Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
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Resultat 1-5 av 5
Side 40
Thus , if e be an indefinite small quantity , the hyperbolic logarithm of the natural
number agreeing with any term ite ] " of the logarithmic progression i , 5 + e , 1 +
el , i + el , it et , & c . will be expressed by ne . PROPOSITION I. The hyperbolic ...
Thus , if e be an indefinite small quantity , the hyperbolic logarithm of the natural
number agreeing with any term ite ] " of the logarithmic progression i , 5 + e , 1 +
el , i + el , it et , & c . will be expressed by ne . PROPOSITION I. The hyperbolic ...
Side 44
... either of which and you will have x = P + Q values , substituted in the foregoing
series 2x + 2X5 & c . will give the hyperbolic logarithm 3 5 of the respective
number . Example . Let it be proposed to find the hyperbolic logarithm of the
number ...
... either of which and you will have x = P + Q values , substituted in the foregoing
series 2x + 2X5 & c . will give the hyperbolic logarithm 3 5 of the respective
number . Example . Let it be proposed to find the hyperbolic logarithm of the
number ...
Side 45
45 After the very fame manner the hyperbolic logarithm of any other number may
be determined ; ' / but , as the series converges , nower and flower , the higher we
go , it is usual , in computing of tables , * to derive the logarithms we would find ...
45 After the very fame manner the hyperbolic logarithm of any other number may
be determined ; ' / but , as the series converges , nower and flower , the higher we
go , it is usual , in computing of tables , * to derive the logarithms we would find ...
Side 46
Let the hyperbolic logarithm of 1o be required The logarithms of 8 and 9 being
given , from those of 2 and 3 ( already found ) , a may , here , be = 8 , b = 9 and c
= 10 ; and then x ( ) being 200-1 x ” we shall have { S ( x + * + & c . ) 161 3 5 ...
Let the hyperbolic logarithm of 1o be required The logarithms of 8 and 9 being
given , from those of 2 and 3 ( already found ) , a may , here , be = 8 , b = 9 and c
= 10 ; and then x ( ) being 200-1 x ” we shall have { S ( x + * + & c . ) 161 3 5 ...
Side 47
tiplying the hyperbolic logarithm of the same number by the fraction , 434294481
& c . which is the proper modulus of this ... às 2,302585092 & c . the hyperbolic
log . of 10 ( above found ) is to ( H ) the hyperbolic logarithm of any other number
...
tiplying the hyperbolic logarithm of the same number by the fraction , 434294481
& c . which is the proper modulus of this ... às 2,302585092 & c . the hyperbolic
log . of 10 ( above found ) is to ( H ) the hyperbolic logarithm of any other number
...
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Vanlige uttrykk og setninger
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Bibliografisk informasjon
| Tittel | Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. Eighteenth century collections online |
| Forfatter | Thomas Simpson |
| Utgave | 5 |
| Utgiver | F. Wingrave, successor to Mr. Nourse, 1799 |
| Original fra | The British Library |
| Digitalisert | 30. sep 2016 |
| Lengde | 79 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |