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In spherical geometry we look at the globe as the sphere S^2. Any plane intersecting the sphere will create a great circle. Now if you take any point on the globe and reflect it across that plane, you have another point that is equidistant from the plane. The sets of all these points will be equidistant from the great circle.
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How do you find a point equidistant from three other points?
To find a point equidistant from three other points, construct perpendicular bisectors for two of the segments formed from three points. Note: this will be the center of the circle that has all three points on it's circumference. Three points, not in a straight line, form three pairs of points with each pair defining a different line. Take any pair of points and draw the perpendicular bisector of the line joining them. Repeat for one of the other pairs. These two perpendicular bisectors will meet at the point which is equidistant from all three points - the circumcenter of the triangle formed by the three points.
Set of all points equidistant from a given point?
Circle!
What is an equation of the locus of points equidistant from the points 4 1 and 10 1?
Every point equidistant from (4, 1) and (10, 1) lies on the line [ x = 7 ],and that's the equation.
What is the point in a circle that is equidistant from all points on the circle?
It is the centre of the circle
All the points equidistant to a given point would form?
A circle.
What is the three dimensional shape that all points are equidistant from the center?
On a sphere, all points on the surface are equidistant from the center.
Briefly explain the focus and directrix of a parabola?
the set of points equidistant from a fixed point
What is the set all points in a plane that are equidistant from two points is a?
J
Locus of points equidistant from a point?
circle
How do you find a point equidistant from three other points?
To find a point equidistant from three other points, construct perpendicular bisectors for two of the segments formed from three points. Note: this will be the center of the circle that has all three points on it's circumference. Three points, not in a straight line, form three pairs of points with each pair defining a different line. Take any pair of points and draw the perpendicular bisector of the line joining them. Repeat for one of the other pairs. These two perpendicular bisectors will meet at the point which is equidistant from all three points - the circumcenter of the triangle formed by the three points.
What is the set of all points in the plane equidistant from one point in the plane?
The set of all points in the plane equidistant from one point in the plane is named a parabola.
All the points on a plane that are equidistant from a single point?
All points on the circumference of a circle drawn on a plane are equidistant from the single point on the plane which is the center of the circle.
What is the locus of points in a plane that are equidistant from points A and B in the plane?
a straight line ..
What do you call a set of points equidistant from a point?
A selection of some points on a circle.
What is a locus of points equidistant from a point?
A locus of points is just the set of points satisfying a given condition. The locus of points equidistant from a point is a circle, since a circle is just a set of points which are all the same distance away from the center
What is a set of points equidistant from a given point?
sphere
Set of points equidistant from a given point?
A circle
