Download Presentation
Why Do We Use Coordinate Geometry?

Loading in 2 Seconds...

1 / 13

# Why Do We Use Coordinate Geometry - PowerPoint PPT Presentation

Why Do We Use Coordinate Geometry?. Euclid’s Elements (about 300 B.C.). http://www.claymath.org/euclid/. Euclidean Geometry. Euclid was a Greek philosopher (c. 330 BC to 275 BC) Euclidean geometry analyses shapes like points, lines, and circles

I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
Download Presentation

## PowerPoint Slideshow about 'Why Do We Use Coordinate Geometry' - eugenia

An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.

- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript

### Why Do We Use Coordinate Geometry?

Euclid’s Elements (about 300 B.C.)

http://www.claymath.org/euclid/

Euclidean Geometry
• Euclid was a Greek philosopher(c. 330 BC to 275 BC)
• Euclidean geometry analyses shapes like points, lines, and circles
• These figures are described relative to one another
• There are no absolute locations (coordinates) and no algebra
René Descartes
• René Descartes (1596-1650) was a French philosopher, mathematician, scientist, and writer
• Called “The Founder of Modern Philosophy”
• Also called “The Father of Modern Mathematics”
Cartesian Coordinates

Descartes used algebra to describe points, lines, and circles geometrically using a coordinate system

Descartes and Calculus
• Isaac Newton’s (1643-1727) invention of the calculusdepended on Cartesian coordinates
• Calculus is basically the description of change
• Example: For this parabola y = x2, the slope of the tangent line at any point P is y = 2x

y = x2

Implications of Newton
• Descartes’, Newton, and others thought that the universe could be completely described with mathematics
• All are but parts of one stupendous whole,Whose body Nature is, and God the soulAlexander Pope (1688-1744)
The Clockwork Universe Theory
• Supposed that God originally created the world by putting matter into motion according to certain laws
• Time took care of the rest
• Everything was matter in motion

http://zebu.uoregon.edu/2003/hum399/lec10.html

A Broken Clock
• The Clockwork Universe unraveled in the 20th century
• The theory of quantum physics says that the universe consist of particles that behave statistically like dice, not predictably like a clock
Computer Models Use Coordinate Geometry
• Computer models are widely used in
• engineering
• computer games
• computer music
• astrophysics
Math Heros
• What’s a hero?
• What’s a math hero?

©Jen Sorensen

Math Heros
• Dr. Albert Einstein(1879 - 1955)
• Dr. Stephen Hawking(1942 - )
• Professor Lee Lorch(1915 – present )
Professor Lee Lorch
• Took real risks helping African American women get their PhD’s in mathematics during the 1950’s and 1960’s
• Not a famous mathematician

..at 91, this gentle scholar can recall every racist rule he ever tackled: the "No-Negroes" housing complex where he pushed to have blacks made welcome; the all-white math conferences to which he insisted on bringing black professors; the all-black grade school where he tried to enroll his daughter….These fights lost him a string of jobs and in time got him blacklisted altogether for the "un-American" activity of championing racial equality, driving him to leave his homeland for Canada where he was in fierce demand as a math whiz.

The Toronto Star, Jan 15, 2007