Trigonometry, Plane and Spherical;: With the Construction and Application of Logarithms |
Inni boken
Resultat 1-5 av 5
Side 30
B Hence it follows , that , in right angled spherical triangles ABC , DBC , having
the same perD pendicular BC , the lines of the bases will be to each other ,
inversely , as the tangents of the angles at the bases : For s radius : finé AB :: tang
.
B Hence it follows , that , in right angled spherical triangles ABC , DBC , having
the same perD pendicular BC , the lines of the bases will be to each other ,
inversely , as the tangents of the angles at the bases : For s radius : finé AB :: tang
.
Side 32
But by the preceding lemma ) co - fine AC + co - sine BC : co - fine AC - co - fine
BC :: co - tang . AC + BC AC - BC : tang and co - fine AD + co - fine BD : co - fine
ADAD + BD co - fine BD :: co - tang . of AE AD - BD DE ; whence , by equality , co
...
But by the preceding lemma ) co - fine AC + co - sine BC : co - fine AC - co - fine
BC :: co - tang . AC + BC AC - BC : tang and co - fine AD + co - fine BD : co - fine
ADAD + BD co - fine BD :: co - tang . of AE AD - BD DE ; whence , by equality , co
...
Side 36
co - line AC :: tang . A ' : co - tang . ACD ; but ( by Cor . 2. 10 Tbeor , 2. ) as tang .
BC : tang . AC :: co - fine ACD : co - fine BCD . Whence ACB : = ACD + BCD is
known . The other fide AB Two sides AC , BC and an angle opposite to one of
them ...
co - line AC :: tang . A ' : co - tang . ACD ; but ( by Cor . 2. 10 Tbeor , 2. ) as tang .
BC : tang . AC :: co - fine ACD : co - fine BCD . Whence ACB : = ACD + BCD is
known . The other fide AB Two sides AC , BC and an angle opposite to one of
them ...
Side 37
A : co - tang . ACD ( by Tbeor.g . ) whence BCD is also known ; then ( by Cor . to
Tbeor . 3. ) as fine ACD : fine BCD : : co - fine A : co - fine B. Two angles A , Either
of the ACB and the other sides , 7 lide AC be suppose BC twixt them As rad .
A : co - tang . ACD ( by Tbeor.g . ) whence BCD is also known ; then ( by Cor . to
Tbeor . 3. ) as fine ACD : fine BCD : : co - fine A : co - fine B. Two angles A , Either
of the ACB and the other sides , 7 lide AC be suppose BC twixt them As rad .
Side 72
AB — Co - f , AC . But the radius may be considered as the sine of an arch of 90 °
, or the co - fine of o : and , therefore , since ( by the lemma in P. 30. ) co - sine o +
co - line BC : co - f.o - Co - f , BC + 0 BC Q BC :: co - tang . : tang : ; and , cofine ...
AB — Co - f , AC . But the radius may be considered as the sine of an arch of 90 °
, or the co - fine of o : and , therefore , since ( by the lemma in P. 30. ) co - sine o +
co - line BC : co - f.o - Co - f , BC + 0 BC Q BC :: co - tang . : tang : ; and , cofine ...
Hva folk mener - Skriv en omtale
Vi har ikke funnet noen omtaler på noen av de vanlige stedene.
Andre utgaver - Vis alle
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1748 |
Trigonometry: Plane and Spherical; with the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1799 |
Trigonometry, Plane and Spherical: With the Construction and Application of ... Thomas Simpson Uten tilgangsbegrensning - 1799 |
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 |