Uniplanar Algebra: Being Part I of a Propædeutic to the Higher Mathematical AnalysisBerkeley Press, 1893 - 141페이지 |
도서 본문에서
4개의 결과 중 1 - 4개
xiii 페이지
... to base b . log sink , cos , etc. Logarithm of , to modulus « . Sine , cosine , etc. , to modulus K. limit Limit of , when approaches a . x = 0 .. Therefore . UNIPLANAR ALGEBRA UNIV . OF VINYOJITVO INTRODUCTION . EUCLID'S DOCTRINE.
... to base b . log sink , cos , etc. Logarithm of , to modulus « . Sine , cosine , etc. , to modulus K. limit Limit of , when approaches a . x = 0 .. Therefore . UNIPLANAR ALGEBRA UNIV . OF VINYOJITVO INTRODUCTION . EUCLID'S DOCTRINE.
103 페이지
... sink w , ( II ) . COSK 2 + 1 = 2 COS W. From ( 6 ) and ( 7 ) by division : ( 12 ) . tank ( w ± w ' ) = ( 13 ) . cot ( w ± w ' ) = K tan , tan , w ′′ -2 I ± 2 tank w tank ' K сot w ± Â ̄2 tank w Icot w tank W W From ( 12 ) and ( 13 ) by ...
... sink w , ( II ) . COSK 2 + 1 = 2 COS W. From ( 6 ) and ( 7 ) by division : ( 12 ) . tank ( w ± w ' ) = ( 13 ) . cot ( w ± w ' ) = K tan , tan , w ′′ -2 I ± 2 tank w tank ' K сot w ± Â ̄2 tank w Icot w tank W W From ( 12 ) and ( 13 ) by ...
107 페이지
... sink , cos tan , etc. , g for sin , cos , etc. , and h for sinh , cosh , etc. , the law is , n being any integer : For modocyclic functions ƒ ( w + 2ni « π ) = ƒ ( w ) , for circular functions g ( w + 2nπ ) = g ( w ) , for hyperbolic ...
... sink , cos tan , etc. , g for sin , cos , etc. , and h for sinh , cosh , etc. , the law is , n being any integer : For modocyclic functions ƒ ( w + 2ni « π ) = ƒ ( w ) , for circular functions g ( w + 2nπ ) = g ( w ) , for hyperbolic ...
108 페이지
... sink w = ik cosμ W , 2 έκπ ( 7 ) . COSK ( ix TM ± w ) = ± i / x sin , w , 2 έκπ ( 9 ) . cotk ( 8 ) . tan , ( ± w ) = ± « 2 cot , w , 2 ( ikπ + w ) = 2 + w = ± K ̄2 tan ̧ w , ( 10 ) . sin , ( w зікп Fik COSK W , Κ 2 ( 12 ) . SK ( 31 KT ...
... sink w = ik cosμ W , 2 έκπ ( 7 ) . COSK ( ix TM ± w ) = ± i / x sin , w , 2 έκπ ( 9 ) . cotk ( 8 ) . tan , ( ± w ) = ± « 2 cot , w , 2 ( ikπ + w ) = 2 + w = ± K ̄2 tan ̧ w , ( 10 ) . sin , ( w зікп Fik COSK W , Κ 2 ( 12 ) . SK ( 31 KT ...
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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