Essays on Geometry

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…

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…

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…

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 [1-3], finding exact solutions of NLEEs is one of the hot topics in this field….

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…

Drop an ant and an elephant from the Eiffel Tower. The ant lands softly and survives. The elephant goes splat and ruins the day of any nearby tourists. An ant can lift a multiple of its own weight. An elephant can lift only a fraction…