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Transcript

SATELLITE AND PLANET ORBITS

LOGOS

Kepler's first law of planetary motion is: The path of each planet is an ellipse with the sun at one focus.

Ellipses

can be

seen extensively

in logos.

Whispering Galleries -- in the Old House of Representatives

Statuary Hall in the U.S. Capital building is elliptic.

It was in this room that John Quincy Adams, while a member of the House of Representatives, discovered this acoustical phenomenon. He situated his desk at a focal point of the elliptical ceiling,

easily eavesdropping on the private conversations of other House members located near the other focal point.

Any sound made at the focus

will rebound of the elliptical ceiling

and pass through the other focus.

APPLICATIONS OF

ELLIPSE IN REAL-LIFE

Pamilya Matapat

When you look in

perpendicular to the piece

you can see that it is circular

but as it rotates you see that

it becomes elliptical.

ELLIPTICAL POOL TABLE

FOOTBALL

This is also evident when looking in

at the top of your cup of tea

or when looking at the top

of any cylindrical object.

If an ellipse is rotated about

the major axis, you obtain a football.

The elliptical billiards table uses

the same principle as the

whispering gallery.

When a ball passes over the other

focal point, regardless of which point

on the ellipse it bounces off,

it will always pass over the

other focal point.

The pocket is positioned at one of the focal points.

ASV2017

acknowledgements

  • http://www.pleacher.com/mp/mlessons/calculus/appellip.html
  • http://www3.ul.ie/~rynnet/swconics/applications_of_conic_sections.htm
  • http://www.purposive.com/60-oval-logo-designs/
  • http://www.carlogos.org/Car-Logos/Ford-logo.html
  • https://design.tutsplus.com/tutorials/holy-vector-tutorial-create-a-retro-batman-logo-in-adobe-illustrator--vector-11338

PAMILYA MATAPAT

Researchers:

  • Jezze Paladin
  • Dominique Mateo

Gracias

Merci

Grazie

Arigatou

THANK YOU!

Salamat

Danke

Do je

Xie xie

Reporters:

  • Athena Rabina
  • Abegail Villaverde
  • Rhinoa Kyle Narreto
  • Jonelle Joy Cayona
  • Michael Zeta
  • Dominick Segundo
  • Jeanne Paulo De Jesus

PAMILYA MATAPAT

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