Uniplanar Algebra: Being Part I of a Prop©¡deutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141ÆäÀÌÁö |
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81 ÆäÀÌÁö
... unit circle and the real axis at J. y = 0 and x = 1 , when u = v = 0 , to which correspond the convenient relations and exp ̧¢´ = B ¡Æ = I , logk I = Blog I = 0 . Hence Here also , as in Art . 23 , because w = I when z = B , logk B = I ...
... unit circle and the real axis at J. y = 0 and x = 1 , when u = v = 0 , to which correspond the convenient relations and exp ̧¢´ = B ¡Æ = I , logk I = Blog I = 0 . Hence Here also , as in Art . 23 , because w = I when z = B , logk B = I ...
83 ÆäÀÌÁö
... unit circle . Such constructions are possible to every logarithmic system and enable us to simplify the graphical representation of the relative motions of P and Q. * - Expressions of the form log , for which no interpreta- tion could ...
... unit circle . Such constructions are possible to every logarithmic system and enable us to simplify the graphical representation of the relative motions of P and Q. * - Expressions of the form log , for which no interpreta- tion could ...
119 ÆäÀÌÁö
... unit circle . By the operation of exponentiation , indicated by Bw , a straight line in the w - plane is transformed , metamorphosed , into a logarithmic spiral ( Art . 80 ) . Hence if the variable elements of the w - plane be assumed ...
... unit circle . By the operation of exponentiation , indicated by Bw , a straight line in the w - plane is transformed , metamorphosed , into a logarithmic spiral ( Art . 80 ) . Hence if the variable elements of the w - plane be assumed ...
120 ÆäÀÌÁö
... unit circle ( Art . 68 ) . Hence , to points in the w - plane below or above the modular normal OF , correspond respectively points in the z - plane within or or without the unit circle . Thus the shaded and unshaded portions of Figs ...
... unit circle ( Art . 68 ) . Hence , to points in the w - plane below or above the modular normal OF , correspond respectively points in the z - plane within or or without the unit circle . Thus the shaded and unshaded portions of Figs ...
125 ÆäÀÌÁö
... unit circle , the point ( x , y ) describes , in the same order , the successive quad- rants of an ellipse . If r be negative , the same ellipse reappears , but its periphery is described in the reverse direction . Thus the affix of ...
... unit circle , the point ( x , y ) describes , in the same order , the successive quad- rants of an ellipse . If r be negative , the same ellipse reappears , but its periphery is described in the reverse direction . Thus the affix of ...
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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