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 5
But , first of all , it will be proper to observe , that the fine of any arch Ab greater
than 90 ° . is equal to the line of another arch AB as much below 90 ' ; and that ,
its co - line Cf ; tangent Ag , and secant Cg , are also respectively equal to the co
...
But , first of all , it will be proper to observe , that the fine of any arch Ab greater
than 90 ° . is equal to the line of another arch AB as much below 90 ' ; and that ,
its co - line Cf ; tangent Ag , and secant Cg , are also respectively equal to the co
...
Side 19
... to the sum , add the first remainder ; to this sumn add the next remainder , and
so on continually : then the several sums thus arising will respectively exhibit the
fines of all the intermediate arches , to every single minute , exclusive of the last ...
... to the sum , add the first remainder ; to this sumn add the next remainder , and
so on continually : then the several sums thus arising will respectively exhibit the
fines of all the intermediate arches , to every single minute , exclusive of the last ...
Side 39
Thus , if an = 2 , and a " = 3 , then will m and n be logarithms of the numbers 2
and 3 respectively . Hence it is evident , that what bas been above per cified , in
relation to the properties of the indices of powers , is equally true in the
logarithms of ...
Thus , if an = 2 , and a " = 3 , then will m and n be logarithms of the numbers 2
and 3 respectively . Hence it is evident , that what bas been above per cified , in
relation to the properties of the indices of powers , is equally true in the
logarithms of ...
Side 44
3 Which values being respectively divided by the numbers , 1 , 3 , 5 , 7 , 9 , & c .
and the several quotients added together , ( see the general series ) we shall
have , 346573590 & c . whose double , being , 69314718 ...
3 Which values being respectively divided by the numbers , 1 , 3 , 5 , 7 , 9 , & c .
and the several quotients added together , ( see the general series ) we shall
have , 346573590 & c . whose double , being , 69314718 ...
Side 73
ACB -A ) and S. A + ACB - 90 ° respectively . Whence it appears , that , As the co -
tangent of half the bypothenuse , is to its tangent ; so is the co - line of the
difference of the angles at the hypothenuse , to the fine of the excess of their sum
...
ACB -A ) and S. A + ACB - 90 ° respectively . Whence it appears , that , As the co -
tangent of half the bypothenuse , is to its tangent ; so is the co - line of the
difference of the angles at the hypothenuse , to the fine of the excess of their sum
...
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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 |