What is the orthogonality condition of two spheres?
Table of Contents
- 1 What is the orthogonality condition of two spheres?
- 2 What happens when two circles are cut orthogonally?
- 3 Is the two circles cut each other then their common chord is?
- 4 What is orthogonal condition?
- 5 What does cut orthogonally mean?
- 6 What is an orthogonal circle?
- 7 What is the meaning of cut orthogonally?
What is the orthogonality condition of two spheres?
Two sphere are said to be orthogonal (or to cut orthogonally) if their tangent planes at a point of intersection are at right angles to each other.
What happens when two circles are cut orthogonally?
Two circles are said to be orthogonal circles, if the tangent at their point of intersection are at right angles. If two circles are cut orthogonally then it must satisfy the following condition. are orthogonal. The two circles cut orthogonally and hence they are orthogonal circles.
How do you find an orthogonal circle?
This circle is called the orthogonal circle (or radical circle) of the system. The orthogonal circle is the locus of a point whose polars with respect to the three given circles are concurrent (Lachlan 1893, p. 237)….Orthogonal Circles.
| circle | orthogonal circle(s) |
|---|---|
| second Droz-Farny circle | polar circle |
Is the two circles cut each other then their common chord is?
When two intersect each other, the line joining their centres bisect the common chord at 90 degrees.
What is orthogonal condition?
In geometry, two Euclidean vectors are orthogonal if they are perpendicular, i.e., they form a right angle. Two vectors, x and y, in an inner product space, V, are orthogonal if their inner product is zero.
What is the concept of orthogonality of sphere?
If the angle of intersection of two spheres is a right angle, the spheres are said to be orthogonal.
What does cut orthogonally mean?
1a : intersecting or lying at right angles In orthogonal cutting, the cutting edge is perpendicular to the direction of tool travel.
What is an orthogonal circle?
Perpendicular (Orthogonal) Circles If two circles intersect in two points, and the radii drawn to the points of intersection meet at right angles, then the circles are orthogonal, and the circles can be said to be perpendicular to each other.
How do you find the equation of the common chord of two circles?
Note: While finding the equation of the common chord of two given intersecting circles first we need to express each equation to its general form i.e., x2 + y2 + 2gx + 2fy + c = 0 then subtract one equation of the circle from the other equation of the circle.