PPT on Geometry in our Daily life .....

2. 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
The earliest known texts on geometry and various crafts.
in surveying, construction, astronomy, 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.

3.  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.

4.  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.

5.  Arches are used to
withstand maximum
weight .
 Structural designs use
to withstand force of
nature

6. Symmetry in
Leaf

8. Inclined Angle = 60 degree
Each Stair Angle = 90 degree

9. By :Divyansh Sharma