Table of Contents
What kind of point is the same distance from another point?
equidistant point
An equidistant point is a point that is an equal distance from two other points.
Is sphere is uniquely known if we know how many points on it?
A sphere is uniquely determined by four points that are not coplanar. More generally, a sphere is uniquely determined by four conditions such as passing through a point, being tangent to a plane, etc. This property is analogous to the property that three non-collinear points determine a unique circle in a plane.
How do you evenly divide a sphere?
Another way is to divide the sphere into N partial sectors of equal width, like chopping the ends off of a sphere and then dividing the rest into N equal partial sectors. If you do this at the correct angle, then each of the partial sectors will have the same surface area as each of the pole caps.
How do you find the same distance?
A point is said to be equidistant from two other points when it is at an equal distance away from both of them. The distance between any two given points can be calculated by using the distance formula with the help of the coordinates of the two points.
How do you join three points on a sphere?
Answer Wiki. There are two cases to consider when joining 3 points on a sphere . The three points lie on the same “line” or “straight path” . Points are called “collinear” in spherical geometry as well as in Euclidean geometry, but on the surface of a sphere the shortest path between two arbitrary given points lies on a great circle .
How do you find the nearest and farthest point of a surface?
Obviously its center point is ( 0, 1, − 3) and its radius is 4 . I am asked to find the minimum and maximum distance to point ( 1, 1, 1) So nearest point would be the touch point with the surface, and farthest point would be the touchpoint + distance of diameter.
How do you find the distance between two points in 3D?
Distance in a 3D coordinate space: The distance between two points on a 3D coordinate plane can be found using the following distance formula d = √ (x2 – x1)2 + (y2 – y1)2 + (z2 – z1)2 where (x 1, y 1, z 1) and (x 2, y 2, z 2) are the 3D coordinates of the two points involved.
What is the great circle of a sphere?
A great circle (also orthodrome) of a sphere is the largest circle that can be drawn on any given sphere. It is formed by the intersection of a plane and the sphere through the center point of the sphere. The great-circle distance is the shortest distance between two points along the surface of a sphere.