You get a bonus - 1 coin for daily activity. Now you have 1 coin

Tangent plane to the ball

Lecture





  Tangent plane to the ball

A plane passing through point A of a spherical surface and perpendicular to the radius drawn to point A is called a tangent plane . Point A is called a touch point .

Theorem

The tangent plane has only one common point with the ball - the point of tangency.

  Tangent plane to the ball

Evidence

Let α be the plane tangent to the ball, and A the point of tangency. Take an arbitrary point X of the plane α, different from A. Since OA is perpendicular and OX is inclined, OX> OA = R.
Therefore, point X does not belong to the ball. The theorem is proved.
created: 2014-10-05
updated: 2021-03-13
132568



Rating 9 of 10. count vote: 2
Are you satisfied?:



Comments


To leave a comment
If you have any suggestion, idea, thanks or comment, feel free to write. We really value feedback and are glad to hear your opinion.
To reply

Stereometry

Terms: Stereometry