Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
7개의 결과 중 1 - 5개
23 페이지
... length to the negative magnitude . This kind of addition includes the addition and subtraction of positive numbers in arith- metic and introduces the new rule that larger positive magnitudes may be subtracted from smaller , producing ...
... length to the negative magnitude . This kind of addition includes the addition and subtraction of positive numbers in arith- metic and introduces the new rule that larger positive magnitudes may be subtracted from smaller , producing ...
34 페이지
... negative . If now B ' be so taken that B'O = b , then B'B = a . OB ba = a - b . = ― If a b c and d be any fourth magnitude , then = c ± d = d + c = a + b ± d = ± d ± b + a . Hence Obviously any algebraic sum may have its terms commuted ...
... negative . If now B ' be so taken that B'O = b , then B'B = a . OB ba = a - b . = ― If a b c and d be any fourth magnitude , then = c ± d = d + c = a + b ± d = ± d ± b + a . Hence Obviously any algebraic sum may have its terms commuted ...
45 페이지
... magnitude . ' It is customary to express this fact in brief by writing b ° = ∞ , logm∞ = ∞ ; though to suppose ... negative and approaches - ∞ . 30. Indeterminate Exponential Forms . When v logm u becomes either o × ∞ , or ± ∞ Xo ...
... magnitude . ' It is customary to express this fact in brief by writing b ° = ∞ , logm∞ = ∞ ; though to suppose ... negative and approaches - ∞ . 30. Indeterminate Exponential Forms . When v logm u becomes either o × ∞ , or ± ∞ Xo ...
50 페이지
... magnitude ✪ will be called the arc - ratio of the angle AOQ . The letter ... negative when extending to the left or downwards . OP drawn outwards from O ... negative , the gonio- metric ratios , called sine , cosine , tangent , cotangent ...
... magnitude ✪ will be called the arc - ratio of the angle AOQ . The letter ... negative when extending to the left or downwards . OP drawn outwards from O ... negative , the gonio- metric ratios , called sine , cosine , tangent , cotangent ...
66 페이지
... magnitudes , negative as well as posi- tive , another kind of magnitude , not yet considered , is necessarily introduced . For example , if x be positive , no real magnitude can be made to take the place of either ( -x ) 1/2 or logm ...
... magnitudes , negative as well as posi- tive , another kind of magnitude , not yet considered , is necessarily introduced . For example , if x be positive , no real magnitude can be made to take the place of either ( -x ) 1/2 or logm ...
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a+ib addition and subtraction Addition Theorem affix Agenda amplitude angle AOQ arc AVQ arc-ratio assumed base CALIFORNIA circular sector co-ordinates commutative law complex quantities corresponding cosh COSK csch defined definition direction distance equal equation equilateral hyperbola expm exponential expressed factors formula functions geometric addition Goniometric Ratios Hence hyperbolic functions Hyperbolic Ratios hyperbolic sector imaginary indeterminate form integer inverse law of indices law of involution law of metathesis length logarithmic spiral logm metathesis modular normal modulus natural logarithms negative nth roots orthomorphosis parallel path plane polynomial positive Prop proportion PROPOSITION Prove the following quotient radius real axis real magnitudes real quantities reciprocal represent respectively roots sech sector sinh speed straight line tanh tensor tion triangle unit circle x+iy z-plane zero