Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
Inni boken
Resultat 1-3 av 3
Side 5
The secant of an arch is a right - line reaching , without the circle , from the center
to the extremity of the tangent . Thus CG is the secant of AB . 11. The co - tangent
, and co - secant , of an arch are the tangent , and secant , of the complement of ...
The secant of an arch is a right - line reaching , without the circle , from the center
to the extremity of the tangent . Thus CG is the secant of AB . 11. The co - tangent
, and co - secant , of an arch are the tangent , and secant , of the complement of ...
Side 12
... to find its cofine , versed fine , tangent , fo - tangent , secant , and Co - fecant .
T D H E Let AE be the proposed arch , EF its fine , CF its co - fine , AF its versed
line , AT its tangent , CT its fecant , DH its co - tangent , and CH its co - fecant .
... to find its cofine , versed fine , tangent , fo - tangent , secant , and Co - fecant .
T D H E Let AE be the proposed arch , EF its fine , CF its co - fine , AF its versed
line , AT its tangent , CT its fecant , DH its co - tangent , and CH its co - fecant .
Side 13
CF : CE ( CA ) :: CA : CT ; whence the secant is known . 3. EF : CF :: CD : DH ;
whence the co - tangent is known . 1 4. EF : EC ( CD ) :: CD : CH ; whence the co
- secant is known . Hence it appears , 1. That the tangent is a fourth proportional
to ...
CF : CE ( CA ) :: CA : CT ; whence the secant is known . 3. EF : CF :: CD : DH ;
whence the co - tangent is known . 1 4. EF : EC ( CD ) :: CD : CH ; whence the co
- secant is known . Hence it appears , 1. That the tangent is a fourth proportional
to ...
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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 |