Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
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Side 30
In any right - angled Spherical triangle it will be , as radius is to the co - fone of
the bypothenuse , so is the tangent of ... E. D. LE M M A. As the sum of the fines of
two unequat arches is to their difference , so is the tangent of half the Sum of ...
In any right - angled Spherical triangle it will be , as radius is to the co - fone of
the bypothenuse , so is the tangent of ... E. D. LE M M A. As the sum of the fines of
two unequat arches is to their difference , so is the tangent of half the Sum of ...
Side 31
In any spherical triangle ABC it will be , as the co - tangent of half the sum of the
two fides is to the tangent of half their difference , so is the co - tångent of half the
base to the tangent of the distance ( DE ) of the perpendicular from the middle of
...
In any spherical triangle ABC it will be , as the co - tangent of half the sum of the
two fides is to the tangent of half their difference , so is the co - tångent of half the
base to the tangent of the distance ( DE ) of the perpendicular from the middle of
...
Side 32
DE ; or , that the tangent of half the base , is to the tangent of half the sum of the
sides , as the tangent of balf the difference of the sides , to the tangent 2 2 tangent
of the distance of the perpendicular from the middle 32 Spherical Trigonometry :
DE ; or , that the tangent of half the base , is to the tangent of half the sum of the
sides , as the tangent of balf the difference of the sides , to the tangent 2 2 tangent
of the distance of the perpendicular from the middle 32 Spherical Trigonometry :
Side 33
tangent of the distance of the perpendicular from the middle of the base .
THEOREM VII . In any Spherical triangle ABC , it will be , as the co - tangent of
half the sum of the angles at tbe base , is to the tangent of half their difference , so
is the ...
tangent of the distance of the perpendicular from the middle of the base .
THEOREM VII . In any Spherical triangle ABC , it will be , as the co - tangent of
half the sum of the angles at tbe base , is to the tangent of half their difference , so
is the ...
Side 74
... DE BC lity ) tang : tang . :: tang 2 2 AE + AC AE - AC : that is , As the tan: tang 2
2 gent of b : ! f the sum of the two perpendiculars , is to the tangent of half their
difference ; so is the tangent of half the fun of the two hypotbenuses , to the
tangent ...
... DE BC lity ) tang : tang . :: tang 2 2 AE + AC AE - AC : that is , As the tan: tang 2
2 gent of b : ! f the sum of the two perpendiculars , is to the tangent of half their
difference ; so is the tangent of half the fun of the two hypotbenuses , to the
tangent ...
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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 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
Bibliografisk informasjon
| Tittel | Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms, Thomas Simpson |
| Forfatter | Thomas Simpson |
| Bidragsyter | John Nourse |
| Utgiver | J. Nourse, bookseller in ordinary to his Majesty., 1765 |
| Original fra | Oxford University |
| Digitalisert | 27. feb 2009 |
| Lengde | 79 sider |
| Eksporter sitat | BiBTeX EndNote RefMan |