Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
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21 페이지
... direction , imaginary when they involve not only length , but also turning or rotation through a right angle , that is , length and direction at right angles to the axis of real quantities , finally complex if they embody length and ...
... direction , imaginary when they involve not only length , but also turning or rotation through a right angle , that is , length and direction at right angles to the axis of real quantities , finally complex if they embody length and ...
22 페이지
... direction forwards and backwards . In particular , all the numbers of common arithmetic , both integral and fractional , are accurately represented by distances laid off from a fixed origin in the positive sense upon a straight line ...
... direction forwards and backwards . In particular , all the numbers of common arithmetic , both integral and fractional , are accurately represented by distances laid off from a fixed origin in the positive sense upon a straight line ...
23 페이지
... another at O , Fig . 10 , lay off OA = a , OB = b , and on OA in the same direction as OA lay off OJ = j , which LAWS OF ALGEBRAIC OPERATION . 23 DEFINITIONS OF ALGEBRAIC OPERATIONS Algebraic addition Zero Algebraic multiplication.
... another at O , Fig . 10 , lay off OA = a , OB = b , and on OA in the same direction as OA lay off OJ = j , which LAWS OF ALGEBRAIC OPERATION . 23 DEFINITIONS OF ALGEBRAIC OPERATIONS Algebraic addition Zero Algebraic multiplication.
24 페이지
Being Part I of a Propædeutic to the Higher Mathematical Analysis Irving Stringham. direction as OA lay off OJ = j , which shall be of fixed length in all constructions belonging to algebra and shall be called the real unit . Join / and ...
Being Part I of a Propædeutic to the Higher Mathematical Analysis Irving Stringham. direction as OA lay off OJ = j , which shall be of fixed length in all constructions belonging to algebra and shall be called the real unit . Join / and ...
29 페이지
... direction ) and then added algebraically to what precedes . Any symbolic representative of quantity , a letter for example , unattended by either of the signs + or - , but still thought of as part of an algebraic sum , is supposed to ...
... direction ) and then added algebraically to what precedes . Any symbolic representative of quantity , a letter for example , unattended by either of the signs + or - , but still thought of as part of an algebraic sum , is supposed to ...
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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