Treatise on Trigonometry ...Macmillen & Company, 1889 - 504 sider |
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Side xv
... Divergent . 325 , 326 443-445 . 446-448 . 449-457 . 458 , 459 . 460 462 . General theorems on convergency Theorems on alternately signed series Theorems on series of same sign throughout Principle of equating coefficients Convergency of ...
... Divergent . 325 , 326 443-445 . 446-448 . 449-457 . 458 , 459 . 460 462 . General theorems on convergency Theorems on alternately signed series Theorems on series of same sign throughout Principle of equating coefficients Convergency of ...
Side 325
... quantity less than any assignable value . And this finite quantity is called the Sum of the endless series . DEF . 2. An endless series is said to be ARTS PAGES Convergency and Divergency 442 Limits Convergent and Divergent 325,
... quantity less than any assignable value . And this finite quantity is called the Sum of the endless series . DEF . 2. An endless series is said to be ARTS PAGES Convergency and Divergency 442 Limits Convergent and Divergent 325,
Side 327
... divergent . For if , for some forms of ƒ and ø , the sum of f ( r ) terms differs from that of ( r ) terms by a ... divergent , which is contrary to the hypothesis . ― Similarly , if a series , some of whose terms are different in sign ...
... divergent . For if , for some forms of ƒ and ø , the sum of f ( r ) terms differs from that of ( r ) terms by a ... divergent , which is contrary to the hypothesis . ― Similarly , if a series , some of whose terms are different in sign ...
Side 328
... divergent , if the ratio of every group to the preceding is greater than some quantity greater than 1 . For let Un + 1 > k , where k > 1 ; Ип Then un + 1 > ku ,; which can be 328 ENDLESS SERIES . 443-445 446-448 449-457 458, 459 462 ...
... divergent , if the ratio of every group to the preceding is greater than some quantity greater than 1 . For let Un + 1 > k , where k > 1 ; Ип Then un + 1 > ku ,; which can be 328 ENDLESS SERIES . 443-445 446-448 449-457 458, 459 462 ...
Side 329
... divergent . Theorems on Series of same sign throughout . 449. ( I. ) A series , all of whose terms have the same sign , is divergent , if every term is equal to or greater than the preceding . For in this case the sum of n terms of U1 + ...
... divergent . Theorems on Series of same sign throughout . 449. ( I. ) A series , all of whose terms have the same sign , is divergent , if every term is equal to or greater than the preceding . For in this case the sum of n terms of U1 + ...
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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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