Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 páginas |
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Página xii
... roots 233-238 . Laws involving different bases and indices Extension of Index Notation § 2. Logarithmic Notation . 241-245 . Explanation of logarithms 246-250 . Logarithms to the same base 251-253 . Logarithms to different bases 181 ...
... roots 233-238 . Laws involving different bases and indices Extension of Index Notation § 2. Logarithmic Notation . 241-245 . Explanation of logarithms 246-250 . Logarithms to the same base 251-253 . Logarithms to different bases 181 ...
Página xvi
... roots 601 , 602 . Product of expressions of form cos a + i sin a 603-605 . De Moivre's Theorem 606-609 . The qth roots of complex expressions 610-614 . Factorisations by solutions of equations 416-418 418 , 419 419 , 420 420 , 421 421 ...
... roots 601 , 602 . Product of expressions of form cos a + i sin a 603-605 . De Moivre's Theorem 606-609 . The qth roots of complex expressions 610-614 . Factorisations by solutions of equations 416-418 418 , 419 419 , 420 420 , 421 421 ...
Página xvii
... roots of unity • 478 , 479 479 , 480 695-703 . Vector - quotients expressed as complex numbers 481-485 704-708 . Relation between two modes of interpreting i 485-487 MISCELLANEOUS EXAMPLES 488-491 ANSWERS TO EXAMPLES 492-504 ERRATA . p ...
... roots of unity • 478 , 479 479 , 480 695-703 . Vector - quotients expressed as complex numbers 481-485 704-708 . Relation between two modes of interpreting i 485-487 MISCELLANEOUS EXAMPLES 488-491 ANSWERS TO EXAMPLES 492-504 ERRATA . p ...
Página 95
... root , since 1 - cos Csin2 C , - - 2ab sin C = √ { ( a + b + c ) ( a + b − c ) ( c + a − b ) ( b + c − a ) } . 151. To prove the half - angle formula . Since 1 + cos C = 2 cos2 C and 1 – cos C ′ = 2 sin2 C , substituting in ( 1 ) ...
... root , since 1 - cos Csin2 C , - - 2ab sin C = √ { ( a + b + c ) ( a + b − c ) ( c + a − b ) ( b + c − a ) } . 151. To prove the half - angle formula . Since 1 + cos C = 2 cos2 C and 1 – cos C ′ = 2 sin2 C , substituting in ( 1 ) ...
Página 103
... root has to be taken must be positive . The conditions , geometrically considered , for a possible solution are that any length , any angle , and the ratio of any angle ( except the cos , tan , sec , or cot of such angles as may be ...
... root has to be taken must be positive . The conditions , geometrically considered , for a possible solution are that any length , any angle , and the ratio of any angle ( except the cos , tan , sec , or cot of such angles as may be ...
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Términos y frases comunes
acute angle algebraically antiparallels b₁ base bisector bisects Brocard Circle Brocard Points centre circular measure circumcentre circumcircle circumradius convergent cos² cos³ cosec cosh cosine cot² cotangent decimal difference directed length distance equal equation escribed circles Example expressed factors final line finite formulæ fraction Given log Hence hypothenuse inscribed integral last article Lemoine Circle limit logarithms magnitude middle point multiple nine-points nine-points circle obtuse opposite orthocentre perp perpendicular positive or negative PROP prove quadrant quantity radius ratios respectively right-angle root S₁ S₂ sec² secant sides sin² sin³ sine sinh subtend subtraction tan-¹ tan² tangent theorem triangle trigonometrical unity values zero
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