Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
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Resultat 1-5 av 5
Side 29
I. Cafe 1. it will be , radius : fine C :: sine CF : sine EF ; that is , radius : sine C :: co
- line BC : co - line A. 2. E. D. COROLLARY . Hence , in right - angled spherical
triangles ABC , CBD , having the same perpendicular BC ( see the last figure ) ...
I. Cafe 1. it will be , radius : fine C :: sine CF : sine EF ; that is , radius : sine C :: co
- line BC : co - line A. 2. E. D. COROLLARY . Hence , in right - angled spherical
triangles ABC , CBD , having the same perpendicular BC ( see the last figure ) ...
Side 34
With the Construction and Application of Logarithms Thomas Simpson. B The
solution of the cases of right - angled Spherical triangles . Cafe site leg Given
Sought Solution . The hyp . The oppo- As radius : fine hyp . AC :: I JAC and one
sine A ...
With the Construction and Application of Logarithms Thomas Simpson. B The
solution of the cases of right - angled Spherical triangles . Cafe site leg Given
Sought Solution . The hyp . The oppo- As radius : fine hyp . AC :: I JAC and one
sine A ...
Side 35
One leg The oppo- As radius : fine A :: 008 AB and the site angle fine of AB : co -
fine of C ( by adjacent C angle A One leg The hyp . As co - fine of A : radius ::
ABand the AC tang . AB : tang . AC ( by 9 adjacent Theor . 1. ) angle A One leg
The ...
One leg The oppo- As radius : fine A :: 008 AB and the site angle fine of AB : co -
fine of C ( by adjacent C angle A One leg The hyp . As co - fine of A : radius ::
ABand the AC tang . AB : tang . AC ( by 9 adjacent Theor . 1. ) angle A One leg
The ...
Side 67
With the Construction and Application of Logarithms Thomas Simpson. ( by Tbeor
. 1. ) OD ( 2 ) : CD ( 6 ) :: radius : sine DOC ; whofe half is equal to A , or BDC ( by
10. 3. ) But , as radius : tang . BDC :: DC ( 6 ) : BC ; or , as radius : co - tang .
With the Construction and Application of Logarithms Thomas Simpson. ( by Tbeor
. 1. ) OD ( 2 ) : CD ( 6 ) :: radius : sine DOC ; whofe half is equal to A , or BDC ( by
10. 3. ) But , as radius : tang . BDC :: DC ( 6 ) : BC ; or , as radius : co - tang .
Side 70
I ( ACD ) : radius ; therefore , by compounding this proportion with the last but one
, we shall have , EIX EF : EI X CG :: tang . ACD X radius : tang . Qx radius ( by 11.
4. ) and consequently EF : 2CG ( AC + BC ) :: tang . ACD : tang . Q. W bence ...
I ( ACD ) : radius ; therefore , by compounding this proportion with the last but one
, we shall have , EIX EF : EI X CG :: tang . ACD X radius : tang . Qx radius ( by 11.
4. ) and consequently EF : 2CG ( AC + BC ) :: tang . ACD : tang . Q. W bence ...
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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