Trigonometry: Plane and Spherical; with the Construction and Application of Logarithms. By Thomas Simpson, F.R.S. |
Inni boken
Resultat 1-5 av 5
Side 7
C ) . 2. E. D. THEOREM IV . As the base of any plane triangle ABC , is to the fum
of the two sides , so is the difference of the fides to twice the distance DE of the
perpendicular from the middle of the base . B For ( by Cor . to 9. 2. ) AB + BC XAB
...
C ) . 2. E. D. THEOREM IV . As the base of any plane triangle ABC , is to the fum
of the two sides , so is the difference of the fides to twice the distance DE of the
perpendicular from the middle of the base . B For ( by Cor . to 9. 2. ) AB + BC XAB
...
Side 8
T C For , let ABC be the triangle , and AB and AC the А. two proposed fides ; F
and from the cenD ter A , with the vadius AB , let a circle be described , in .
tersecting CA pro6 dụced , in D and F ; so that CF may express the sum , and CD
the ...
T C For , let ABC be the triangle , and AB and AC the А. two proposed fides ; F
and from the cenD ter A , with the vadius AB , let a circle be described , in .
tersecting CA pro6 dụced , in D and F ; so that CF may express the sum , and CD
the ...
Side 11
BD ) opp . to the fides . fuppose A req.angle : then ( by Theor . IV . ) as AC : fum of
AB and BC :: their dif . : dift . DG of the perp . 6 from the middle of the bale ;
whence , AD being also known , the angle A will be found by Cafe 2. of right -
angles .
BD ) opp . to the fides . fuppose A req.angle : then ( by Theor . IV . ) as AC : fum of
AB and BC :: their dif . : dift . DG of the perp . 6 from the middle of the bale ;
whence , AD being also known , the angle A will be found by Cafe 2. of right -
angles .
Side 36
Two fides AC , The included Upon AB produced ( if need be ) let BC and an an-
angle ACB fall the perpendicular CD ; then ( by Igle A oppofite Tbeor . 5. ) rad . :
co - fine AC :: Ito one of them tang . A .: co - tang . ACD , but ( by Cor . 2. to Tbeor .
Two fides AC , The included Upon AB produced ( if need be ) let BC and an an-
angle ACB fall the perpendicular CD ; then ( by Igle A oppofite Tbeor . 5. ) rad . :
co - fine AC :: Ito one of them tang . A .: co - tang . ACD , but ( by Cor . 2. to Tbeor .
Side 59
... of its two legments ( made by letting fall a perpendicular ) , as the line of the
angle ( CAD ) at the vertex , to the line of the difference of the angles at the base ,
PROP . V. in any plane triangle ABC , it will be , as the sum of the two fides plus
the ...
... of its two legments ( made by letting fall a perpendicular ) , as the line of the
angle ( CAD ) at the vertex , to the line of the difference of the angles at the base ,
PROP . V. in any plane triangle ABC , it will be , as the sum of the two fides plus
the ...
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Vanlige uttrykk og setninger
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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 |