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 4
A chord , or subtense , is a right - line drawn from one extremity of an arch to the
other : thus the right line BE is the chord , or subrense , of the arch BAE or BDE . 6
. The fine , or right - fine , of an arch , is a right line drawn from one extremity of ...
A chord , or subtense , is a right - line drawn from one extremity of an arch to the
other : thus the right line BE is the chord , or subrense , of the arch BAE or BDE . 6
. The fine , or right - fine , of an arch , is a right line drawn from one extremity of ...
Side 15
COROLLARY II . Hence , if ' the mean arch AC ' be supposed that of 60 ° ; then Of
being the co - fine of 60 ° , = ' sine 30 ° = 1 chord of 60 " = TOC , it is manifest that
DG - BE will , in this case , be barely = Dm ; and consequently DG = Dm + BE .
COROLLARY II . Hence , if ' the mean arch AC ' be supposed that of 60 ° ; then Of
being the co - fine of 60 ° , = ' sine 30 ° = 1 chord of 60 " = TOC , it is manifest that
DG - BE will , in this case , be barely = Dm ; and consequently DG = Dm + BE .
Side 16
It is found , in p : 181. of the Elements , that the length of the chord of $ # of the
semi - periphery , is expreffed by , 00818121 ( radius being unity ) ; therefore , as
the chords of very finall arches are to each other nearly as the arches themselves
...
It is found , in p : 181. of the Elements , that the length of the chord of $ # of the
semi - periphery , is expreffed by , 00818121 ( radius being unity ) ; therefore , as
the chords of very finall arches are to each other nearly as the arches themselves
...
Side 17
... but in many other respects . First , then , from the co - fine of 15 ° , which is
given ( by p . 181 of the Elements ) = įv 2 + 1 3 = 965925826 , & c . ( = the
supplement chord of 30 ° ) and the line of 18 ° , which is = VI- = с 23090172 ,
309017 , & c .
... but in many other respects . First , then , from the co - fine of 15 ° , which is
given ( by p . 181 of the Elements ) = įv 2 + 1 3 = 965925826 , & c . ( = the
supplement chord of 30 ° ) and the line of 18 ° , which is = VI- = с 23090172 ,
309017 , & c .
Side 31
... and also the chord CB , meeting OE in E and OA ( produced ) in P ; draw ES
parallel to AO , meeting CH in S , and EF and OK perpendicular to AO , and let
the latter meet EC ( produced ) in I ; lastly , draw QDK perpendicular to OD ,
meeting ...
... and also the chord CB , meeting OE in E and OA ( produced ) in P ; draw ES
parallel to AO , meeting CH in S , and EF and OK perpendicular to AO , and let
the latter meet EC ( produced ) in I ; lastly , draw QDK perpendicular to OD ,
meeting ...
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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 |