Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
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xi 페이지
... real magnitudes XIV . 87. Scale of equal parts . · 89. For complex magnitudes NUMERICAL MEASURES . 888 97 98 CHAPTER IV . CYCLOMETRY . XV . CYCLIC FUNCTIONS . 90. Definitions of modocyclic functions . 91. Formulæ of cyclic functions ...
... real magnitudes XIV . 87. Scale of equal parts . · 89. For complex magnitudes NUMERICAL MEASURES . 888 97 98 CHAPTER IV . CYCLOMETRY . XV . CYCLIC FUNCTIONS . 90. Definitions of modocyclic functions . 91. Formulæ of cyclic functions ...
22 페이지
... Real Quantities . It is evident that all real quantities may be made ... magnitudes , that is , lengths laid off upon a straight line , are IPSO ... magnitudes will be represented by straight lines of finite length . II . DEFINITIONS OF ...
... Real Quantities . It is evident that all real quantities may be made ... magnitudes , that is , lengths laid off upon a straight line , are IPSO ... magnitudes will be represented by straight lines of finite length . II . DEFINITIONS OF ...
24 페이지
... real magnitude a by the real magnitude b , and is denoted by ab , or by ab , or more simply still by a b . * In a pro- duct the constituent parts are factors . The product a X b may also be a factor in another pro- duct , consisting ...
... real magnitude a by the real magnitude b , and is denoted by ab , or by ab , or more simply still by a b . * In a pro- duct the constituent parts are factors . The product a X b may also be a factor in another pro- duct , consisting ...
25 페이지
... magnitudes , may be interchanged , and vice versa . if b = | a , then also a / b , A reciprocal , being itself a line - magnitude , may enter a product as one of its factors . 7. Idemfactor : Real Unit . If in the proportion jabm we ...
... magnitudes , may be interchanged , and vice versa . if b = | a , then also a / b , A reciprocal , being itself a line - magnitude , may enter a product as one of its factors . 7. Idemfactor : Real Unit . If in the proportion jabm we ...
26 페이지
... magnitude whatever . Hence we may de- scribe the real unit as the quotient of any real magnitude ' by itself . The quotient c / a is also represented by c ÷ a , or by The latter notation will be frequently employed in the sequel . 9 ...
... magnitude whatever . Hence we may de- scribe the real unit as the quotient of any real magnitude ' by itself . The quotient c / a is also represented by c ÷ a , or by The latter notation will be frequently employed in the sequel . 9 ...
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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