Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
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Side 27
A : fine D :: fine DC : fine AC ; or sine A : sine DC :: sine D : fine AC . ... For s
radius : co - fine ACB :: tan . AC : tan . BC ? since radius : co - sine DCB :: tan . DC
: tan . BCS by the latter part of the theorem ; we fhall ( by arguing as above ) have
co ...
A : fine D :: fine DC : fine AC ; or sine A : sine DC :: sine D : fine AC . ... For s
radius : co - fine ACB :: tan . AC : tan . BC ? since radius : co - sine DCB :: tan . DC
: tan . BCS by the latter part of the theorem ; we fhall ( by arguing as above ) have
co ...
Side 32
Since co - fine AC : co - fine BC :: co - fine AD ' : co - fine BD ( by Cor . to Tbeor . 2.
) therefore , by compofition and B division , co - fine AC + E F D Co - sine BC : co -
fine AC - Co - sine BC :: co - fine AD + co - fine BD : co . fine AD - Co - sine BD ...
Since co - fine AC : co - fine BC :: co - fine AD ' : co - fine BD ( by Cor . to Tbeor . 2.
) therefore , by compofition and B division , co - fine AC + E F D Co - sine BC : co -
fine AC - Co - sine BC :: co - fine AD + co - fine BD : co . fine AD - Co - sine BD ...
Side 35
la Branderen One leg One leg The oppo - As radius : fine A : : coAB and the site
angle line of AB : co - line of C ( by 8 adjacent с angle A One leg | The hyp . As co
- line of A : radius : : AC Itang . AB : tang . AC ( by 9 adjacent Theor . 1. ) angle A ...
la Branderen One leg One leg The oppo - As radius : fine A : : coAB and the site
angle line of AB : co - line of C ( by 8 adjacent с angle A One leg | The hyp . As co
- line of A : radius : : AC Itang . AB : tang . AC ( by 9 adjacent Theor . 1. ) angle A ...
Side 36
1 2 Two sides ĄC The angle B ( As fine BC : fine A : : fine AC : BC and an an
opposite to fine B ( by Cor . ... A .: co - tang . ACD , but ( by Cor . 2. to Tbeor . 1. )
as tang . BC : tang . AC ; : co - fine ACD : co - fine BCD . Whence ACB ACD +
BCD is ...
1 2 Two sides ĄC The angle B ( As fine BC : fine A : : fine AC : BC and an an
opposite to fine B ( by Cor . ... A .: co - tang . ACD , but ( by Cor . 2. to Tbeor . 1. )
as tang . BC : tang . AC ; : co - fine ACD : co - fine BCD . Whence ACB ACD +
BCD is ...
Side 37
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. Care . Given sought Solution . angle
B ( Two angles A , The other As rad . ; Co - fine AC :: tang A : ACB and the co -
tang ...
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. Care . Given sought Solution . angle
B ( Two angles A , The other As rad . ; Co - fine AC :: tang A : ACB and the co -
tang ...
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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 |