372 



Astronomical and Nautical Collections. 



M. Delambre's example, thus computed, will afford an in- 

 stance of the indirect method leading to a true result, when 

 exactly computed; contrary to the opinion of M. Delambre. 



Example. 



Ist. Ob. PM. alt. 420 U'.ll Interval Decl. 80.15' N. Lat. by re: 



2 Ob. PM. alt. 16 5,S^ 3I.=450 Increase of declin.=3' 480.45' N. 



Sec. SO. 15' 

 Sec. 48.4.5 . 



. 10.0M52 



. 10.18089 



4.69897 



A 4.88438 



AC sin 22° 30* 0.4in6 



39555 log 4.59720 



meil. t. 52022',5 sin 9.89874 

 22 30 



log. 3' 0.477 

 9.875 



2,3 0.352 

 16 5,8 



16 3,5 



t. lur 



t.n. noon 29 52,5 



14 56,2 sin. 9.41119 



from noon 74.45 sin 9.984 

 16. 6 sec 10.017 

 net sin 4214,1 67217 48.45 cos 9.819 



net sin 16 3,5 27662 



sin 9.820 



39555 



8.82238 

 4.SS438 



A 



log 3.93800 



8670 

 67217 



75887 sin 49^.21' ,8 



40 38, 2 

 8 15 



lat. compd. 

 lat. by ace. 



48 53, 2 



48 45 



+ D 

 Corr. lat 



8, 2 log 



. — 3,0 

 4853,2 



0.014 

 9.558 



cot 48045 9.993 

 tan 3 15 9.161 



2)19.104 

 P sin 9.552 



+ L cos 9.970 

 _ T 10.146 



— Stan 10.116 



— C fcc 10.216 



tan 520.22' 

 cot. 14 .56 



I0.II3 

 10.574 



sec tan 10.293 



150 



14°.56' sin 9.411 



9.854 

 20.000 



Lat. 48.50,2 



Had the estimated time been used, tlie enclosed part would have been unnecessary. 



Taking 43° 55 for the lat. by account, the second supposition of Delambre, the com- 

 puted lat. will be 48° 472 

 48 55 



7fi log. 0.892 

 9.568 



0.460 



Corr. lat. + 2,9 

 48 47,2 



L.-it. 48 50,1 



Supposing lat. by reckoning 470.50' 

 Lat. computed will be 49 23,6 



1 33,6 = 

 + D 93,6 log 1.971 

 9.56S 



Corr" lat. 34,6 1.539 

 49 23,6 



Lat. 48 49,0 



This lat. is inexact only by 1', 

 although the lat. by account 

 was inexact by lO. 



