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a plane curve such that the sums of the distances of each point in its periphery from two fixed points, the foci, are equal. It is a conic section formed by the intersection of a right circular cone by a plane that cuts the axis and the surface of the cone. Typical equation: ( x 2 / a 2 ) + ( y 2 / b 2 ) = 1. If a = b the ellipse is a circle.

TRANSCRIPT

FORMATION OF ELLIPSE

JAWAHAR NAVODAYA VIDYALAYA, Mahasamund

MATHMATICS PROJECT

FORMATION OF ELLIPSE

GUIDED BY Mr. kkpatel

PRESENTED BY Ma. Shivraj CLASS 11TH

ACKNOWLEDGEMENTI am heartily thankful to principal madam Smt.Manju ji. for giving me an opportunity to present a exhibit for cluster level exhibition at JNV Durg (2008). I am also thankful to Shri K. K. Patel sir, for their guidance and moral support. I am also vary thankful to my ACKNOWLEDGEMENT friends.

AIMSTo construct an ellipse for making the study of ellipse

more interesting. To understand the concept of Conic section more effectively. By this working model we can also make the sundial.

Performing of Circle & Ellipse from cones:(1)Circle

(2)Ellipse

Performing of parabola from cones:

Parabola

The performing of Hyperbola from cones:

Hyperbola

Parts of conic section

FORMATION OF ELLIPSE

ECCENTRICITY

ELLIPSES lH M -----------------------

Y S B---

L P(x,y )------------------

E

-

------------------------

M Z X

Z

A

F

O

E

N A F P

B

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