Applications in Physical Science
Physical unit relations like:
- V = I R : Ohm's law
- P = V I : Electrical power
- P V = k T : Ideal gas law
- f λ = c : Sine waves
all suggest looking carefully at the quadrant. For example, in thermodynamics the isothermal process explicitly follows the hyperbolic path and work can be interpreted as a hyperbolic angle change. Similarly, an isobaric process may trace a hyperbola in the quadrant of absolute temperature and gas density.
For hyperbolic coordinates in the Theory of relativity see the History section below.
Read more about this topic: Hyperbolic Coordinates
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