Definition:Tangent Line/Circle
< Definition:Tangent Line(Redirected from Definition:Tangent to Circle)
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Definition
In the words of Euclid:
- A straight line is said to touch a circle which, meeting the circle and being produced, does not cut the circle.
(The Elements: Book $\text{III}$: Definition $2$)
In the above diagram, the line is tangent to the circle at the point $C$.
Tangent Circles
In the words of Euclid:
(The Elements: Book $\text{III}$: Definition $3$)
In the above diagram, the two circles are tangent to each other at the point $C$.
Also see
- Results about tangents to circles can be found here.