This presentation provides an overview of conic sections including the parabola, ellipse, and hyperbola. It begins with an introduction defining conic sections as curves formed by the intersection of a plane and a right circular cone. The three basic types of conic sections - parabola, ellipse, and hyperbola - are then defined. Examples of applications are given for each type of conic section, including using parabolas for cannon aiming in medieval times, elliptical orbits of planets, and the hyperbolic shape of guitar bodies.

1. MULTIVARIABLE CALCULUS
A PRESENTATION ON CONIC SECTIONS

2. TODAY
AGENDA
Introduction
Basic Types
Parabola
Ellipse
Hyperbola

3. INTRODUCTION
In Geometry, the conic section, also known
as conic, is a curve that is formed by the
intersection of a plane and a right circular
cone. Conic sections received their name
because each conic section is represented by
a conic section of a plane cutting through
cones.

4. TYPES OF CONIC SECTION
HYPERBOLA PARABOLA ELLIPSE
A hyperbola is an open curve with
two branches, the intersection of a
plane with both halves of a double
cone.
A plane curve generated by a point
moving so that its distance from a fixed
point is equal to its distance from a
fixed line.
A closed curve consisting of points whose
distances from each of two fixed points
(foci) all add up to the same value is an
ellipse.

5. If a bulb is placed at the focus of a parabolic mirror,
the light rays reflect off the mirror parallel to each
other, making a focused beam of light.
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PARABOLA APPLICATION

6. PARABOLA APPLICATION
Parabola was used back in the medieval period
with the use of cannons and cannon balls. Armies
used parabolas to navigate the path of a cannon
ball to locate and attack the enemy.
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7. Dish antennas are constructed in the shape of the
parabolic geometric figure. The main advantage of utilizing
the parabola concept in designing an antenna is that the
directivity improves significantly.
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PARABOLA APPLICATION

8. ELLIPSE APPLICATION
The Shape of Footballs and Some fruits like water
melon & grapes Are Elliptic.
1

9. 2
The ellipse is found in the rotation of
planets in solar system. All planets orbit
around the sun creates ellipse
ELLIPSE APPLICATION

10. 3
Your eyes is an ellipse!
ELLIPSE APPLICATION

11. HYPERBOLA APPLICATION
1
Gear Transmission having pair of hyperbolic
gears. It is with skewed axles and hourglass
shape giving hyperbola shape. Those
hyperbolic gears transmit motion to axles.

12. 2
The body of a traditional stringed guitar is a
good example of a hyperbola. The body is
convexed towards its center on both sides,
giving it a unique stance.
HYPERBOLA APPLICATION

13. 3
Some versions of the latest PC monitors and
also some televisions came with curved
monitors. This adaptation makes the user’s eyes
effortlessly discern details on the screen
compared to flat monitors.
HYPERBOLA APPLICATION

14. THANK YOU