math iii final project

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CONICS
APPLICATIONS
PROJECT
ALANA GONZÁLEZ A01194600
YOLANDA ISLAS A01194500
INTRODUCTION
For this project we took pictures of things that we see every day
that may represent a shape in a conic section.
Us humans don’t know that circles, parabolas, hyperbolas and
ellipses surrounds us everywhere. They can be found in almost
anything.
Conics can also be found in shadows by the shape they form.
Also in many buildings, architecture, etc.
For math, every conic has a different equation where you can
find many points and lines in it, for example: center, radius, focus,
etc.
CIRCLES
A frying pan is a utensil we use every
day for cooking. I took this picture in
my kitchen.
We chose the frying pan because It
has a circular shape. The red line
represents the shape.
The London Eye is a famous fortune
wheel located in London, England. It
is famous for its height and like all
other fortune wheels it has a circular
shape, that is why we chose this
famous building. The red line
represents the shape.
HYPERBOLAS
This photo shows a leg of a piano.
Pianos are common in our daily life
specially for people who like
music. If you see clearly you can
identify the hyperbolic shape. It is
a horizontal hyperbola. (Red
highlight)
This picture shows the Cathedral of
Brasília. It is famous for its
architecture and its shape. We
chose this building because It has
a hyperbolic shape and is a very
good example. (Red Highlight)
PARABOLAS
This photo shows the back of a
picture frame. In our daily life,
picture frames can be found
anywhere. We chose it because It
has a shape of a parabola. This
parabola is facing down. The red
highlight shows its shape.
This is a picture of Barcelona’s Arc
of Triumph. It has an arch shape
on the middle making it look like a
parabola facing down. It is a very
famous and touristic monument.
The red line shows the shape of
the parabola.
ELLIPSES
This is a picture of a handle of
a box. It has an ellipse shape.
It is a horizontal ellipse and
has an eccentricity close to 1.
The red highlight shows the
horizontal ellipse
The “Tycho Brahe
Planetarium” is located
in Copenhagen,
Denmark. It is a famous
building specialized in
astronomy. It has an
elliptical shape and the
red highlight shows it.
FINAL CONCLUSION
For this project we learned how to identify conic
shapes in common things like picture frames,
box handles, a piano, pan, etc. We also
identified conic shapes in recognized buildings
such as the fortune wheel in London, a Cathedral
in Brasília, the Arch of Triumph and more.
Circles, parabolas, hyperbolas and ellipses
shapes have many uses in our life such as for
navigation, light beams, parabolic mirrors and
many more.
REFERENCES
"Cathedral of Brasília." OpenBuildings. N.p., n.d. Web. 20 Nov. 2015.
"Uses of Conic Sections." Uses of Conic Sections. N.p., n.d. Web. 20
Nov. 2015.
"About the Planetarium." About the Planetarium. N.p., n.d. Web. 20
Nov. 2015.
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