Tangent to a Catenary

Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
Any tangent to the catenary has the property
, where
is the tangent to the catenary at
, and
is the semicircle with center
and radius
.
Contributed by: Izidor Hafner (November 2012)
Open content licensed under CC BY-NC-SA
Snapshots
Details
Reference
[1] G. N. Berman, A Problem Book in Mathematical Analysis, Moscow, Russia: Mir Publishers, 1957 p. 69.
Permanent Citation
"Tangent to a Catenary"
http://demonstrations.wolfram.com/TangentToACatenary/
Wolfram Demonstrations Project
Published: November 5 2012