Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
Inni boken
Resultat 1-5 av 5
Side 8
THEOREM V. 1 In any plane triangle , it will be , as the sum of any two fides is to
their difference , so is the tangent of balf the sum of the two opposite angles , to
the tangent of half their difference . 2 B. For , let ABC be the triangle , and AB and
...
THEOREM V. 1 In any plane triangle , it will be , as the sum of any two fides is to
their difference , so is the tangent of balf the sum of the two opposite angles , to
the tangent of half their difference . 2 B. For , let ABC be the triangle , and AB and
...
Side 9
... fides ( Ab or AB ) is to the greater ( AC ) , so is radius to the tangent of an .
angle ( ABC , see Theor . 2. ) And ás radius to the tangent of the excess of this
angle above 45 " , so is the tangent of balf the sum of the required angles . to the
...
... fides ( Ab or AB ) is to the greater ( AC ) , so is radius to the tangent of an .
angle ( ABC , see Theor . 2. ) And ás radius to the tangent of the excess of this
angle above 45 " , so is the tangent of balf the sum of the required angles . to the
...
Side 60
In any plane triangle ABC , it will be , as the base plus the difference of the two
sides , is to the base minus the same difference , so is the tangent of balf the
greater angle at the base , to the tangent of balf the lejer . U D / с In the lefser side
CA ...
In any plane triangle ABC , it will be , as the base plus the difference of the two
sides , is to the base minus the same difference , so is the tangent of balf the
greater angle at the base , to the tangent of balf the lejer . U D / с In the lefser side
CA ...
Side 70
XIX In any plane triangle ABC , it will be , as the perpendicular is to the difference
of the two sides , so is the co - tangent of half the vertical angle , to the tangent of
an angle ; and , as radius is to the co - tangent of balf this angle , so is the ...
XIX In any plane triangle ABC , it will be , as the perpendicular is to the difference
of the two sides , so is the co - tangent of half the vertical angle , to the tangent of
an angle ; and , as radius is to the co - tangent of balf this angle , so is the ...
Side 78
As the rectangle of the fines of the two fides , ina cluding the proposed angle , is
to the rečtangle under tbe fines , of balf the base plus balf the difference of the
fides , and half the base minus balf the difference of the sides ; fo is the square of
...
As the rectangle of the fines of the two fides , ina cluding the proposed angle , is
to the rečtangle under tbe fines , of balf the base plus balf the difference of the
fides , and half the base minus balf the difference of the sides ; fo is the square of
...
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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 |