Hyperbolic Functions

[James McMahon] ↠ Hyperbolic Functions Ò Download Online eBook or Kindle ePUB. Hyperbolic Functions For instance, it has been customary to define the hyperbolic functions in relation to a sector of the rectangular hyperbola, and to take the initial radius of the sector coincident with the principal radius of the curve; in the present work, these and similar restrictions are discarded in the interest of analogy and generality, with a gain in symmetry and simplicity, and the functions are defined as certain characteristic ratios belonging to any sector of any hyperbola. For those, however, who m

Author	:	James McMahon
Rating	:	4.38 (967 Votes)
Asin	:	1490379843
Format Type	:	paperback
Number of Pages	:	96 Pages
Publish Date	:	2017-12-12
Language	:	English

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For instance, it has been customary to define the hyperbolic functions in relation to a sector of the rectangular hyperbola, and to take the initial radius of the sector coincident with the principal radius of the curve; in the present work, these and similar restrictions are discarded in the interest of analogy and generality, with a gain in symmetry and simplicity, and the functions are defined as certain characteristic ratios belonging to any sector of any hyperbola. For those, however, who may wish to start with the exponential expressions as the definitions of the hyperbolic functions, the appropriate order of procedure is indicated on page 27, and a direct mode of bringing such exponential definitions into geometrical relation with the hyperbolic sector is shown in the Appendix CONTENTS: 1 Correspondence of P