Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
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Side 14
C If there be three equidifferent arches AB , AC , AD , it will be , as radius is to the
co - fine of their common difference BC , or CD , so is the fine CF , of the mean , to
half the sum of the fines BE + DG , of the two extremes : and , as radius to the ...
C If there be three equidifferent arches AB , AC , AD , it will be , as radius is to the
co - fine of their common difference BC , or CD , so is the fine CF , of the mean , to
half the sum of the fines BE + DG , of the two extremes : and , as radius to the ...
Side 17
... 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 the first lix
places true in each number ; which is suffi . ciently exact for all common purposes
...
... 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 the first lix
places true in each number ; which is suffi . ciently exact for all common purposes
...
Side 47
Hx , 434294481 & c . the common logarithm of the same number . But ( to avoid a
tedious multiplication , which will always be required when a great degree of
accuracy is insisted on ) the best way to find the logarithms of this form is from the
...
Hx , 434294481 & c . the common logarithm of the same number . But ( to avoid a
tedious multiplication , which will always be required when a great degree of
accuracy is insisted on ) the best way to find the logarithms of this form is from the
...
Side 48
the common logarithm of 7 , required . But the same conclufion may be brought
out by fewer terms of the series , if the ' logarithins of the three first primes 2 , 3
and 5 be fupposed known ; because those of 48 and 50 ( which are composed of
...
the common logarithm of 7 , required . But the same conclufion may be brought
out by fewer terms of the series , if the ' logarithins of the three first primes 2 , 3
and 5 be fupposed known ; because those of 48 and 50 ( which are composed of
...
Side
THE DOCTRINE AND APPLICATION OF FLUXIONS ; containing ( besides what
is common on the Subject ) a Number of new Improvements in the Theory , and
the Solution of a Variety of new and very interesting Problems in different ...
THE DOCTRINE AND APPLICATION OF FLUXIONS ; containing ( besides what
is common on the Subject ) a Number of new Improvements in the Theory , and
the Solution of a Variety of new and very interesting Problems in different ...
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Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1748 |
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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