Unknown Story
Storyboard Text
- Hmm? How can I figure out the coordinates for where this fly is on the celing?
- I know!
- Imagine the ceiling as a rectangle drawn on a piece of paper: taking the left bottom corner as the reference point, you can specify the location of the fly by measuring how far you need to go in the horizontal direction and how far you need to go in the vertical direction to get to it. These two number are the fly's coordinates. Every pair of coordinates specifies a unique point on the ceiling and every point on the ceiling comes with a unique pair of coordinates. It's possible to extend this idea, allowing the axes (the two sides of the room) to become infinitely long in both directions, and using negative numbers to label the bottom part of the vertical axis and the left part of the horizontal axis. That way you can specify all points on an infinite plane.Descartes' coordinate system created a link between algebra and geometry. Geometric shapes, such as circles, could now be described algebraically using the coordinates of the points that make up the shapes. For example, a circle centred on the point with coordinates (0,0)(0,0) and of radius 22 is given by the equation.
Over 30 Million Storyboards Created