Euclid was one of the world’s most famous and influential Mathematicians in history. He was born about 365 BC in Alexandria, Egypt, and died about 300 BC. His full name is not known but Euclid means “good glory”. Little was ever written about Euclid and much of the information known are from authors who wrote about his books. He studied in Plato’s ancient school in Athens and later went to Alexandria in Egypt, where he discovered a well-known division of math, known as Geometry. Thus, he was named ‘The Father of Geometry’. Euclid taught at Ptolemy’s University, Egypt. At the Alexandria Library, It was said that he set up a private school to teach Mathematical enthusiasts like himself. It’s been also said that Euclid was kind and patient, and has a sense of humor. King Ptolemyance once asked Euclid if there was an easier way to study math and he replied “There is no royal road to Geometry”.
Euclid wrote the most permanent mathematical works of all time, known as “The Element”. This comprised of 13 volumes of work filled with Mathematic theories and knowledge ranging from axioms, and...
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
Leonhard Euler was an outstanding mathematician. He was born on April 15, 1707 in the old city of Basel in Switzerland. His father Paul Euler was a Calvinist priest and an amateur mathematician. His early education and training was based on theology and related subjects. Because his father wants him to become a priest. That’s why he entered the University of Basel to study theology and Hebrew. At the age thirteen, he graduated from the University in philosophy major. Fortunately, famous University professor Johann Bernoulli recognized his early extraordinary ability in mathematics and physics. Who also gave him a private lesson in mathematics every Saturday afternoon. Johann Bernoulli soon realized that Euler would become a great mathematician
Euclidean distance was proposed by Greek mathematician Euclid of Alexandria. In mathematics, the Euclidean distance or Euclidean metric is the distance between two points, which is shown as a length of a line segment and is given by the Pythagorean theorem. The formula of Euclidean distance is a squ...
Eudoxus is a Greek mathematician and astronomer who was born in 342-390 BCE, Cindus, Asia. He substantially exceeded in proportion theory also contributed to learning the constellations; in addition, to the development of observational astronomy in the Greek times and established the first geometrical model of celestial motion. Furthermore, he wrote about geography and contributed in philosophical discussions with Plato, who was Eudoxus teacher at that time. Eudoxus in the Greek language means “honored” or “ good repute”. His father Aeschines of Cnidus loved to watch the stars at night with him; therefore, becoming interested in learning about the constellations. Around 387 BC, Eudoxus at age 23 traveled with a physician named
Although little is known about Euclid's early and personal life, he was known as the forerunner of geometrical knowledge and went on to contribute greatly in the field of mathematics., Euclid was known to have taught the subject of mathematics in Ancient Egypt during the reign of Ptolemy I. He was well-known, having written the most permanent mathematical works of all time, known as the 'Elements' that comprised of the 13 gigantic volumes filled with geometrical theories and knowledge. Euclid’s Elements form one of the most beautiful and influential works of science in the history of humankind. Its beauty lies in its logical development of geometry and other branches of mathema...
Euclid’s Elements are predominantly the most fundamental concepts of mathematics, but his perspective on geometry was the model for over two millennia. He is believed by many to be the leading mathematics teacher of all time. However, little is known about his life outside of mathematics, or even when he was born or when he died. According to a passage written by Proclus, Euclid probably lived after Ptolemy and the pupils of Plato, but came before Archimedes and Eratosthenes. This places his existence sometime around 300 B.C. Euclid is most famous for having set the guidelines for geometry and arithmetic written in Euclid’s Elements, a series of thirteen books in which Euclid states definitions, postulates, and theorems for mathematical concepts that are still used today. What is most remarkable about the Elements is the simple, rational, and very logical structure in which Euclid presents the accumulated geometrical knowledge from the past several centuries of Greek mathematicians. The manner in which the propositions have been derived is considered to be the prime model of the axiomatic method. (Hartshorne 296).
