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 8
In any plane triangle , it will be , as the sum of any two sides is to their difference ,
so is the tangent of half the sum of the two opposite angles , to the tangent of balf
their difference . T C For , let ABC be the triangle , and AB and AC the А. two ...
In any plane triangle , it will be , as the sum of any two sides is to their difference ,
so is the tangent of half the sum of the two opposite angles , to the tangent of balf
their difference . T C For , let ABC be the triangle , and AB and AC the А. two ...
Side 14
... of their common difference BC , or CD , so is the fine CF , of the snean , to balf
the sum of the fines BE + DG , of the two extremes : and , as radius to the fine of
the commun difference , fo is the co - fine FO of the mean , to half the difference of
...
... of their common difference BC , or CD , so is the fine CF , of the snean , to balf
the sum of the fines BE + DG , of the two extremes : and , as radius to the fine of
the commun difference , fo is the co - fine FO of the mean , to half the difference of
...
Side 61
As the base of any plane triangle ABC , is to the fum of the two sides , so is the
fire of half the vertical angle , to the ca - fine of half the difference of the angles at
the base . + F In AC , produced , take CD = CB ; join B , D , and draw CE E
parallel ...
As the base of any plane triangle ABC , is to the fum of the two sides , so is the
fire of half the vertical angle , to the ca - fine of half the difference of the angles at
the base . + F In AC , produced , take CD = CB ; join B , D , and draw CE E
parallel ...
Side 62
therefore ABD , being the excess of the greater CBA above the half fum , must
consequently be equal to half the difference of the fame angles . But ( by Theor .
3. ) AB : AD ( AC - BĆ ) :: sine D ( co - fine DCE , or { C ) : sine ABD . 2. E. D. .
therefore ABD , being the excess of the greater CBA above the half fum , must
consequently be equal to half the difference of the fame angles . But ( by Theor .
3. ) AB : AD ( AC - BĆ ) :: sine D ( co - fine DCE , or { C ) : sine ABD . 2. E. D. .
Side 78
As the rectangle of the lines of the two sides , including the proposed angle , is to
the rectangle under the fines of half the base plus half the difference of the sides ,
and half the base minus balf the difference of the sides ; fo is the Square of ...
As the rectangle of the lines of the two sides , including the proposed angle , is to
the rectangle under the fines of half the base plus half the difference of the sides ,
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 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 |