Conic section

The Scientific Revolution Some people consider the development of science the most important event in all history. This all started in 1543 when the Scientific Revolution began after the Reformation. The Scientific Revolution led to the birth of modern day science. Scientists started by observing the world around them. By observing the world, scientists began to identify facts about it. Aristotle, a Greek philosopher, studied many things but his greatest contribution to science was the idea…

reflective properties of lens and mirrors based on various conic sections and substantially developed the Johannes Kepler’s theory of the telescope. In 1663, he visited The Hague and Paris before settling in Padua, Italy, to study geometry, mechanics, and astronomy. While in Italy in he wrote Vera Circuli et Hyperbola Quadratura in 1667. He used a modification of the method of exhaustion of Archimedes to find the areas of the circle and sections of hyperbola. In his construction of an infinite…

Demetriadou 105). The Greek syllabus in 1857 for mathematics included plane geometry (angles, lines, circles) and space geometry (solids, area, volume) (Gagatsis, Demetriadou 105). They also included analytic geometry which is “the study of conic sections (Panagiotou 80).” These pupils comprehended terms like “ellipse, parabola, and hyperbola (Panagiotou 80).” Those terms Greek professors expected their students to understand in order for them to grasp the rest of the topics they were going…

outstanding achievements. Gauss declared to have stumbled upon the possibility of non-Euclidean geometries but never published it. Carl showed an interest in astronomy as well, he came up with (The theory of motion of the celestial bodies moving in conic sections around the Sun) was based on the discovery of Celes. Gauss joined the Royal Netherlands Academy of Arts and Science in 1851 as a foreign member. In the early 1800's he was regarded with great respect by the French Academy of Science in…

At a time when religion dominated the historical landscape and was influential in every aspect of human life and determining the course of empires, the mathematician Hypatia chose to pursue and establish some fundamental philosophical and mathematical principles that govern a major part of human existence. She was responsible for many of the world’s greatest discoveries, which were obscured and hidden by the victorious agents throughout history until relatively recently when they were proved to…

“If mathematics is a male domain, where does this leave women who do mathematics?” (Solomon 1) For a long time, women have struggled to gain complete acceptance in the mathematics field. “Mathematics is seen as a male-dominated field and it has been an uphill battle for women trying to break into the field” (Solomon 172). Despite this, there have been several women throughout history who have made significant contributions to and impacts in the field of mathematics. The purpose of this paper is…

texts by (1) referring to what is explicitly stated and (2) reasoning to determine implicit meanings. Pace yourself- The ACT reading test contains 40 questions to be completed in 35 minutes. If you spend 2-3 minutes reading the passage(s) in each section, then you will have about 35 seconds to answer each question. Content covered by the ACT Reading Test The reading test is based on four types of reading selections : the social studies, the natural sciences, literary narrative, and the…

Hence the equation of the orbit can be written as (Equation 5a). r=p/(1+e cos⁡〖(∝-∝_o 〗)) (1.11b) where p = A^2/β (1.11c) and e=A^2/β B = p B (1.11d) Equation (1.11d) is the polar equation of a conic section with ρ as the latur-rectum and e the eccentricity, with M as the focus, and the orbit of m being: (i) a circle with radius p for e=0 (ii) an ellipse for e<1 (iii) a parabola for e=1 (iv) a hyperbola for e>1 The cases of circular…

Introduction The Venera Soviet missions consisted of several space probes sent to Venus (University of Oregon). Venera 13 and 14 were part of the 1981 Venus launch opportunity (University of Oregon). Venera 13 and 14 were built identically the same and they launched 5 days apart (Ivankov, NASA Archive). Venera 14 was the last lander within the Venera series. The Soviet Academy of Sciences (U.S.S.R) funded the Venera 14 mission (Ivankov, NASA Archive). The launch site was located at Tyuratam…

Even Though It was only the 16th century, Blaise Pascal and Isaac Newton changed the way we see the world today in regards to mathematics and science. They turned their ideas and thoughts into realities, to help fully develop and advance themselves years ahead of their time period. The mindset of these thinkers helped them to develop some of the most elaborate theories and ideas. Isaac Newton was Instrumental in the scientific revolution of the mid-1600-1700. Along with Pascal, whose…