Euclid, who lived from about 330 B.C.E. to 260 B.C.E., is often referred to as the Father of Geometry. Very little is known about his life or exact place of birth, other than the fact that he taught mathematics at the Alexandria library in Alexandria, Egypt during the reign of Ptolemy I. He also wrote many books based on mathematical knowledge, such as Elements, which is regarded as one of the greatest mathematical/geometrical encyclopedias of all time, only being outsold by the Bible.
Pythagoras was one of the first true mathematicians who was not only known for the famous Pythagorean theorem. His father was from Tyre while his mother was from Samos but when Pythagoras was born and growing up he spent most of his time in Samos but as he grew he began to spend a lot of time with his father. His father was a merchant and so Pythagoras travelled extensively with him to many places. He learned things as he went along with his father but the primary teacher known to be in his life was Pherekydes. Thales was also a teacher for himself and he learned some from him but he mainly inspired him. Thales was old when Pythagoras was 20 and so Thales told him to go to Egypt and learn more about the subjects he enjoyed which were cosmology and geometry. In Egypt most of the temples where the learning took place refused him entry and the only one that would was called Diospolis. He was then accepted into the priesthood and because of the discussions between the priests he learned more and more about geome...
Even though Aristotle’s contributions to mathematics are significantly important and lay a strong foundation in the study and view of the science, it is imperative to mention that Aristotle, in actuality, “never devoted a treatise to philosophy of mathematics” [5]. As aforementioned, even his books never truly leaned toward a specific philosophy on mathematics, but rather a form or manner in which to attempt to understand mathematics through certain truths.
Archimedes was one of the last ancient Greek mathematicians, following in the footsteps of Plato, Socrates, and Euclid. Historians call him "the wise one," "the master" and "the great geometer". Although he was also a scientist and inventor, it was his work in mathematics that has ranked him as one of the three most important mathematicians in history, along with Sir Isaac Newton and Carl Friedrich Gauss. Further, he was one of the first scientists to perform experiments to prove his theories. Archimedes’ discoveries in mathematics continue to have an impact today.
The concept of impossible constructions in mathematics draws in a unique interest by Mathematicians wanting to find answers that none have found before them. For the Greeks, some impossible constructions weren’t actually proven at the time to be impossible, but merely so far unachieved. For them, there was excitement in the idea that they might be the first one to do so, excitement that lay in discovery. There are a few impossible constructions in Greek mathematics that will be examined in this chapter. They all share the same criteria for constructability: that they are to be made using solely a compass and straightedge, and were referred to as the three “classical problems of antiquity”. The requirements of using only a compass and straightedge were believed to have originated from Plato himself. 1
These topics are taught every day in a geometry classroom sometimes even in algebra, trigonometry, and calculus classes and are used across the country by many people. Geometry is used in a lot of man-made objects, buildings, cars, airplanes, television sets, dishes, cups, computers and tons of other objects that are out there in the world. Geometry is a very important aspect of life as well as in school and standardized tests throughout the United States. Most people have the basic knowledge of Euclidean geometry because it is being used in our daily lives. The basic geometry of identifying shapes and lines are first introduced in the primary level of students, then Euclidean geometry is generally introduced in the secondary level which is in middle school and high school. A lot of people struggle to understand why we need to know Euclidean geometry and the importance of Euclid’s contribution. Euclidean geometry was viewed as an essential component of a sound education, not just for aspiring mathematicians, scientists, and engineers, but for everyone (Clark,
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
The 17th Century saw Napier, Briggs and others greatly extend the power of mathematics as a calculator science with his discovery of logarithms. Cavalieri made progress towards the calculus with his infinitesimal methods and Descartes added the power of algebraic methods to geometry. Euclid, who lived around 300 BC in Alexandria, first stated his five postulates in his book The Elements that forms the base for all of his later Abu Abd-Allah ibn Musa al’Khwarizmi, was born abo...
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 whether they are true or not. The first one is that given by Arabian authors who state that Euclid was the son of Naucrates and that he was born in Tyre. This is believed by historians of mathematics that this is entirely fictitious and was merely invented by the authors. The next type of information is that Euclid was born at Megara. But this is not the same Euclid that authors thought. In fact, there was a Euclid of Megara, who was a philosopher who lived approximately 100 years before Euclid of Alexandria.