# loci

Mind Map by , created almost 6 years ago

## GCSE Form 3 michaelmas (Maths) Mind Map on loci, created by emz and mylo on 11/15/2013.

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 Created by emz and mylo almost 6 years ago
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Maths
loci
1 equidistant from two points
1.1 a ship sails along equidistant from two lighthouses a and b
1.1.1 what is the locus of the ship?
1.1.1.1 a straight line!
1.1.1.1.1 this line is at right angles to the line ab
1.1.1.1.1.1 it is called the perpendicular bisector
2 equidistant from a point
2.1 a golfer hits a ball 2 meters away from a hole.
2.1.1 if every place he could hit the ball is marked what shape does it make?
2.1.1.1 CIRCLE!
2.2 the locus of points equidistant from a fixed point is a circle.
3 equidistant from two lines
3.1 a golfer hits a ball and to be a perfect shot it has to land so it is the same distance between two lines
3.1.1 to do this it is a straight line.
3.1.1.1 this line is called the angle bisector
4 loous of a square
4.1 do points 1cm away from the perimeter
4.1.1 the outside locus is curved around the corners.
4.1.1.1 the inside locus is another square