HIDDEN WORLD OF PARABOLAS

ŞAHİN ŞEN GIRLS ANATOLIAN IMAM HATIP HIGH SCHOOL PROJECT TEAM

HIDDEN WORLD OF PARABOLAS

HIDDEN WORLD OF PARABOLAS

Menaechmus (380 BC - 320 BC) found the parabola

Newton (1638 - 1675) studied properties of the parabola

Galileo (1564 - 1642) saw the objects falling due to the gravity due so in parabolic paths

Pappus (290 - 350) found the focus and directrix of the parabola

Apollonius (262 BC - 190 BC) named the parabola

HISTORY OF PARABOLAS

CONIC SECTIONS PARABOLA İS A CONIC SECTION

Conic sections are generated by the intersection of a plan with a cone.By changing the angle and location of intersection, we can produce a circle, ellipse, parabola or hyperbola; or in the special case when the plane touches the vertex: a point, line or 2 intersecting lines.

A parabola is a curve where any point is at an equal distance from: a fixed point and a fixed straight line.

GEOMETRIC DEFINITON OF PARABOLA

DEFINITON OF PARABOLA

Graphs of quadratic functions all have the same shape which we call "parabola."Equation :y=ax^2+bx+c

ALGEBRAIC DEFINITON OF PARABOLA

GRAPH OF PARABOLA

GRAPH OF PARABOLA

GRAPH OF PARABOLA

PARABOLA IS EVERYWHERE

THE BRIDGE

ARCHITECTURE

THE REFLECT SOUND

ARCHITECTURE

BRIDGE CONSTRUCTIONS

IN SPORT

Flashlight

Telescopes

Microscopes

Headlights

REFLECT SOUND

The rays coming to the axis of symmetry are collected at the focal point. The rays coming out of focus reflect parallel to the symmetry center and scatter the light

SATELLITE AND SPACECRAFT COMMUNICATION

IN NATURE

IN THE FAMOUS PAINTINGS

PARABOLA IS EVERYWHERE

The Rainbow is not a parabola. It is part of a circle. The Rainbow is seen at all points where the angle between the sunlight ( light directly from the sun) and the refractured light to your eyes have a fixed angle. 40° an 42°.These Points are part of a circle. In most cases the earth is in the way so you only can see part of the circle. In rare cases we can see the whole circle.

Does a rainbow have a shape of parabola?

IS IT PARABOLA OR IT ISN'T?

The catenary curve has a U-like shape, superficially similar in appearance to a parabolic arch, but it is not a parabola.Equation of catenary:

IS IT PARABOLA OR IT ISN'T?

PARABOLA &ART

You can see the work when you click the picture.

PARABOLA&3D

ELLIPTIC PARABOLOID

CLICK THE PICTURE

HYPERBOLICPARABOLOID

CLICK THE PICTURE

team

Pınar Aslan

Teacher

Halime A.

Student

Fatmanur F.

Student

Sude Y.

Student

Şahin Şen Girls Anatolian Imam Hatip High School

MANİSA/TURKEY

thanks!