Eudoxus of Cnidus 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 …show more content…
He published two books called “Mirror” and “ The Phaenomena”, which took him a year for both books to be completed and revised by other astronomers. The works were lightly criticized, in the light of strong knowledge, by the intellectual astronomer Hipparchus two centuries later; however, they were pioneering compendia and was proved useful. Several verbatim quotes were given by Hipparchus in his commentary on the phenomenal poem of Aratus, which drew on Eudoxus and was entitled phenomena. Another book called “Disappearances of the Sun”, may have been worried with the eclipses, and perhaps with increasing s and settings as well. He composed an astronomical poem that may result in confusion with Aratus although a genuine Astronomia in hexameters, in tradition, is a probability. Nowadays, the mathematical labor of Eudoxus is not particularly well known to the public due to the fact that he did not leave anything behind that could ensure that he had posthumous fame. He left no important theorem as the Pythagoras, nor mathematical assumptions like Euclid. Eudoxus main contribution was the theory of proportions that helped in the involvement of Pythagorean geometry, which did not contain any source of
For Gallus told us that the other kind of celestial globe, which was solid and contained no hollow space, was a very early invention, the first one of that kind having been constructed by Thales of Mileus, and later marked by Eudoxus with the constellations and stars which are fixed in the sky. Price 56 -. This description is helpful for understanding the basic form of Thales' sphere, and for pinpointing its creation at a specific point in time. However, it is clearly a simplification of events that occurred several hundred years before Cicero's lifetime. Why would Thales create a spherical representation of the heavens and neglect to indicate the stars?
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.
He took his teaching duties very seriously, while he was preparing lectures for his charge on variety an of topics about science. The first scientific work dates were all from this period. It involves topics, which would continue to occupy him throughout his life. In 1571, he began publication of his track. It was intended to form a preliminary mathematical part of a major study on the Ptolemaic astronomical model. He continued to embrace the Ptolemaic (Parshall 1).
In 1543 Nicholas Copernicus, a Polish Canon, published “On the Revolution of the Celestial Orbs”. The popular view is that Copernicus discovered that the earth revolves around the sun. The notion is as old as the ancient Greeks however. This work was entrusted by Copernicus to Osiander, a staunch Protestant who though the book would most likely be condemned and, as a result, the book would be condemned. Osiander therefore wrote a preface to the book, in which heliocentrism was presented only as a theory which would account for the movements of the planets more simply than geocentrism did, one that was not meant to be a definitive description of the heavens--something Copernicus did not intend. The preface was unsigned, and everyone took it to be the author’s. That Copernicus believed the helioocentric theory to be a true description of reality went largely unnoticed. In addition to the preface, this was partly because he still made reassuring use of Ptolemy's cycles and epicycles; he also borrowed from Aristotle the notion that the planets must move in circles because that is the only perfect form of motion.
Hippocrates taught in Athens and worked on squaring the circle and also worked on duplicating the cube. He grew far in these areas and although his work is not lost, it must have contained much of what Euclid later included in Books One and Two of the Elements.
To achieve my goal, I have organized my paper into three main sections, one of which has sub-sections. In the first section, I will explain the Greek mythology that is associated with the constellation Cepheus. In the second section, I will describe the physical characteristics of this constellation: discovery, location, shape, size, visibility, stars, and special characteristics. I will end my paper with a conclusive section about my constellation and research.
Ptolemy, was a Roman astronomer who lived about 100 years after the time of jesus created a diagram of how he thought the universe worked, geocentric. On the contrary, Nicolaus Copernicus, who lived from 1473 to 1543 relied mostly on mathematics, referring to the universe as being heliocentric. Copernicus's theory of the universe was upsetting to the church on account of his ideas being based more on mathematics rather than the church’ beliefs. Copernicus made the perspective of man's dominance in a powerful world show to be no longer
Aristarchus lived from about the year 310 B.C. to about 230 B.C. Aristarchus was the first Greek philosopher and mathematician to make sense of the solar system. Others before him thought that the Earth is a sphere and that it moves, but he was the first to understand the heliocentric theory, which states that the sun is in the middle. In 288 or 287 B.C. he followed Theophrastus as the head of the Peripatetic School established by Aristotle.
