Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
7개의 결과 중 1 - 5개
50 페이지
... tangent , cotangent , secant , cosecant , are defined as functions of the arc - ratio by the following identities : sin 0LQ / OQ , cos 0 tan 0LQ / OL , cot sec = 0Q / OL , OL / OQ , OL LQ , csc 00Q / LQ . It must be borne in mind that ...
... tangent , cotangent , secant , cosecant , are defined as functions of the arc - ratio by the following identities : sin 0LQ / OQ , cos 0 tan 0LQ / OL , cot sec = 0Q / OL , OL / OQ , OL LQ , csc 00Q / LQ . It must be borne in mind that ...
52 페이지
... tangent from B to OP . = OM , intercept of tangent at Q upon OA . a csc = ON , intercept of tangent at Q upon OB . These constructions are evidently only variations in the statement of the definitions of the goniometric ratios . When a ...
... tangent from B to OP . = OM , intercept of tangent at Q upon OA . a csc = ON , intercept of tangent at Q upon OB . These constructions are evidently only variations in the statement of the definitions of the goniometric ratios . When a ...
55 페이지
... tangent , cotangent , secant and cosecant , and are symbolized by the abbreviations sinh , cosh , tanh , coth , sech , csch , are defined by the following identities : sinh u = } ( * = † ( eu — e − u ) , coshu ( e " + e- " ) , tanhu ...
... tangent , cotangent , secant and cosecant , and are symbolized by the abbreviations sinh , cosh , tanh , coth , sech , csch , are defined by the following identities : sinh u = } ( * = † ( eu — e − u ) , coshu ( e " + e- " ) , tanhu ...
56 페이지
... tangent to the circle from the foot of the ordinate y , RS a tangent to the hyperbola parallel to the chord PA , a , ß the co - ordinates of Q , the arc - ratio of the angle AOQ . It is obvious from its definition that cosh u has I for ...
... tangent to the circle from the foot of the ordinate y , RS a tangent to the hyperbola parallel to the chord PA , a , ß the co - ordinates of Q , the arc - ratio of the angle AOQ . It is obvious from its definition that cosh u has I for ...
57 페이지
... tangent to the conjugate hyperbola from B to OP , OM , intercept of tangent at P upon O.X , ( intercept of tangent at P upon OY ) . a sech u a csch u = LO , This construction gives pertinence to the name ratio as * Obtained by writing ...
... tangent to the conjugate hyperbola from B to OP , OM , intercept of tangent at P upon O.X , ( intercept of tangent at P upon OY ) . a sech u a csch u = LO , This construction gives pertinence to the name ratio as * Obtained by writing ...
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addition and subtraction Addition Theorem Agenda amplitude angle AOQ arc-ratio B₁ 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