Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
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Resultat 1-5 av 5
Side 9
2 : tang 2 2 As the lefser of the proposed fides ( Ab or AB ) is to the greater ( AC ) ,
jo iş radius to the tangent of an angle ( AbC , see Theor . 2. ) And as radius to the
tangent of the excess of this angle above 45 ° , so is the tangent of half the sum ...
2 : tang 2 2 As the lefser of the proposed fides ( Ab or AB ) is to the greater ( AC ) ,
jo iş radius to the tangent of an angle ( AbC , see Theor . 2. ) And as radius to the
tangent of the excess of this angle above 45 ° , so is the tangent of half the sum ...
Side 30
... as radius is to the co - fine of the hypothenuse , so is the tangent of either angle
to the co - tangent of the otber angle . ... difference , so is the co - tangent of half
the sum of the arches to the tangent of half the difference of the Jame arches .
... as radius is to the co - fine of the hypothenuse , so is the tangent of either angle
to the co - tangent of the otber angle . ... difference , so is the co - tangent of half
the sum of the arches to the tangent of half the difference of the Jame arches .
Side 31
In any spherical triangle ABC it will be , as the to - tangent of balf the sum of the
two fides is to the tangent of half their difference , so is the co - tangent of balf 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 to - tangent of balf the sum of the
two fides is to the tangent of half their difference , so is the co - tangent of balf 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 half the difference of the sides , to the tangent mm .
tangent of the distance of the perpendicular from 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 half the difference of the sides , to the tangent mm .
tangent of the distance of the perpendicular from 32 Spherical Trigonometry .
Side 33
mm . 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 the base , is to the tangent of half their difference , so
is ...
mm . 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 the base , is to the tangent of half their difference , so
is ...
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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 |