41. The Vecten points lie on the Kiepert hyperbola 42. A hyperbola aligned in this way is called an " East-West opening hyperbola ". 43. A hyperbola aligned in this way is called an " East-West opening hyperbola ". 44. A third construction relies on the definition of the hyperbola as the reciprocation of a circle. 45. Other orthogonal two-dimensional coordinate systems involving hyperbolas may be obtained by other conformal mappings. 46. Alt = The hyperbola depicted twice. 47. Parabolic orbits do not occur in nature; simple orbits most commonly resemble hyperbolas or ellipses. 48. The graph of two variables varying inversely on the Cartesian coordinate plane is a rectangular hyperbola . 49. It is tangent to the hyperbola at the pure risky portfolio with the highest Sharpe ratio. 50. He recognized that the world-line of such an accelerated body corresponds to a hyperbola .