n m Libe. I. Sect. II.

/ ^

Jj—L pro sin(Z/'— L). Ita faciendo N— L , formulae praecedentes assumuntformam sequentem:

I. /ul = RB -f 7 t sin b ) cotang fi

II. R' — R-\- 7 z cos b cos (l — L) — fj, cos (A — L)

n cos b sin (l — L) — u sin (A •III. L'—L =--- ~r- -—

-L)

Proprie quidem hic B , : r, U—L in partibus radii exprimendi sunt; sed patet, siilli anguli in minutis secundis exprimantur, aequationes I, III sine mutatione reti-neri posse, pro II autem substitui debere

7t cos b cos (/— L/) — u cos (A — L)

R' = R +

Ceterum in formula III pro denominatore R' absque errore sensibili semper adhiberelicebit R. Reductio temporis autem, angulis in minutis secundis expressis, fiet

__ 495 ".^

206265". COSy 3

r*

70.

Exemplum. Sit A— 554 ° 44 ' 54 ", fi = — 4 ° 5 g , 52 ", /= 24*29', b = 46 ° 55 ',28'54", H = + o" 4 g, 72 = 0,9988839, tt — 8"60. Ecce iam calculum:

Jog-S. 9^99951 log.T.o, g 545 o

log B .9,69020 log sin 6.g, 8653 o

logBR .9,68971 log^rsinfe.0,79780

Ilinc log (fBR -f- Tt sin 5 ).o, 8 oo 4 o

log cotang fi ...1,05875 n

log/t.1,88913 n

log ( « ...;.i,88910 n

log 1". 4,68557

logcos (A — Z/)...9,97886

6,55556 nnumerus — 0,0003577

log^r.o,g545o

logcos b .9,85475

logi".4,6855 7

logcos (7 — IS) .g,ggo4o

5,44520numerus -f - 0,0000279