This shows the shape of the brachistochrone from the origin to a variable final point. The circles indicate the position of the sliding point at equally spaced times.
THINGS TO TRY
More than 300 years after Johann Bernoulli published the "problema novum" in
in the summer of 1696, the new
6 shows the solution curve, a brachistochrone, in an interactive way.
the Wolfram Demonstrations Project
Embed Interactive Demonstration
More details »
Download Demonstration as CDF »
Download Author Code »
More by Author
Harmonic Oscillator in a Half-space with a Moving Wall
Swirl and the Curl
Curvature and Torsion
Michael Rogers (Oxford College/Emory University)
Surface Integrals over Segments of Parametrized Surfaces
Circle of Curvature
Herbert W. Franke
Approximating the Brachistochrone by Line Segments
Approximating the Derivative by the Symmetric Difference Quotient
Surfaces and Gradients
High School Calculus and Analytic Geometry
High School Mathematics
High School Physics
Browse all topics
The #1 tool for creating Demonstrations
and anything technical.
Explore anything with the first
computational knowledge engine.
The web's most extensive
Course Assistant Apps »
An app for every course—
right in the palm of your hand.
Wolfram Blog »
Read our views on math,
science, and technology.
Computable Document Format »
The format that makes Demonstrations
(and any information) easy to share and
STEM Initiative »
Programs & resources for
educators, schools & students.
Join the initiative for modernizing
Step-by-Step Solutions »
Walk through homework problems one step at a time, with hints to help along the way.
Wolfram Problem Generator »
Unlimited random practice problems and answers with built-in step-by-step solutions. Practice online or make a printable study sheet.
Wolfram Language »
Knowledge-based programming for everyone.
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.
© 2018 Wolfram Demonstrations Project & Contributors |
Note: To run this Demonstration you need Mathematica 7+ or the free Mathematica Player 7EX
Download or upgrade to
Mathematica Player 7EX
I already have