^46 ASTRONOMIE.

dA"_ sin C sinA" cotC" sinC' sinA" cotC" sin A" cot C" sin A" cosC"

dC ,m ~~ sinA sin C' cot A' sinA' sin C' cot A' cos A' sin C" cos A?

_sin A' cos C" tang A' c os C"

"""" sin C' cos A' sin C'

dA" dC" cos C"tang C" sinC" sin C" cos A" sinC'cosA*

dC_

dA' dA' dA" cos C' tang A" cos C' tangA"”” sinA" cos C' sinA' cos G'

dC" tang C' cos A",

dA'’

sinA'

Constantes A et C, angle et côté adjacent

268. cosC = cos A sinC' sin G* + cosC' cosC' (théorème I)

— dC sinC = dC' cosC' sinC' cos A— dC' sin G' cos G"

dC sinC'cosC"—cos€'sinC"cosA sinCcosA"

dC' sinC """ sinC

:cosA" (84).

26g. sinA sinC' = sinA' sinC

0= dA" cos A" sinC -f- dC cosC sinA'

dA" cos C sin A" „ tang A"

dC

cos C sin A*

cos A" sinC '

: COtC tang A";

tang G

270. cosA" = cosC' sinA sinA' — cos A cosA'

— dA” sin A" = dA' cos A' sinA cosC' + dA' sinA' cos A

dA" sinA'cosA+cosA'sinAcosC" sinA"cosC _

“ dAf= -ÏEÂ*-= cosC C 82 )

sin A"

cos A + cos A' cos A"sin A' sin A"

(théorème IV)^

271. cosC'cos A= cotC' sinC' —sin A cot A'

dC_

dA'

_ s ‘ n ^ dA.' sinAsin 2 C' ‘ sin 2 A'

sin 2 C'sinA sinC'sinC'sin A sin C" sinC sin A

sinC

’ sin* A' sinC" sinA'sinA'sinC" sin A" sin A sinC" sin A"sinC' sinC sin A sinC'sinC sin 2 C sin A_ sin 2 C

sinA'’sinA'sinC" sinA'sinC" sin a AsinC" sin A sin C"

sinC" sinC' sinA sinC'sinA_sinC" sin A sinC'siû C

’ sin X" sinA' sinC" sinA" sinA' smX" ^ÜTÂ 5 “ sinC"

3t'}2.

dC' _ dC' dC , 1 . „

‘dA"~~ dCdÂj' — ^cosA" tail SCcotA =

tangC

sin A"