Geomerty

GEOMETRY

In

Our Life

The earliest recorded beginnings of geometry can be traced to ancient Mesopotamia and Egypt in the 2nd millennium BC. Early geometry was a collection of empirically discovered principles concerning lengths, angles, areas, and volumes, which were developed to meet some practical need in surveying, construction, astronomy, and various crafts.The earliest known texts on geometry are the Egyptian Rhind Papyrus (2000–1800 BC) and Moscow Papyrus (c. 1890 BC), the Babylonian clay tablets such as Plimpton 322 (1900 BC). For example, the Moscow Papyrus gives a formula for calculating the volume of a truncated pyramid, or frustum.

History Of Geometry

The theme of symmetry in geometry is nearly as old as the science of geometry

itself. Symmetric shapes such as the circle, regular polygons and platonic solids

 held deep significance for many ancient philosophers and were investigated in

detail before the time of Euclid. Symmetric patterns occur in nature and were

artistically rendered in a multitude of forms, including the graphics of M. C. Escher.

Nonetheless, it was not until the second half of 19th century that the unifying

role of symmetry in foundations of geometry was recognized. Felix Klein's 

Erlangen program proclaimed that, in a very precise sense, symmetry, expressed

via the notion of a transformation group, determines what geometry is.

Symmetry in classical Euclidean geometry is represented by congruences and

rigid motions, whereas in projective geometry an analogous role is played by 

collineations, geometric transformations that take straight lines into straight lines.

Symmetry

Geometry  is a branch

of mathematics concerned with questions of

shape, size, relative position of figures, and the

properties of space.

A mathematician who works in the field of

geometry is called a geometer. 

Arches are used to

withstand maximum

weight .

Structural designs

use to withstand

force of nature

Geometry in Architecture

Symmetry in Leaf

Geometry in Nature

Cycles are made using best geometry to give maximum efficiency .

Inclined Angle = 60 degree

Each Stair Angle = 90 degree

Thank you

By : Pranay Dutta