hyperbolic sector造句
例句与造句
- The area of such hyperbolic sectors has been used to define hyperbolic distance in a geometry textbook.
- Hyperbolic sectors can also be drawn to the hyperbola y = \ sqrt { 1 + x ^ 2 }.
- For example, the logarithm function arose from the reciprocal function in an effort to find the area of a hyperbolic sector.
- For the expression of hyperbolic functions as ratio of the sides of a right triangle, see the hyperbolic triangle of a hyperbolic sector.
- Analogously, a unit hyperbola x ^ 2-y ^ 2 = 1 has a hyperbolic sector with an area half of the hyperbolic angle.
- It's difficult to find hyperbolic sector in a sentence. 用hyperbolic sector造句挺难的
- Before 1748 and the publication of Introduction to the Analysis of the Infinite, the natural logarithm was known in terms of the area of a hyperbolic sector.
- Euler identified e as the value of " b " producing a unit of area ( under the hyperbola or in a hyperbolic sector in standard position ).
- Further, the attention to areas of hyperbolic sectors by Gregoire de Saint-Vincent led to the logarithm function and the modern parametrization of the hyperbola by sector areas.
- Mellon Haskell of University of California, Berkeley described the basis of hyperbolic functions in areas of hyperbolic sectors in an 1895 article in Bulletin of the American Mathematical Society ( see External links ).
- The quadrature of the hyperbola " xy " = 1 by Gregoire de Saint-Vincent established the natural logarithm as the area of a hyperbolic sector, or an equivalent area against an asymptote.
- Any point on the hyperbola has coordinates ( e ^ r, \ e ^ {-r } ) where r is the rapidity, and is equal to the area of the hyperbolic sector from ( 1, 1 ) to these coordinates.
- Proof : An argument adding and subtracting triangles of area ? one triangle being { ( 0, 0 ), ( 0, 1 ), ( 1, 1 ) }, shows the hyperbolic sector area is equal to the area along the asymptote.
- The size of the hyperbolic angle is equal to the area of the corresponding hyperbolic sector of the hyperbola, or twice the area of the corresponding sector of the unit hyperbola, just as a circular angle is twice the area of the circular sector of the unit circle.