Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
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Resultat 1-5 av 5
Side 33
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
half the vertical angle , to the tangent of the angle which the perpendicular CD ...
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
half the vertical angle , to the tangent of the angle which the perpendicular CD ...
Side 61
With the Construction and Application of Logarithms Thomas Simpson. PROP .
VII . As the base of any plane triangle ABC , is to the fum of the two fides , so is
the fine of half the vertical angle , to the co - fine of balf the difference of the
angles at ...
With the Construction and Application of Logarithms Thomas Simpson. PROP .
VII . As the base of any plane triangle ABC , is to the fum of the two fides , so is
the fine of half the vertical angle , to the co - fine of balf the difference of the
angles at ...
Side 62
... that CDB and CBD are equal to one another , and that each of them is also
equal to half the sum of the angles CBA and ... from the vertex ) , so is the fine of
half the vertical angle , to the co - fine of half the difference of the angles at the
base .
... that CDB and CBD are equal to one another , and that each of them is also
equal to half the sum of the angles CBA and ... from the vertex ) , so is the fine of
half the vertical angle , to the co - fine of half the difference of the angles at the
base .
Side 63
As the tangent of the vertical angle C of a plane triangle ABC , is to radius , so is
half the base AB to a fourth ... above the said fourthproportional , so is the fine of
the vertical angle , to the co - fine of the difference of the angles at the base .
As the tangent of the vertical angle C of a plane triangle ABC , is to radius , so is
half the base AB to a fourth ... above the said fourthproportional , so is the fine of
the vertical angle , to the co - fine of the difference of the angles at the base .
Side 68
In any plane triangle ABC , it will be , as the line CE bileeting the vertical angle ,
is to the base AB , so is the secant of half the vertical angle ACB , to the tangent of
an angle ; and , as the tangent of half this angle is to radius , so is the fine of balf ...
In any plane triangle ABC , it will be , as the line CE bileeting the vertical angle ,
is to the base AB , so is the secant of half the vertical angle ACB , to the tangent of
an angle ; and , as the tangent of half this angle is to radius , so is the fine of balf ...
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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 |