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 11
ABC : AC ( by Theor.III . ) Two sides The other As sum of AB and äc : their AC , AB
and angles C dih : tang . of half the sum of the included and ABC ABC and C :
tang of half their 14 angle A diff . ( by Theor : V . ) which added to , and subtracted
...
ABC : AC ( by Theor.III . ) Two sides The other As sum of AB and äc : their AC , AB
and angles C dih : tang . of half the sum of the included and ABC ABC and C :
tang of half their 14 angle A diff . ( by Theor : V . ) which added to , and subtracted
...
Side 18
( betwixt which you would find all the intermediate fines ) by the fraction ,
0000000423 , for a first product ; and this , again , by 22 , for a second product ; to
which last , let it's of the difference of the two proposed fines ( or extremes ) be
added ...
( betwixt which you would find all the intermediate fines ) by the fraction ,
0000000423 , for a first product ; and this , again , by 22 , for a second product ; to
which last , let it's of the difference of the two proposed fines ( or extremes ) be
added ...
Side 50
which multiplied by 49.5 , and the product added to log . ' B - log . A ICO gives ,
00002426107 for the excess of the logarithm of A +1 above that of A ( by Rule 3. )
From whence the work , being continued according to Rule 4 and 5 . will stand ...
which multiplied by 49.5 , and the product added to log . ' B - log . A ICO gives ,
00002426107 for the excess of the logarithm of A +1 above that of A ( by Rule 3. )
From whence the work , being continued according to Rule 4 and 5 . will stand ...
Side 52
Whence , by adding the logarithms of the second and third terms together and
subtracting that of the first ( as above ) , we have AB = 14611. ... 1,1760913 10,
3514169 2 11,5275082 C.B. to the T. 2 14 ° có 9,397,1744 Which 14 ° added to
66 ...
Whence , by adding the logarithms of the second and third terms together and
subtracting that of the first ( as above ) , we have AB = 14611. ... 1,1760913 10,
3514169 2 11,5275082 C.B. to the T. 2 14 ° có 9,397,1744 Which 14 ° added to
66 ...
Side 71
... the hypothenuse , the co - fine of the given jum , or difference , of the legs , be
subtraited , the remainder will be the co fine of an arch , wbich added to the said
fum , or difference , gives the double of the greater leg required . COROLLARY .
... the hypothenuse , the co - fine of the given jum , or difference , of the legs , be
subtraited , the remainder will be the co fine of an arch , wbich added to the said
fum , or difference , gives the double of the greater leg required . COROLLARY .
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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 |