Essays on Geometry

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…

This essay will compare and contrast the rhombus, rectangle, and square. It will provide definitions for each quadrilateral and discuss their shared and unique characteristics. A rhombus is defined by its congruent opposite sides and angles, as well as supplementary consecutive angles. Additionally, its diagonals bisect each other. In contrast, a rectangle has congruent angles…

Non-Euclidean geometry is a set of geometric systems that utilize axioms or postulates that differ from those in Euclidean geometry. Mathematicians formulated these geometries to demonstrate Euclid’s fifth postulate as a theorem, while preserving his other four postulates. While non-Euclidean geometries were not widely embraced until the 19th century, they are founded on a curved…

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….

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 hyperbola is a set of points in a plane the difference of whose distance from two fixed points, called foci is constant. A hyperbola is a type of smooth curie, lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces,…

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…

A quadrilateral is a 2-dimensional closed shape with four straight sides. E.g. The shape ABCD shown here is a quadrilateral. A line segment drawn from one vertex of a quadrilateral to the opposite vertex is called a diagonal of the quadrilateral. AC is a diagonal of quadrilateral ABCD, so is BD. TYPES & PROPERTIES OF…

Introduction The paper focuses on the life and works of English Mathematician John Wallis, who is considered to be the most important and influential mathematician before Sir Isaac Newton. In addition to being a mathematician, he was considered as an eminent scientist in many fields such as divinity, due to his adopted profession as a…