Osborne's Rule
The prescription that a Trigonometry identity can be converted to an analogous identity for Hyperbolic Functionsby expanding, exchanging trigonometric functions with their hyperbolic counterparts, and then flipping the sign of each terminvolving the product of two Hyperbolic Sines. For example, given the identity
Osborne's rule gives the corresponding identity
See also Hyperbolic Functions, Trigonometry
- Cauchy-Schwarz Integral Inequality
- Cauchy-Schwarz Sum Inequality
- Cauchy's Cosine Integral Formula
- Cauchy Sequence
- Cauchy's Formula
- Cauchy's Rigidity Theorem
- Cauchy Test
- Caustic
- Cavalieri's Principle
- Cayley Algebra
- Cayley-Bacharach Theorem
- Cayley Cubic
- Cayley Graph
- Cayley-Hamilton Theorem
- Cayleyian Curve
- Cayley-Klein-Hilbert Metric
- Cayley-Klein Parameters
- Cayley Number
- Cayley's Group Theorem
- Cayley's Hypergeometric Function Theorem
- Cayley's Ruled Surface
- Cayley's Sextic
- Cayley's Sextic Evolute
- Cayley Tree
- C-Curve