Essays on Geometry

The interesting architecture of honeycombs has attracted the attention of people throughout history. This structure consisting of side by side hexagons is extremely sensitive and the average wall thickness is 0.1 mm. The deviation from this mean value is up to 0.002 mm. In order to understand the ideal of geometry rules in the construction of honeycombs, it is necessary to have a mathematical point of view. The circle is a geometric shape with the shortest side length surrounding a certain ...

Nonlinear evolution equations (NLEEs) have a widespread application in the field of mathematical physics and engineering such as fluid, plasma, nonlinear optics, marine science and so on. In soliton theory , finding exact solutions of NLEEs is one of the hot topics in this field. Many researchers are interested in study this topic. To obtain the exact solutions of NLEEs, there are many powerful and systematic approaches have been developed, such as the inverse scattering transformation , ...

The study consisted in the investigation on a prototype of hybrid turbine characterized by a geometry Darrieus with 4 fixed blades and a Savonius, positioned internally at the Darrenius, constituted by flexible wings which vary in their extension, reducing the extension at the increase of the angular velocity to wrap completely when the angular speed is such high to allow the wing profiles of Darreius to generate a positive torque. In order to characterize the hybrid turbine, the flow field ...

The "father of geometry", known as the Greek mathematician Euclid created a famous textbook about mathematical proofs and definitions called The Elements around 300 BC. This thirteen volume textbook was based on foundings from other mathematicians before him. Euclid's theories of basic geometry are simple and logical, and he solidified the foundation that no one could doubt his reasonings. He described his geometry based on actual and physical space. This differs from "non-euclidian" theories, ...

Geometry was invented by Euclid from the Plato Academy in 325-265 b.c. The way geometry got its name, is from the ancient greek words geo - meaning earth, and metron meaning measurement. He wrote geometry in a treatise which consisted of thirteen books. Each book represented a chapter. These books were titled The Elements of Geometry. They were known then as the ideal axiomatic form of Geometry whereas now they are known as Euclidean Geometry. Though Euclid did have some help from Pythagoras ...

The word geometry was pulled of the Greek words “geo” which means earth and “metry” which means measure. At the point when the old Greeks were the first to establish the investigation of geometric subjects into a proper arrangement of thought, humanity’s enthusiasm for geometry forerun the Greeks by numerous hundreds of years. Many scholars accepted that mathematics originated in the Orient (that is, in nations east of Greece) out of consideration for business, agriculture, architecture, and ...

Math has been strongly applicable to many people’s daily life for centuries. To a majority, math is considered a technical and developmental skill, where answers are to be considered functionally correct in order to be useful. When I think of math, I think about how humans are capable of solving the hardest numerical problems and how it applies to their work. We’ve grown from doing simple calculations into finding the motion of physical objects, figuring out time, and locating directions ...

Why do we have to learn math? How it is important in our daily life? What is calculus used for? All these questions a person can ask. Indeed, math is all around us. It is almost awkward to think of something that isn’t made without the benefit of mathematics. Where everything depend on numbers, sums, and measurements. Moreover, our life depend on algebra and geometry derived from Calculus. Luckily, architecture and calculus are linked together, where architecture do not give up on Calculus. ...

Because of the diversity of forms in which they manifest themselves, there is no commonly accepted definition of mathematics or poetry. Thus, the only reasonable definitions of poetry and mathematics are ambiguous, and are unrestricted in the ideas they can express and how these ideas are interpreted. Lynn Arthur Steen offers one possible ambiguous definition of mathematics: “the science of significant form”(Stewart 23). In a similar vein, we could say that poetry is “the language of ...