Essays on Geometry Page 2

Alexander Grothendieck Alexander Grothendieck is a prominent mathematician who is well known for his theories in algebraic geometry, homological algebra and functional analysis. He was born in the capital of Germany, Berlin, in 1928, one year before the Wall Street Crash of 1929. Grothendieck’s parents were Sascha Shapiro and Hanka Grothendieck. Shapiro was a Russian…

ASS Postulate Triangles are congruent if any pair of corresponding sides and their included angles are congruent in both triangles. AS Postulate Triangles are congruent if any two angles and their included is De are congruent in both triangles. Hype. Leg Theorem Two right triangles are congruent if the hypotenuse and o nee corresponding leg…

Most historians and mathematicians consider Archimedes of Syracuse as one of the greatest mathematicians of all time. His achievements in mathematics were outstanding. He contributed many theorems in geometry that have applications in other fields such as engineering, physics, and astronomy. One of which he is most famous for is his theorem that measures the…

Conic Sections             When a plane (also called as cutting plane) intersects with the nappes (one or both) of a double cone, a non-degenerated curve can be made and these curves are called conic sections. A conic section may take either of the following forms: a circle or an ellipse, a hyperbola or parabola, and…

Sebastian Trigonometry and astronomy Trigonometry is used everywhere in our lives, since the beginning of development in our civilisations, people have been researching about the three lengths that have mystified for centuries. Trigonometry can almost be seen everywhere. First of all though we need to know its international definition, trigonometry is a study of triangles…

To begin you must understand the Pythagoras theorem is an equation of a2 + b2 = c2. This simply means that the sum of the areas of the two squares formed along the two small sides of a right-angled triangle equals the area of the square formed along the longest. Let a, b, and c…

Uniform circular motion is the movement of an object or particle trajectory at a constant speed around a circle with a fixed radius. The fixed radius, r, is the position of an object in uniform or circular motion relative to to the center of the circle. The length of the position vector of the circle…

History: The Cartesian coordinate system is named after Rene Descartes(1596-1650), the noted French mathematician and philosopher, who was among the first to describe its properties. However, historical evidence shows that Pierre de Fermat (1601-1665), also a French mathematician and scholar, did more to develop the Cartesian system than did Descartes. The development of the Cartesian…

Kinematics Description of MotionAccording to a website from Zonaland, Kinematics is defined as the science of motion. Motion explains how things move. For better understanding, it is good to have a brief background on how motion was studied by humans. In a website from gbp.org, Aristotle, a Greek Philosopher, had claimed that all object fall…

Introduction This lab was completed to investigate and map the magnetic field pattern of a single straight conductor by comparing it with the earth’s magnetic field. Quantitatively, the purpose of this lab was to determine the horizontal component of the earth’s magnetic field. Magnetic field and electric currents are naturally closely related because anytime a…