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 15
If the fine of the mean , of three equidifferent arches ( supposing radius unity ) be
multiplied by twice the co - line of the common difference , and the line of either
extreme be subtracted from the produet , the remainder will be the fine of the ...
If the fine of the mean , of three equidifferent arches ( supposing radius unity ) be
multiplied by twice the co - line of the common difference , and the line of either
extreme be subtracted from the produet , the remainder will be the fine of the ...
Side 16
It is found , in p : 181. of the Elements , that the length of the chord of $ # of the
semi - periphery , is expreffed by , 00818121 ( radius being unity ) ; therefore , as
the chords of very finall arches are to each other nearly as the arches themselves
...
It is found , in p : 181. of the Elements , that the length of the chord of $ # of the
semi - periphery , is expreffed by , 00818121 ( radius being unity ) ; therefore , as
the chords of very finall arches are to each other nearly as the arches themselves
...
Side 18
Note , The co - fine of the difference of two arches ( supposing radius unity ) , is
found by adding the produ & t of their fines to tbat of their co - fines ; as is
hereafter demonstrated . 3 20. From 2o . From this excess let the first product be
18 ...
Note , The co - fine of the difference of two arches ( supposing radius unity ) , is
found by adding the produ & t of their fines to tbat of their co - fines ; as is
hereafter demonstrated . 3 20. From 2o . From this excess let the first product be
18 ...
Side 39
These are the properties of the indices of a geometrical progression ; which
being universally true , let the common ratio be now supposed indefinitely near to
that of equality , or the excess of a above unity , indefinitely little ; so that some
term ...
These are the properties of the indices of a geometrical progression ; which
being universally true , let the common ratio be now supposed indefinitely near to
that of equality , or the excess of a above unity , indefinitely little ; so that some
term ...
Side 45
Let a , b and c denote any three numbers in arithmetical progreffion , whose
common difference is unity , then , a being = b - I and cab + 1 , we shall have ac =
b - I , and conac + I sequently + Whence , by the nature of logarithms , we "
likewise ...
Let a , b and c denote any three numbers in arithmetical progreffion , whose
common difference is unity , then , a being = b - I and cab + 1 , we shall have ac =
b - I , and conac + I sequently + Whence , by the nature of logarithms , we "
likewise ...
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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 demonſtrated determine diameter difference divided drawn Edition equal equal to half evident exceſs extremes fame fides fine fines firſt follows given gives gles great-circles greater half the difference half the ſum Hence hyperbolic logarithm hypothenuſe known laſt logarithm manifeſt meeting method minute Moreover natural Note oppoſite parallel perpendicular plane triangle ABC preceding PROP proportion propoſed radius reſpectively ſame ſecant ſee ſeries ſhall ſides ſince ſine 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. 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 |