3. Geometry is a part of mathematics concerned with questions of size, shape, and
relative position of figures and with properties of space. Geometry is one of the oldest
sciences.
4. LETS LOOK AT SOME
EXAMPLES OF BASIC
GEOMETRY IN DAILY LIFE.
5. SEGMENT
A segment is A pArt
of A line
consisting of two
endpoints,
And All points
between them
11. Geometry being used in :
(a) Computer graphics is based on geometry - how
images are transformed when viewed in various ways.
Graphics used in Mirror’s Edge, the videogame.
12. Geometry being used in :
(b) Computer-aided design , computer-aided geometric design. Representing shapes in computers,
and using these descriptions to create images, to instruct people or machines to build the shapes, etc. (e.g.
the hood of a car, the overlay of parts in a building construction, even parts of computer animation).
Graphics used for industrial purposes.
13. Geometry being used in :
(c) Robotics. Robotic vision, planning how to grasp a shape with a robot arm, or how to move a
large shape without collision.
A Korean Robot, D2E.
14. Geometry being used in :
(d) Medical imaging - how to reconstruct the shape of a tumor from CAT scans, and other
medical measurements. Lots of new geometry and other math was (and still is being) developed for
this.
CAT Scan Chamber.
15. Geometry being used in :
(e) Structural engineering . What shapes are rigid or flexible, how they respond to forces and
stresses. Statics (resolution of forces) is essentially geometry. This goes over into all levels of design,
form, and function of many things.
Rigid Buckminster Structure.
16. Geometry being used in :
(f) Protein modeling. Much of the function of a protein is determined by its shape and how the pieces
move. Mad Cow Disease is caused by the introduction of a 'shape' into the brain (a shape carried by a protein).
Many drugs are designed to change the shape or motions of a protein - something that we are just now working
to model, even approximately, in computers, using geometry and related areas (combinatorics, topology).
Protein Structure.
17. Geometry being used in :
(g) Physics, chemistry, biology , .... . Symmetry is a central concept of many studies in science - and
also the central concept of modern studies of geometry. Students struggle in university science if they are not
able to detect symmetries of an object (molecule in stereo chemistry, systems of laws in physics, ... ). the study
of transformations and related symmetries has been, since 1870s the defining characteristic of geometric studies.
Symmetry of a Leaf.
18. Geometry is used everywhere. Everywhere in the world there is
geometry, mostly made by man. Most man made structures today
are in a form of Geometric. How, you ask? Well some examples
would the a CD, that is a 3-D circle and the case would be a
rectangular prism. Buildings, cars, rockets, planes, maps are all
great examples.
Here's some examples on how the world uses Geometry in
buildings and structure…..
19. 1. This a pictures with some basic
geometric structures. This is a
modern reconstruction of the
English Wigwam. As you can
there the door way is a
rectangle, and the wooden
panels on the side of the house
are made up of planes and
lines. Except for really planes
can go on forever. The panels
are also shaped in the shape of
squares. The house itself is half
a cylinder.
20. 2. Here is another modern
reconstruction if of a English
Wigwam. This house is much
similar to the one before. It used
a rectangle as a doorway, which
is marked with the right angles.
The house was made with sticks
which was straight lines at one
point. With the sticks in place
they form squares when they
intercepts. This English
Wigwam is also half a cylinder.
21. 3. This is a modern day
skyscraper at MIT. The
openings and windows are all
made up of parallelograms.
Much of them are rectangles
and squares. This is a
parallelogram kind of building.
22. 4. This is the Hancock Tower, in
Chicago. With this image, we
can show you more 3D shapes.
As you can see the tower is
formed by a large cube. The
windows are parallelogram.
The other structure is made up
of a cone. There is a point at the
top where all the sides meet, and
There is a base for it also which
makes it a cone.
23. 5. This is another building at
MIT. this building is made up
of cubes, squares and a sphere.
The cube is the main building
and the squares are the
windows. The doorways are
rectangle, like always. On this
building There is a structure on
the room that is made up of a
sphere.
24. 6. This is the Pyramids, in
Indianapolis. The pyramids
are made up of pyramids, of
course, and squares. There are
also many 3D geometric shapes
in these pyramids. The building
itself is made up of a pyramid,
the windows a made up of tinted
squares, and the borders of the
outside walls and windows are
made up of 3D geometric
shapes.
25. 7. This is a Chevrolet SSR
Roadster Pickup. This car is
built with geometry. The wheels
and lights are circles, the doors
are rectangular prisms, the
main area for a person to drive
and sit in it a half a sphere with
the sides chopped off which
makes it 1/4 of a sphere. If a
person would look very closely
the person would see a lot more
shapes in the car. Too many to
list.
