Philosophical Transactions of the Royal Society of London |
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Pagina 15
( IL ) which , in the abovementioned cases , becomes , ( 2 ) ....... ( 2 ) 1 . ( 1-2 ) 2 ( 16 ) " 1 { 3,2 } oll ) 1 o ( 2 ) ( 2 ) ( 1 + en ) ? ( I( 1 in . { 3,3 } - ( ! ) . 2 3 . , ( 2 ) ...... ( 2 ) of Cotes's Theorem . 15.
( IL ) which , in the abovementioned cases , becomes , ( 2 ) ....... ( 2 ) 1 . ( 1-2 ) 2 ( 16 ) " 1 { 3,2 } oll ) 1 o ( 2 ) ( 2 ) ( 1 + en ) ? ( I( 1 in . { 3,3 } - ( ! ) . 2 3 . , ( 2 ) ...... ( 2 ) of Cotes's Theorem . 15.
Pagina 17
By treating it like the rest , , it becomes g ( 1 ) ....... ( 1 ) 1-27 " . cos , no + 220 : . { 6,1 } . { ( 2 ) 1-21 " . cos . n ( 775 ) + 13 * 1 272 . ( 2 ) 1 R 1. When w = 0 , it becomes I MDCCCXIII .
By treating it like the rest , , it becomes g ( 1 ) ....... ( 1 ) 1-27 " . cos , no + 220 : . { 6,1 } . { ( 2 ) 1-21 " . cos . n ( 775 ) + 13 * 1 272 . ( 2 ) 1 R 1. When w = 0 , it becomes I MDCCCXIII .
Pagina 18
If n be even , cos . no = cos . n ( 7 + o ) and , since 1 - { ** } ' , this becomes R ...... R = a = a " . TT -e 1 I +22 O ( 1-2 ) - 27 " . cos . no +227 . 1 1 n 1 2. If n be odd , cos . no =n cos . n ( 15 + o ) , whence T R .
If n be even , cos . no = cos . n ( 7 + o ) and , since 1 - { ** } ' , this becomes R ...... R = a = a " . TT -e 1 I +22 O ( 1-2 ) - 27 " . cos . no +227 . 1 1 n 1 2. If n be odd , cos . no =n cos . n ( 15 + o ) , whence T R .
Pagina 22
+ A ( If A = , this becomes 1 = 2 " - ' . sin . p . sin . 3. sin . ( 2n - 1 ) sin . ( e ) ( 6 ) gives by making B = 0 , -A 3 ( 6 ) -A ) ( 2n - 1 ) -116 ) -A 7 cos . A = 2 " -1.sin . ..sin . sin . -- ( ) , this gives 1 = 2 " . sin .
+ A ( If A = , this becomes 1 = 2 " - ' . sin . p . sin . 3. sin . ( 2n - 1 ) sin . ( e ) ( 6 ) gives by making B = 0 , -A 3 ( 6 ) -A ) ( 2n - 1 ) -116 ) -A 7 cos . A = 2 " -1.sin . ..sin . sin . -- ( ) , this gives 1 = 2 " . sin .
Pagina 24
4m + 2 , if ý = , this becomes - + 2p " . { 8,7 } , I n - р р ( 1 + 2 + ) 2,1 ( 1 +220 ) O 1 2 I n and when = 1 . ( 2L ) * P P = + + " { 8,8 } . Thus , in the last mentioned construction , if the number of lines be 4m + 2 , insiead of ...
4m + 2 , if ý = , this becomes - + 2p " . { 8,7 } , I n - р р ( 1 + 2 + ) 2,1 ( 1 +220 ) O 1 2 I n and when = 1 . ( 2L ) * P P = + + " { 8,8 } . Thus , in the last mentioned construction , if the number of lines be 4m + 2 , insiead of ...
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Philosophical Transactions of the Royal Society of London Royal Society (Great Britain) Volledige weergave - 1835 |
Philosophical Transactions of the Royal Society of London Royal Society (Great Britain) Volledige weergave - 1836 |
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Bibliografische gegevens
| Titel | Philosophical Transactions of the Royal Society of London |
| Bijdrager | Royal Society (Great Britain) |
| Uitgever | W. Bowyer and J. Nichols for Lockyer Davis, printer to the Royal Society, 1813 |
| Oorspronkelijk uit | Nationale Bibliotheek van Napels |
| Gedigitaliseerd | 29 okt 2015 |
| Citatie exporteren | BiBTeX EndNote RefMan |