Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
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Side 17
Note , If the fine of every 5th minute , only , be computed according to the
foregoing method , the fines of all the intermediate arches may be had from
thence , by barely taking the proportional parts of the differences , and that so
near as to give ...
Note , If the fine of every 5th minute , only , be computed according to the
foregoing method , the fines of all the intermediate arches may be had from
thence , by barely taking the proportional parts of the differences , and that so
near as to give ...
Side 20
Again , as a second example , let it be required to find the lines of all the arches ,
to every minute , between 59 ° 15 ' and 60 ° 00 ' ; those of the two extremes being
first found , by the preceding method . method . In this case , the two extremes ...
Again , as a second example , let it be required to find the lines of all the arches ,
to every minute , between 59 ° 15 ' and 60 ° 00 ' ; those of the two extremes being
first found , by the preceding method . method . In this case , the two extremes ...
Side 21
method . In this case , the two extremes , being , 85940641 and , 86602540 , their
sum will be = 1,72543 , & c . and their difference = , 00661899 ; whereof the
former , multiplied by , 0000000423 ( see the rule ) gives , 00000007298 , & c .
method . In this case , the two extremes , being , 85940641 and , 86602540 , their
sum will be = 1,72543 , & c . and their difference = , 00661899 ; whereof the
former , multiplied by , 0000000423 ( see the rule ) gives , 00000007298 , & c .
Side 22
... the foregoing opera . tions are founded , depend upon principles too foreign
from the main design of this treatise , to be explained here ( even would room
permit ) ; however , as ' to the correctness and utility of the method itself , I will
venture ...
... the foregoing opera . tions are founded , depend upon principles too foreign
from the main design of this treatise , to be explained here ( even would room
permit ) ; however , as ' to the correctness and utility of the method itself , I will
venture ...
Side 49
But notwithstanding all these artifices and compendiums , a method ( similar to
that in page 18. ) for finding the logarithms of large numbers , one from another ,
by addition and subtraction , only , still seems wanting in the calculation of tables
; I ...
But notwithstanding all these artifices and compendiums , a method ( similar to
that in page 18. ) for finding the logarithms of large numbers , one from another ,
by addition and subtraction , only , still seems wanting in the calculation of tables
; I ...
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Vanlige uttrykk og setninger
added alſo appears arch balf baſe becauſe called caſe chord circle co-f co-fine AC co-tang common complement conſequently Corol COROLLARY determine diameter difference divided drawn equal equal to half evident exceſs extremes fide AC fine fines firſt follows given gives gles greater half the ſum half their difference Hence hyperbolic logarithm hypothenuſe laſt logarithm manifeft meeting method minute moreover Note oppoſite parallel perpendicular plane triangle ABC preceding progreſſion PROP proportion propoſed radius rectangle reſpectively right-angled ſame ſecant ſee ſeries ſhall ſides ſince ſine ſpherical Spherical triangle ABC ſubtracted ſum ſuppoſed tang tangent of half Tbeor Theor THEOREM thereof theſe thoſe unity verſed vertical angle whence
Bibliografisk informasjon
| Tittel | Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms, Thomas Simpson |
| Forfatter | Thomas Simpson |
| Bidragsyter | John Nourse |
| Utgiver | J. Nourse, bookseller in ordinary to his Majesty., 1765 |
| Original fra | Oxford University |
| Digitalisert | 27. feb 2009 |
| Lengde | 79 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |