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 13
That the tangent is a fourth proportional to the co - fine , the sine , and radius . 2.
That the secant is a third - proportional to the co - fine and radius . 3. That the co -
tangent is a fourth proportional to the fine , co - fine , and radius . 4. And that the ...
That the tangent is a fourth proportional to the co - fine , the sine , and radius . 2.
That the secant is a third - proportional to the co - fine and radius . 3. That the co -
tangent is a fourth proportional to the fine , co - fine , and radius . 4. And that the ...
Side 34
Cat Given Soüglit Solution . The hyp 1The oppo - As radius : fine hyp . AC :: IAC
and one fite legfine A : fine BC : ( by the forangle A BC nier part of Theor . 1. ) The
hyp . The adja . As radius : co - iine of A :: 2 AC and one cert leg tang . AC ; tang .
Cat Given Soüglit Solution . The hyp 1The oppo - As radius : fine hyp . AC :: IAC
and one fite legfine A : fine BC : ( by the forangle A BC nier part of Theor . 1. ) The
hyp . The adja . As radius : co - iine of A :: 2 AC and one cert leg tang . AC ; tang .
Side 35
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. Cafe . Given Sought Solution . hear .
3. ) la Branderen One leg One leg The oppo - As radius : fine A : : coAB and the
site ...
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. Cafe . Given Sought Solution . hear .
3. ) la Branderen One leg One leg The oppo - As radius : fine A : : coAB and the
site ...
Side 67
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. ( by Theor . 1. ) OD ( 1a ) : CD ( 6 ) ::
radius : sine DOC ; whose hali is equal to A , or BDC ( by 10. 3. ) But , as radius ...
Plane and Spherical; with the Construction and Application of Logarithms. By
Thomas Simpson, F.R.S. Thomas Simpson. ( by Theor . 1. ) OD ( 1a ) : CD ( 6 ) ::
radius : sine DOC ; whose hali is equal to A , or BDC ( by 10. 3. ) But , as radius ...
Side 70
I. ( ACD ) : radius ; therefore , by compounding this proportion with the laft but one
, we shall have , El X EF : EI XCG :: tang . ACD x radius : tang . Q x radius ( by 11.
4. ) and confequently EF : 2CG ( AC + BC ) :: tang . ACD : tang . Q : Whence the ...
I. ( ACD ) : radius ; therefore , by compounding this proportion with the laft but one
, we shall have , El X EF : EI XCG :: tang . ACD x radius : tang . Q x radius ( by 11.
4. ) and confequently EF : 2CG ( AC + BC ) :: tang . ACD : tang . Q : Whence the ...
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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 |