Ellipse

conducted by using the formulas of x-y=a and x^2-y^2=(x-y) +b, which were referred to as simultaneous pairs. Most of her well known contributions to math were revisions to the work of her male cohorts. Three of her heavily appraised corrections and commentaries were to that of: Ptolemy’s “Almagest”, Apollonius’ review of Conics, and her father Theon’s lessons of the “Euclid Elements”. She even revised her commentary of “The Arithmetica” conducted by Diophantus. Out of all her revisions, her most accredited one deals with her review of Conic sections. “In geometry, a conic section is the curve created when one cuts through a cone with a flat plane” (decodedscience.org). Hypatia’s work also helped form the concepts of parabolas, hyperbolas and ellipses. She assisted her father Theon in the 11-part commentaries he made towards the Almagest. The Almagest served as a treatise for astronomy and mathematics. In the Almagest, the universe was depicted as being geocentric (the idea that the Earth is centered at the center of the universe and all other celestial bodies orbit around its axis). This idea would not be corrected until Nicolas Copernicus came up with the heliocentric model of the universe (the idea that the sun is the center of the universe and the planets go through revolutions and rotations around it). Hypatia was recognized as a “poster-women” for astronomy and mathematics (though she also made waves in the areas of literature and rhetoric) at a point in time where…

The story of Hypatia is what led her to her upcoming and how she made an impact to society. Her father Theon of Alexandria, Plato, Aristotle, and Plotinus influenced her in like and learning to love and have a passion for mathematics and everything that came with it. In her time of A.D she was the only woman who made a big difference. Hypatia was a popular teacher of interesting topics. She drew attention to herself by being phenomenal at what she did. Her words embraced others as much as…

Hypatia of Alexandria Tristiana Johnson Late Antiquity Professor Teeter March 13, 2015 Hypatia was born in the 4th century, somewhere around 350AD 1 in the then Greek state of Egypt (Williams, 1997). She was the daughter of Theon Alexandricus, a respected Philosopher in his right. Though she is often credited with being the first female mathematician, she is in fact the third. She is however, the first female mathematical that we have detailed and documented information about.…

Hypatia is the first female mathematician whose life was well recorded. She was a Hellenistic Neoplatonist philosopher, astronomer, and mathematician. Hypatia was born about 350 to 370 AD in Alexandria, Egypt. She was the daughter of Theon of Alexandria who was a mathematician and philosopher. Her father guided and instructed her in mathematics, philosophy, and astronomy. He trained her in the art of rhetoric, made her read classical literature and made her exercise which included he running,…

motion. Kepler's laws opened the way for the development of celestial mechanics, i.e., the application of the laws of physics to the motions of heavenly bodies. His work shows the hallmarks of great scientific theories: simplicity and universality. I.1) The law of ellipse Kepler's first law sometimes referred to as the law of ellipses–says that:…

With the help of Tycho Brahe's observations, Kepler discovered that the orbits of the planets can be described with a curve. By trial and error, he discovered that an ellipse with the sun could accurately describe the path of a planet about the sun. Ellipses (which does not look like the usual circle, but as an egg) is described mainly by the length of its two axes. A circle has the same diameter if we measure it across or up and down. However, an ellipse has diameters of different lengths. The…

The three stages are the three orbits that a satellite or spacecraft must go through: The initial circular orbit, the elliptical Hohmann Transfer orbit, and the final circular orbit. The elliptical orbit is incidentally what results in a change in velocity of the spacecraft, because the elliptical transfer orbit is closer to the Sun at the end with Earth’s than it is at the end with the Mars orbit - it will have a larger velocity near Earth than it will near Mars. The end of the ellipse closest…

Greek mathematician-Apollonius of Perga On the early ages there were a group of people who questioned everything and wanted to find the reason for why it happened. Therefore this group of individuals created new solutions to find the answers to their questions and pass it on to the new generations. One of this individual was Apollonius of Perga who was known as one of the greatest Greek geometer and an astronomer.Apollonius was born in Perga in 262B.C.-190B.C. With all of his acknowledge…

gravitational pull has no influence either. The only object that exerts a substantial force of gravitational attraction with the spacecraft is the Sun. Because of this it is called the 2 Body Problem. It can be demonstrated using Newton’s Law of Gravitation that the orbit in a 2 Body Problem is a conic. What could be asked now is, what is the shape of the planets orbit? Kepler in its first law states that the orbit of the planets around the sun is an elliptical shape, with the centre of the…

statements that described the motion of planets in a sun-centered solar system. Kepler's efforts to explain the underlying reasons for such motions are no longer accepted; nonetheless, the actual laws themselves are still considered an accurate description of the motion of any planet and any satellite. Kepler's three laws of planetary motion can be described as follows: Kepler's first law - sometimes referred to as the law of ellipses - explains that planets are orbiting the sun in a path…