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Browse College Coordinate Plane Geometry

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Barycentric Calculus [01/06/1999]

How does barycentric calculus compare with trilinear or cartesian calculus?

Coordinate/Analytic Geometry and the Pythagorean Theorem [6/8/1996]

Is it possible to use the methods of coordinate geometry for proving Pythagoras' theorem?

Degrees of Freedom [12/17/2002]

What is meant by 'degrees of freedom'?

Finding Area Using a Determinant [05/25/2007]

Given two vectors defining a parallelogram, the area can be found using the determinant of the 2x2 matrix representing those vectors. I can't figure out why that works. Can you explain it?

Find the Bearing [01/17/2003]

Is there a formula to find the bearing of one point from another on a 2D map (or graph) just using normal co-ordinate systems?

The Jumping Frog of Coordinate County [11/03/2009]

A frog starts at (0,0) and always jumps a distance of exactly 1 unit to a point with rational coordinates. Show that it is possible for the frog to reach the point (1/5,1/17) and not to reach (0,1/4).

Overlapping Polygons [06/10/2003]

Given all the coordinates for two different polygons in an x,y plane, how can I determine whether the polygons overlap?

Points within a Given Distance on a Sphere [07/25/2004]

I have a table of US cities with the latitude and longitude of each. I need to be able to find all cities that are within a given distance of a given city. I can have the computer compare each city to the given city individually, but that's tedious. Is there a faster way to do it?

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