Archimedes's Spiral and Its Tangents
Archimedes's Spiral and Its Tangents
This Demonstration uses parametric equations and radius vectors to plot Archimedes's spiral (blue) and the curve of its tangents (orange), which represent the derivative. The function is in polar coordinates or in this implementation, in rectangular coordinates.
ϕ(t)=at
ϕ(t)=ax/(4π)(sinx,-cosx)
External Links
External Links
Permanent Citation
Permanent Citation
Tomas Garza
"Archimedes's Spiral and Its Tangents"
http://demonstrations.wolfram.com/ArchimedessSpiralAndItsTangents/
Wolfram Demonstrations Project
Published: March 19, 2020