In his book, Repcheck recounts how a Catholic Church cleric invented a highly complicated theory of the heavens’ architecture. Copernicus made a breakthrough by solving a significant astronomical problem. Everybody except the astronomers had earlier accepted Aristotle’s concept that heavenly objects revolved around the earth in perfectly circular orbits. The astronomers were opposed to this notion since their calculations could not work according to it. Repcheck introduces Ptolemy who described a cosmos in which the earth positioned itself somewhat off-center and other heavenly bodies revolved in one circular orbit inside a second ideal circle at changeable speeds. Even though Ptolemy’s model was rather complicated, astronomers found it to be reasonable in their calculations. Astronomers were still using this new concept even 1500 years later. In this regard, the author starts to bring Copernicus into the picture.
Astronomy is a very important field in science. Ancient Greece, China, and India all contributed to our everyday ideas and uses of astronomy. Ancient Greece was the most influential because the Indian’s based most of their astronomy off of Greece. The Greeks created calendars that were based off of the eclipse cycle, which they called by two different names, Hellenic Calendars and Lunisolar Calendars. Because of Ancient Greece, we now have calendars to keep us on track every day. The Greeks observed a celestial object passing through the eastern and western morning sky. After a long time of observations, they came to a realization that it was a planet and now that is the planet is well known as Venus. (Sarton, 75) Plato and Aristotle’s theories were incredible contributions on us today. Both of their theories were all about the behavior and life of the planets, such as their theory that the earth is spherical. (Sarton, 421). Ancient Greece als...
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.
He also used evidence based on observation. If the earth were not spherical, lunar eclipses would not show segments with a curved outline. Furthermore, when one travels northward or southward, one does not see the same stars at night, nor do they occupy the same positions in the sky. (De Caelo, Book II, chapter 14) That the celestial bodies must also be spherical in shape, can be determined by observation. In the case of the stars, Aristotle argued that they would have to be spherical, as this shape, which is the most perfect, allows them to retain their positions. (De Caelo, Book II, chapter 11) By Aristotle's time, Empedocles' view that there are four basic elements - earth, air, fire and water - had been generally accepted. Aristotle, however, in addition to this, postulated a fifth element called aether, which he believed to be the main constituent of the celestial bodies.
Democritus was the leader of a group called Atomists. Although they were unable to prove that matter was made up of small particles, they were the first to come up with the idea. Democritus believed that atoms differed in size, shape, and movement but were all made of the same substances. Aristotle was the most important scientific philosopher in Greece. He believed that all matter on earth consisted of four pure substances or elements, which were earth, air, fire, and water. He also believed that the earth was the centre of the universe, and that anything beyond the earth consisted of a fifth pure substance called quintessence. Archimedes was an inventor and mathematician, who discovered several basic scientific principles and developed a number of measuring techniques. Ptolemy was an Egyptian astronomer. He developed a model for predicting the positions of the sun, moon, stars, and planets. Like Aristotle, he believed that the earth was the center of the universe. Between 400 AD. and 1000 AD.
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.
Euclid, also known as Euclid of Alexandria, lived from 323-283 BC. He was a famous Greek mathematician, often referred to as the ‘Father of Geometry”. The dates of his existence were so long ago that the date and place of Euclid’s birth and the date and circumstances of his death are unknown, and only is roughly estimated in proximity to figures mentioned in references around the world. Alexandria was a broad teacher that taught lessons across the world. He taught at Alexandria in Egypt. Euclid’s most well-known work is his treatise on geometry: The Elements. His Elements is one of the most influential works in the history of mathematics, serving as the source textbook for teaching mathematics on different grade levels. His geometry work was used especially from the time of publication until the late 19th and early 20th century Euclid reasoned the principles of what is now called Euclidean geometry, which came from a small set of axioms on the Elements. Euclid was also famous for writing books using the topic on perspective, conic sections, spherical geometry, number theory, and rigor.