Uniplanar Algebra: Being Part I of a Prop©¡deutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141ÆäÀÌÁö |
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... hyperbolic functions are concisely given . The chapter on Cyclometry furnishes , presumptively , a useful generalization of the circular and hyperbolic functions . The generalized definition of a logarithm ( Art . 68 ) and the ...
... hyperbolic functions are concisely given . The chapter on Cyclometry furnishes , presumptively , a useful generalization of the circular and hyperbolic functions . The generalized definition of a logarithm ( Art . 68 ) and the ...
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... FUNCTIONS . 90. Definitions of modocyclic functions . 91. Formul©¡ of cyclic functions . . ¥É¥Ï¥É 102 92. Agenda : Examples in multiples and submultiples of the argument . 106 93. Periodicity of modocyclic , hyperbolic and circular functions ...
... FUNCTIONS . 90. Definitions of modocyclic functions . 91. Formul©¡ of cyclic functions . . ¥É¥Ï¥É 102 92. Agenda : Examples in multiples and submultiples of the argument . 106 93. Periodicity of modocyclic , hyperbolic and circular functions ...
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... functions of the arc - ratio by the following identities : sin 0LQ / OQ , cos 0 tan 0LQ / OL , cot sec = 0Q / OL ... HYPERBOLIC RATIOS .
... functions of the arc - ratio by the following identities : sin 0LQ / OQ , cos 0 tan 0LQ / OL , cot sec = 0Q / OL ... HYPERBOLIC RATIOS .
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... functions of u and are written sg u , cg u and tg u . 51. Agenda . From the definitions of the Guder- mannian functions prove the formul©¡ : * By Cayley ... HYPERBOLIC RATIOS . Agenda: Properties of the equilateral hyperbola The Gudermannian.
... functions of u and are written sg u , cg u and tg u . 51. Agenda . From the definitions of the Guder- mannian functions prove the formul©¡ : * By Cayley ... HYPERBOLIC RATIOS . Agenda: Properties of the equilateral hyperbola The Gudermannian.
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... FUNCTIONS . go . Definitions . * The general cyclic functions , of which the circular and hyperbolic ratios of Chapter II are special forms , are defined by the following identities , in which w and w ' stand for complex quantities and ...
... FUNCTIONS . go . Definitions . * The general cyclic functions , of which the circular and hyperbolic ratios of Chapter II are special forms , are defined by the following identities , in which w and w ' stand for complex quantities and ...
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addition and subtraction Addition Theorem Agenda amplitude angle AOQ arc-ratio B©û base called circular sector cis ẞ commutative law complex quantities COROLLARY corresponding cosh COSK csch defined definition denoted distance equal equation equilateral hyperbola expm exponential expressed formula functions geometric addition Goniometric Ratios Hence hyperbolic functions Hyperbolic Ratios hyperbolic sector imaginary indeterminate form integers intersect inverse law of indices law of involution law of metathesis length logarithmic spiral logarithms logm modulus Multiplication and Division natural logarithms negative factors nth root OJ=j parallel plane polynomial positive Prop proportion PROPOSITION Prove the following quotient radii radius real axis real magnitudes real quantities reciprocal represent respectively sech sector sinh speed of Q straight line tanh tensor tion triangle unit circle z-plane zero