Contents:
The Locus Of Points: is a line that shows all the points from one of the rules below.
(i) The Locus of points which are a fixed distance from a given point, would be a circle.
(ii) The Locus of points which are a fixed distance from a given line, would be an oval type shape.
(iii) The Locus of points that are equidistant from two given points A and B below, would be a perpendicular straight line.
All the points along the straight line are equidistant from A and B.
Let each point be the centre of a circle, the distance from A to B the radii. Draw circles note the intersections. Draw a line connecting the intersections, this line is equidistant.
Note: Draw a line connecting A to B, this line is perpendicular to the line connecting the intersections.
(iv) The locus of points that are equidistant from two given lines X and Y, would be a straight line bisecting the angle of the lines.
Using a fixed radius start where the lines meet draw an arc that intersects both lines. from these new points 2nd and 3rd, draw arcs that intersect with each other.
Connect this new point to the 1st point for the equidistant line. The angle between the two lines is now halved.
Constructing Accurate Angles: accurate angles can be achieved with just a compass and a ruler. The radius of all the circles have to be the same.
Draw the first circle at the end of the line.
Draw the second circle with the centre at the point where the first circle intersects the straight line.
Where both circles intersect with each other a line drawn from the first point will be exactly 60
.
Constructing an accurate 90
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