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Theoria motus corporum coelestium in sectionibus conicis solem ambientium / auctore: Carolo Friderico Gauss
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22

Lijbr. I. Sect. L

r

log -y .9,4512985

log sin v . 9,5093258

log A .9,6377845

Compl. log sin y/.0,2147609

8,7931595

Pars prima ipsius N= 0,0621069

log u = 0,0491129

N =0,0129940

log//.7,8753658 )

tlog/. 0,9030900 j

Calculus alter

log ( UU -l).9,4044795

Compl. logn.9,9508871

log A .9,6077843

log I e .9^999888

S,7901595

log N. .8,1137429

Differentia.6,9702758

logi.1,1434671

t = 13,91 448

24 .

Si calculum per logarithmos hyperbolicos exsequi constitutum est, quantitateauxiliari F vti praestat, quae per aequ. III determinabitur, atque inde N per XI;semiparameter e radio vectore, vel vicissim hic ex illo per formulam VIII compu-tabitur; jiars secunda ipsius N duplici si lubet modo erui potest, scilicet per for-mulam log liyp tang ( 45 ° + ~F), et per hanc log hyp cos | (vw) log hyp cos | {v+ip)-

Ceterum patet, quantitatem N hic vbiquam si logarithmi Briggici adhibeantur.

ctatum:

log tang |ip .9,5318179

log tan g| v .9,2201009

log tangi:/''..8,7519188

log e... . 0,1010188

log tan gF. ...g,o 543566

9 ,i 553554

e tang F = o,i 45 oo 658

log hyp tang 45 °+1 F 0,1 1 5 o 8666

N =0,02991972

log*. 8 , 25558 i 4 \

ilogb .0,9030900 i

! = 1 in ratione 1 : A maiorem euadere,Ecce exemplum nostrum hoc modo tra-

iF= 5 ° 10' 58 " 12

C. log hyp cos | (v tfj)C. log hyp cos | {v -f- '\jj)

= o,oi342266= 0,12650960

Differ.

= o,ii 3 o 8664

log N. .

Differ.

log t .

.... i,i 45466 i

15,91 445

t =