Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
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Side 27
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. B For let BC be perpendicular to AD ;
s since ? radius : fine D :: fine DC : line BC by the ? former part of the theorem ;
we ...
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. B For let BC be perpendicular to AD ;
s since ? radius : fine D :: fine DC : line BC by the ? former part of the theorem ;
we ...
Side 32
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. DEMONSTRATION . Since co - fine
AC : co - fine BC :: co - fine AD ' : co - fine BD ( by Cor . to Tbeor . 2. ) therefore ,
by ...
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. DEMONSTRATION . Since co - fine
AC : co - fine BC :: co - fine AD ' : co - fine BD ( by Cor . to Tbeor . 2. ) therefore ,
by ...
Side 72
By Thomas Simpson, F.R.S. Thomas Simpson. PROP . XXI . One leg BC and the
fun , or difference , of the bypothenuse and the other leg AB being given , to
determine the hypothenuse ( see the last figure . ) BC : : co - tang . : tàng Since
rad .
By Thomas Simpson, F.R.S. Thomas Simpson. PROP . XXI . One leg BC and the
fun , or difference , of the bypothenuse and the other leg AB being given , to
determine the hypothenuse ( see the last figure . ) BC : : co - tang . : tàng Since
rad .
Side 74
... spherical triangles ABC , ADE , having the fame angle A at the base , let there
be given the two perpendiculars BC , DE and the sum or difference of the bases
AB , AD , to determine the bases ( see the preceding figure . ) Since Belt 1 Since
...
... spherical triangles ABC , ADE , having the fame angle A at the base , let there
be given the two perpendiculars BC , DE and the sum or difference of the bases
AB , AD , to determine the bases ( see the preceding figure . ) Since Belt 1 Since
...
Side 75
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. Since T. DE : T. BC :: S. AD : S. AB (
by Theor . 4. and equality ) ; therefore is T. DE + T. BC : T . DE- T.BC :: S. AD + S .
AB ...
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. Since T. DE : T. BC :: S. AD : S. AB (
by Theor . 4. and equality ) ; therefore is T. DE + T. BC : T . DE- T.BC :: S. AD + S .
AB ...
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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 |