to trisect and angle though, which could have been used for the construction of a regular 7-gon.

Euclid Of Alexandria may be the best-known mathematician of the world, he is best known for his work on mathematics The Elements. The fact that his work has survived so long, 2000 years in fact, is a tribute to his mathematical genius, however very little of him is known. Three theories abound as to the true nature of this historical figure. Not all historians agree that Euclid was in fact a historical figure, some argue that the school in Alexandria took up the name Euclid to publish their works. But the more accepted theories are that Euclid was in fact a real historical figure who may have been the leader of a team of mathematicians.