Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
Inni boken
Resultat 1-5 av 5
Side 17
With the Construction and Application of Logarithms Thomas Simpson. Prop . 1.
which let be denoted by C ; then ( by . Theor . I. p . 13. ) we shall have 2C x sine 1
' line o ' = sine 2 ' . 2C x fine 2 ' sine 1 ' = sine 3 : 2C x sine 3 fine 2 ' = sine 4 ' .
With the Construction and Application of Logarithms Thomas Simpson. Prop . 1.
which let be denoted by C ; then ( by . Theor . I. p . 13. ) we shall have 2C x sine 1
' line o ' = sine 2 ' . 2C x fine 2 ' sine 1 ' = sine 3 : 2C x sine 3 fine 2 ' = sine 4 ' .
Side 44
... in the foregoing series 2x + 2x + & 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 2 . Here x being = = , and * ; we 2 + 1 shall have 245 2 · I
: + ) - .
... in the foregoing series 2x + 2x + & 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 2 . Here x being = = , and * ; we 2 + 1 shall have 245 2 · I
: + ) - .
Side 45
Let a , b and c denote any three numbers in arithmetical progression , whose
common difference is unity ; then , a being and c = 6 + 1 , we shall have ac = b2 -
1 , and conba ac + I sequently Whence , by the nature of logarithms , we likewise
...
Let a , b and c denote any three numbers in arithmetical progression , whose
common difference is unity ; then , a being and c = 6 + 1 , we shall have ac = b2 -
1 , and conba ac + I sequently Whence , by the nature of logarithms , we likewise
...
Side 47
7 = 2 log . 8 R33 R.x5 S ( by the Theor . ) , S being = Rx tt 3 5 64-63 & c . ( = the
common log . of and x 63 64 +63 : whence ( x2 being we shall have 127 16129 -
log . 9 I 16129 ) R * 8685 & c . = , 006839283 & c . Construction of Logarithms .
47.
7 = 2 log . 8 R33 R.x5 S ( by the Theor . ) , S being = Rx tt 3 5 64-63 & c . ( = the
common log . of and x 63 64 +63 : whence ( x2 being we shall have 127 16129 -
log . 9 I 16129 ) R * 8685 & c . = , 006839283 & c . Construction of Logarithms .
47.
Side 70
I ( ACD ) : radius ; therefore , by compounding this proportion with the last but one
, we shall have , EIX EF : EI X CG :: tang . ACD X radius : tang . Qx radius ( by 11.
4. ) and consequently EF : 2CG ( AC + BC ) :: tang . ACD : tang . Q. W bence ...
I ( ACD ) : radius ; therefore , by compounding this proportion with the last but one
, we shall have , EIX EF : EI X CG :: tang . ACD X radius : tang . Qx radius ( by 11.
4. ) and consequently EF : 2CG ( AC + BC ) :: tang . ACD : tang . Q. W bence ...
Hva folk mener - Skriv en omtale
Vi har ikke funnet noen omtaler på noen av de vanlige stedene.
Andre utgaver - Vis alle
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1748 |
Trigonometry: Plane and Spherical; with the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1799 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1799 |
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