Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
29개의 결과 중 1 - 5개
4 페이지
... represented graphically thus : O A 2A 3A 4A 5A 6A 7A 8A Multiples of A : Multiples of B : B 2B 3B 4B 5B 6B Fig . 1 . 4. If , in this comparison of the multiples of two magnitudes , any multiple , as n A , of the one coincides with ( is ...
... represented graphically thus : O A 2A 3A 4A 5A 6A 7A 8A Multiples of A : Multiples of B : B 2B 3B 4B 5B 6B Fig . 1 . 4. If , in this comparison of the multiples of two magnitudes , any multiple , as n A , of the one coincides with ( is ...
6 페이지
... represented graph- ically thus : Multiples of A : Multiples of B : O A 2A 3A 4A 5A 6A 7A O B 2B 3B 4B 5B Multiples ... representing two equal ratios , one will be an enlarged copy of the other , but in particular , if the antecedents and ...
... represented graph- ically thus : Multiples of A : Multiples of B : O A 2A 3A 4A 5A 6A 7A O B 2B 3B 4B 5B Multiples ... representing two equal ratios , one will be an enlarged copy of the other , but in particular , if the antecedents and ...
7 페이지
... represented in Def . 6 , it is obvious that in each case the multiples of the ante- cedent are distributed among those of the corresponding consequent in exactly the same order . * Enunciations and numbering quoted from Hall and Stevens ...
... represented in Def . 6 , it is obvious that in each case the multiples of the ante- cedent are distributed among those of the corresponding consequent in exactly the same order . * Enunciations and numbering quoted from Hall and Stevens ...
11 페이지
... represent . Hence A : B : mA : m B. ( i ) . COROLLARY : If AB P Q , then m Am B nPnQ , whatever integers m and n may be . PROPOSITION 9 . " If two ratios be equal , and any equimultiples of the antecedents and also of the consequents be ...
... represent . Hence A : B : mA : m B. ( i ) . COROLLARY : If AB P Q , then m Am B nPnQ , whatever integers m and n may be . PROPOSITION 9 . " If two ratios be equal , and any equimultiples of the antecedents and also of the consequents be ...
14 페이지
... represent , B ' M ' ( or m . A ' B ' ) > or < B'N ' ( or n . B'C ' ) according as = B M ( or m , AB ) > or < BN ( or n . BC ) ; ... AB : BC :: A'B ' : B ' C ' . N ( Def . 5 ) . M B Also on A A Fig . 4 M ' ( i ) . COROLLARY : " If the ...
... represent , B ' M ' ( or m . A ' B ' ) > or < B'N ' ( or n . B'C ' ) according as = B M ( or m , AB ) > or < BN ( or n . BC ) ; ... AB : BC :: A'B ' : B ' C ' . N ( Def . 5 ) . M B Also on A A Fig . 4 M ' ( i ) . COROLLARY : " If the ...
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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