Let
be a fixed point on the circle. For a variable point
on the circle, construct the point
so that angle
angle
Find the locus of the line segment
as
varies over the circle.
Let
be a fixed point on the circle. For a variable point
on the circle, construct the point
so that angle
angle
Find the locus of the line segment
as
varies over the circle.
Let
be a fixed point on the circle. For a variable point
on the circle, construct the point
so that angle
angle
Find the locus of the straight line
as
varies over the circle.
Let
be a fixed point on the circle. For a variable point
on the circle, construct the point
so that angle
angle
Find the locus of the straight line
as
varies over the circle.
Let
be a fixed point on the circle
.
For a variable point
on the circle, construct the circle with center
passing through
Find the locus of the circle
as
varies over the circumference of circle
Let
be a fixed point on the circle
.
For a variable point
on the circle, construct the circle with center
tangent to the straight line
Find the locus of the circle
as
varies over the circumference of circle
Let
be the orthogonal projections of a variable point
on the circle upon two fixed mutually perpendicular diameters. Find the locus
of the line segment
as
varies over the circle.
As in the above construction, find the locus of the foot of perpendicular
dropped from
upon
as
varies over the circle.
Let
be a fixed point inside the circle. Construct the perpendicular bisector of
where
is a variable point on the circle. Find the locus of this perpendicular
bisector as
varies over the circle.
What happend as
is moved outside the circle?
Construct the parabola as an envelope of straight lines.
Show that the feet of perpendicular from any point on the circumcircle of a
triangle upon the sides of the triangle lie on a straight line. This line is
called the Simson line. It is also called the Wallace
line. Find the locus of all possible Simson lines to a fixed
triangle.
