Essays on Geometry

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…

Elliptic geometry (sometimes known as Riemannian geometry) is a non-Euclidean geometry, in which, given a line L and a point p outside L, there exists no line parallel to L passing through p. Elliptic geometry, like hyperbolic geometry, violates Euclid’s parallel postulate, which asserts that there is exactly one line parallel to L passing through…

In this essay I will be explaining the differences between a rhombus, rectangle, and a square. Next, I will be explaining each quadrilateral and also using the definitions that go along with each quadrilateral. Then, I will be describing how the three quadrilaterals have the same and different characteristics. In a rhombus, opposite sides congruent,…

The problem Suppose you have a disk with more than 1024 cylinders. Suppose moreover thatyou have an operating system that uses the BIOS. Then you have a problem,because the usual INT13 BIOS interface to disk I/O uses a 10-bit field for thecylinder on which the I/O is done, so that cylinders 1024 and past areinaccessible….

Non-Euclidean geometry is any form of geometry that is based on axioms, or postulates, different from those of Euclidean geometry. These geometries were developed by mathematicians to find a way to prove Euclid’s fifth postulate as a theorem using his other four postulates. They were not accepted until around the nineteenth century. These geometries are…

Quick and Dirty Mohr’s Circle Solution for the Strain Gauge Rosette A 3 gauge rosette is attached to a simple tension bar. The three gauges of the rosette are at 45 degrees in relation to each other but the rosette is not aligned with the strap. The strap is 1. 00 inches wide and 0….

The two edges around the checking are equal in length. I need to work out the length of the edges and the area of the decking, how much materials required and cost. In the 1st triangle marked A, I need to work out the length the opposite side of the triangle with the angle 690….

A parabola is a planar. mirror-symmetrical curve. which is about U-shaped when oriented as shown in the diagram. but which can be in any orientation in its plane. It fits any of several superficially different mathematical descriptions which can all be proved to specify curves of precisely the same form. One description of a parabola…