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 17
... all common purposes . SCHOLIUM . Although what has been hitherto laid
down for constructing the trigonometrical - canon , is abundantly fufficient for that
purpose , and is also very easily demonstrated ; yet , as the first fine , from
whence ...
... all common purposes . SCHOLIUM . Although what has been hitherto laid
down for constructing the trigonometrical - canon , is abundantly fufficient for that
purpose , and is also very easily demonstrated ; yet , as the first fine , from
whence ...
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 47
H® , 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 ...
H® , 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 fame conclusion may be brought out
by fewer terms of the series , if the logarithms of the three first primes 2 , 3 and 5
be sup- . pored known ; because those of 48 and 50 ( which are composed of ...
the common logarithm of 7 required . But the fame conclusion may be brought out
by fewer terms of the series , if the logarithms of the three first primes 2 , 3 and 5
be sup- . pored known ; because those of 48 and 50 ( which are composed of ...
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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