RELATIONES TNTER LOCOS PLYPi.ES IN ORBITA.

9-5

27293"

I. Sit logi' =0,0007640, logr' = 0,0222259 , A = 7 54 55 70i = 21,95091 dies. Hic inueniiur a ss — 55 '47" 90, vnde calculus vltcriov ita se1 labet :

log A......

..4,4560629

•J log VV COS 2 00 ..

lo grr .

..0,6029879

2 log sin-’-A.

-7,0589972

C. log 5 1 ' .

. 0.9728722

logzy...

. 8 , 6588 S 4 o

C. log acc .

C. Jog cos 2 co .

.0,0000810

C. log cos co .

log«....

, 9,72089io

l°g /?.

fi = o,ooo6i

110757

2 .

.. o, 5 oio 5 oo

2 log cos \ A .

••9,9980976

1 L7 + 21 fi =

5,0074471

2 log COS 2 0 } .

...9,9998520-

l°g.

.0,4781980

C.I°g(i —5 fi)..

...0,0008106

loga.

.9,7208910

2 C. log cos co .

... 0.0000420

• C.log(i -f- 5 fi')..

.9,9986028

log 7.

..° 3 2 998 11 9 ;

l°g Vp .

.0,1977418

7 = L 9945982

lo gP.

0,5954856

21 fi — o,oi5o489

ipsius logp vix

vna vnitate

in figura septima a

vero dilFert

unplo dat log/) =

— 0,0954807

; formula VII producit 0,6954'

formula VIii dat o, 5 gnij 54 .

II. Sit logr = o,4282792, Iogr' = o,4o62o55, A== 62°55'i6"64 , ^ = 269,88477dies. Hinc eruitur u =—i°27'2o"i4, log a =9,7182548 , fi = o,o45552i6, y —1,681127, log s/p ~ 0,2198027 , logjo = 0,4096054, qui valor 187 vnitalibus in figuraseptima iusto minor est. Valor enim verus in hoc exemplo est 0,4596207; per for-mulam VI inuenitur 0,4568760; per formulam VII prodit 0,4109824; denique performulam VIII eruitur o,4o5no5: duo postremi yalorcs hic a vero tantum discre-pant, yt ne approximationis quidem vicc fungi possint. ,

88 .

Methodi secundae expositio permultis relationibus nonis atque elegantibus enu-cleandis occasionem dabit: quae quum in diuersis sectionum conicarum generibus

formas diuersas induant, singula seorsim tractare oportebit: ab ELLIPSI initiumfaciemus.