Envelope | Tangent curve (English)
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Definition (advanced level)
A curve or a surface which touches every member of a family of lines, curves, planes or surfaces.
A family of curves in two dimensions f(x,y,t)=0 (where t is a parameter) has an envelope whose equation can be found by solving simultaneously:
A family of curves in two dimensions f(x,y,t)=0 (where t is a parameter) has an envelope whose equation can be found by solving simultaneously:
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Relations
- broader:
- (en) Curve
- narrower:
- (en) Astroid
- (en) Caustic
- (en) Dupin cyclide
- (en) Evolute
- (en) Line roulette
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