## Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |

### Inni boken

Side 5

... and CK are the cotangent and co - secant of AB . 12. A trigonometrical cahon is

a table exhibiting the length of the fine , tangent , and secant , to every degree

and minute of the quadrant , with respect to the radius ; which is supposed

... and CK are the cotangent and co - secant of AB . 12. A trigonometrical cahon is

a table exhibiting the length of the fine , tangent , and secant , to every degree

and minute of the quadrant , with respect to the radius ; which is supposed

**unity**... Side 18

Note , The co - fine of the difference of two arches ( fuppofing radius

found by adding the product of their fines to that of their co - fines ; as is hereafter

demonstrated . 2o . From tremes , will be , 0002904915 , the excels of 18 ...

Note , The co - fine of the difference of two arches ( fuppofing radius

**unity**) , isfound by adding the product of their fines to that of their co - fines ; as is hereafter

demonstrated . 2o . From tremes , will be , 0002904915 , the excels of 18 ...

Side 38

... a , & c . be a geometrical progression whose first term is

ratio any given quantity a . Then it is manifeft , 1. That , the sum of the indices of

any two terms of the progression is equal to the index of the produa of those

terms .

... a , & c . be a geometrical progression whose first term is

**unity**, and commonratio any given quantity a . Then it is manifeft , 1. That , the sum of the indices of

any two terms of the progression is equal to the index of the produa of those

terms .

Side 39

These are the properties of the indices of a geo : metrical progression , which

being universally true , let the common ratio be now supposed indefinitely near to

that of equality , or the excess of a above

term ...

These are the properties of the indices of a geo : metrical 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 someterm ...

Side 42

... had recourse to , in order to obtain a series that will always converge . I - I -

First , then , let the number whose logarithm you would find be denoted by ;

where it is manifest ( however great that number may be ) x will be always less

than

... had recourse to , in order to obtain a series that will always converge . I - I -

First , then , let the number whose logarithm you would find be denoted by ;

where it is manifest ( however great that number may be ) x will be always less

than

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### 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