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

### Inni boken

Resultat 1-5 av 6

Side 3

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

called degrees ; and each degree into 69 equal parts , called ainutes ; and each

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

called degrees ; and each degree into 69 equal parts , called ainutes ; and each

**minute**into 60 equal parts , called Leconds , or second**minutes**,, & c . B 2 3. Side 5

Thus HK 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

supposed ...

Thus HK 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 issupposed ...

Side 16

Thus , if the sine of I'be required , it will be , 15 ' : 1 ' :: , 004363312 : 9000290888 ,

the sine of the arch of one

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

Thus , if the sine of I'be required , it will be , 15 ' : 1 ' :: , 004363312 : 9000290888 ,

the sine of the arch of one

**minute**, nearly . But if you would have the fine of 1 'more exactly determined ( from which the fines of other arches may be derived ...

Side 17

The lines of every degree and

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

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

Prop . 1 .

The lines of every degree and

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

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

Prop . 1 .

Side 18

... thus derived , the next thing is to find , by help of thefe , the fines of all the

intermediate arches , to every single

degrees and

proportional ...

... thus derived , the next thing is to find , by help of thefe , the fines 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 ...

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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