Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
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x 페이지
... formula 74. Demoivre's theorem 75. Relations between base and modulus 81 81 83 84 84 86 86 76. The law of involution . 88 77. The law of metathesis . 78. The law of indices 79. The addition theorem for logarithms 89 89 90 80. The ...
... formula 74. Demoivre's theorem 75. Relations between base and modulus 81 81 83 84 84 86 86 76. The law of involution . 88 77. The law of metathesis . 78. The law of indices 79. The addition theorem for logarithms 89 89 90 80. The ...
32 페이지
... formula : ± ( ± a ± b ) = ± ( ± a ) ± ( ± b ) , wherein the order of occurrence of the signs + and must be the same in the two members of the equation . - 16. In Multiplication and Division . Construct upon OA and O M , Fig . 15 , the ...
... formula : ± ( ± a ± b ) = ± ( ± a ) ± ( ± b ) , wherein the order of occurrence of the signs + and must be the same in the two members of the equation . - 16. In Multiplication and Division . Construct upon OA and O M , Fig . 15 , the ...
35 페이지
... factor sign , the more explicit form of statement contained in this equation is xba = axb . The formula for the commutative law in multiplication and division LAWS OF ALGEBRAIC OPERATION . 35 In multiplication and division.
... factor sign , the more explicit form of statement contained in this equation is xba = axb . The formula for the commutative law in multiplication and division LAWS OF ALGEBRAIC OPERATION . 35 In multiplication and division.
36 페이지
... formula , the same sign attaches to a or b on both sides of the equation . 19. Agenda : Theorems in Proportion . ( 1 ) . Prove that in a proportion the product of the means is equal to the product of the extremes . ( 2 ) . Prove that ...
... formula , the same sign attaches to a or b on both sides of the equation . 19. Agenda : Theorems in Proportion . ( 1 ) . Prove that in a proportion the product of the means is equal to the product of the extremes . ( 2 ) . Prove that ...
37 페이지
... formula last written , are any real magnitudes whatever , they may be replaced by their reciprocals , | a , | b , c , d . For the same reason , in the formula ( ± a ± b ) X ( ± c ) = ( ± a ) × ( ± c ) + ( ± b ) × ( ± c ) , ( c ) may be ...
... formula last written , are any real magnitudes whatever , they may be replaced by their reciprocals , | a , | b , c , d . For the same reason , in the formula ( ± a ± b ) X ( ± c ) = ( ± a ) × ( ± c ) + ( ± b ) × ( ± c ) , ( c ) may be ...
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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