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 8
Now , because of the parallel - lines BF and ED , it will be CF : CD :: BF : DE , but
BF and DE , because DBF and BDE are right - angles ( by : 13.3 : and 7. 1. ) will
be tangents of the foresaid angles FDB ( ADB ) and DBE ( DBC ) to the radius BD
...
Now , because of the parallel - lines BF and ED , it will be CF : CD :: BF : DE , but
BF and DE , because DBF and BDE are right - angles ( by : 13.3 : and 7. 1. ) will
be tangents of the foresaid angles FDB ( ADB ) and DBE ( DBC ) to the radius BD
...
Side 14
... half their difference . But , because of the similar triangles OCF , Omn and Dum
, It will be SOC : 0m :: CF : mn ? OC :: Dm :: FO : Du & E. D.
COROLCOROLLARYTI . 2 . Because of the foregoing proportions , we 14
Consiruelion of the Table.
... half their difference . But , because of the similar triangles OCF , Omn and Dum
, It will be SOC : 0m :: CF : mn ? OC :: Dm :: FO : Du & E. D.
COROLCOROLLARYTI . 2 . Because of the foregoing proportions , we 14
Consiruelion of the Table.
Side 40
But we must now obferve , that there are various forms or species of logarithms ;
because it is evident that what has been hitherto said , in respect to the properties
of indices , holds equally true in relation to any equimultiples , or like parts , of ...
But we must now obferve , that there are various forms or species of logarithms ;
because it is evident that what has been hitherto said , in respect to the properties
of indices , holds equally true in relation to any equimultiples , or like parts , of ...
Side 41
ra various it is evi . efpect to in re , f them es and number of terms being
indefinitely small in comparison of n : it is also evident , that they ' may be rejected
in all the rest of the terms of the feries ; because these terms ( by reason of the
indefinite ...
ra various it is evi . efpect to in re , f them es and number of terms being
indefinitely small in comparison of n : it is also evident , that they ' may be rejected
in all the rest of the terms of the feries ; because these terms ( by reason of the
indefinite ...
Side 43
2 3 2 3 4 = ne = the hyperbolic logarithm of Which series , it is manifest , will
always converge , let the value of be ever so great ; because * will be always less
than unity . But it is further obfervable that this series has exactly the same form ...
2 3 2 3 4 = ne = the hyperbolic logarithm of Which series , it is manifest , will
always converge , let the value of be ever so great ; because * will be always less
than unity . But it is further obfervable that this series has exactly the same form ...
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Vanlige uttrykk og setninger
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