## Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |

### Inni boken

Side 3

The periphery of every circle is supposed to be divided into 360 equal parts ;

called degrees ; and each degree into 60 equal parts , called

The periphery of every circle is supposed to be divided into 360 equal parts ;

called degrees ; and each degree into 60 equal parts , called

**minutes**; and each**minute**into 60. equal parts , called seconds , or second**minutes**, & c . Bz 3. Side 16

Thus , if the sine of s ' be required , it will be , 15 " : 11 : : , 004363312 ; ,

CC0290888 , the line of the arch of one

the fine of more exactly determined ( from which the fines of other arches may be

derived ...

Thus , if the sine of s ' be required , it will be , 15 " : 11 : : , 004363312 ; ,

CC0290888 , the line of the arch of one

**minute**, nearly . But if you would havethe fine of more exactly determined ( from which the fines of other arches may be

derived ...

Side 17

The fines of every degree and

above 60 ° will be had by addition only ( from Theor . 2. p . 15. ) then , the fines

being all known , the tangents and fecants will likewise become known , by Prop .

1 .

The fines of every degree and

**minute**, up to 60 ° , being thus found ; those ofabove 60 ° will be had by addition only ( from Theor . 2. p . 15. ) then , the fines

being all known , the tangents and fecants will likewise become known , by Prop .

1 .

Side 18

... thus derived , the next thing is to find , by help of these , the lines of all the

intermediate arches , to every single

degrees and

proportional ...

... thus derived , the next thing is to find , by help of these , the lines of all the

intermediate arches , to every single

**minute**. ... enough where nothing less thandegrees and

**minutes**is regarded ) , may be effected by barely taking theproportional ...

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

... 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 ...### Hva folk mener - Skriv en omtale

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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