DISSSRTATIO

LATITUDINEM OBSERVATORII HOLMIENSIS,EX OBSERVATIONIBUS DETERMINATAM,

SlSTENS.

QU AM y

VENIA AMPL, FACULT. PHILOS. UPSALIENS.PUBLICE VENTILANDAM DEFERUNT

MAG. SIMON Λ CR0NSTRAND,AD REG. ACAD. Ml LIT. KT AD OBSERVATORIUM REG. A CAD»

SCIENT. HOLM. ADJUNCTUS,f

ET

A Ν D R. IV Å R L ϊ Ν s

STIP. ELGER. OSTROGOTHUS.

IN AUDIT. GUSTAV. DIE XXX MARTH MDCCCXi.Η, Α. Μ. C.

UPS ALI I)

LITTERIS TYPOGRAPHORUM ACADEMHE

Stenhammar et Palmblad.

V I R I S

MAXIME REVERENDIS AC CELEBERRIMIS

S.S. THEOLOGIAS BOCTORI ET PR ÄPOSITO

IN RASBO KIHL,

»oΜrNO. MAG- MATH. FLOBEROI

AT QU Ε

So So THEOLOCGIJE CANDIDATO, EX PRAIPOSITQ

IN GAMLA KIHLr

■»».»» MAG. CHRIST. R. EKWALL?PATRON IS OPTIMIS

S;A C RUK

v o 1 u i t, d β fe u i £

AWDR, WÅRLIN,

DISSERTATIO

LATITUDINEM OBSERVATORII HOLMIENSISfEX OBSERVATIQNIBUS DETERMINATAM ,

SISTENS.

upputaverat, L circiter abhinc annos, Holmienfis ObfervatoriiJatitudinem Cel. Wargentin, cui veio determinationi, ut

omnibus numeris abfolutas, hujusmodi calculis vei leviter irnbu-tum credere vetant Tabularum Aftronomica&um Organorumque,quibus tunc uti licuerit, vitia, prasfenti tandem tempore accu-ratisfimis obfervationibus & mira arte emendata. Specimen ita-que ailronomicum edituri, nec noftro negotio aiienunt, nequeoperas pretio deftitutum putavimus confilium, il Speculas, cuiadfcripti fumus, latitudinem ex recentioribus, quas continet Dia¬rium, vigiliis de novo erutam exa&ius definiamus, mitiorem Le-gentium precati cenfurain.

Formulas, quas in fequenti calcuio adhibuimus, omnes re-peries in notisf. Libro, qui infcribitur: Expoßtion des operations,faites en Lapponie- pour la détermination d'un are du méridien „par Jons Svanberg, pro inveniendis: afceniione redda media& declinatione media ftellas polaris a) ; parte nutationis,

a) Monendum tarnen eft,nos, au&oritate Cel. Delambre, pofuis«fe Declinationem mediam Polaris — 98C04'47"7 Centen. & Afcerfio-nem re&am mediam = i4°55'52"47 Centen, ad initium anni 1800, undevariatio, quae ex praecesiione aequinoétiorum & decre mento obliquitati?Eclipticse tempore t fubnafcitur, erit in illa = -j- 59' 96935*— o"oo639.*Ä— ©"000029 · t^ & in hac =-1- 597"°347. t + i"52i86.ia-h?00702.*3-

A quae

y e

qiias a longitudine Solis pendet ;■ corredione, qua ex obiervatoHellte cujusvis tranfitu per tubura meridian um, ejusdem quoquetempus cuJminatorium innotefcar b); corredione, qua ex obier-vata extra meridiem iltllae de vertice di ilaη tia v eadem ι ad mo~men tum culmmatorium eliciatur & accuratisfimo denique valöreangulijOpe Repetitoris BoRDAJCi,qui nofiris inferviit obfervatio-nibus, menfurati. Afcenfiones reda media & deciinationes me-

dite fixarum, qute, excepta Polari , oceununt, defumtte funt eCatalogo Mich. Lalande, in Connaisfance des·· Tems, AnnieISOS, inferto, abeirationem vero lucis & refiduam nutationis·.quantitatem, qus2 longitudini obtemperat, pro omnibus åel-]js per Tabulas Oltmanni, in Afironom. Jahrbuch für das^fcihr ΐβοβ von Bode publici juris fadas, invefiigavimüs. inrefradionis vi determinanda formula arrifit Cel Laplace quamin opere. fuo Mechanique Celefte, Tome 4 ρctg. zji expofuirpro reliquis elementis, ad. manus femper iuerunt EphemeridesAfironomicce Berolini a Bode & Londini a Maskelyne, cetoüupputatac.

Tabula, quam pro obfervationibus die ao Sept. 1803 adexemplum concinnavimus, columnis fequentia ordine exhibentur::isö Moments Obfervationum, horologio fignata, ~ H.2:o Eademt, ab aduali horologii acceleratione vel retardatione

repurgata, in tempus fidereum converfa zzz S.%'Q Semisles angulorum. horario:«jm, ileilae ohfervatte proprii,»

=.|APo4:0/

i>) Tubum noftrum Culminatorium 2"te.m ports a meridie vero ver·»füs or^entem deß'efti, magno obfervationum numero exploratum habe-·mus, quapropter angulurn azrmphalern, five * in formula citata, huicquantkati asqualem pofuimus. — Neqoe hoc Jöco aliam omifimus cor-redionem, qose, ob insequalem filorum in· tubo diftantiam, ab obfér-vatione adimenda eft, quseque, dum ad quihque lila annotati fuerint fiel*lie appulfus, c-rit rz α 94.3427., See.« Declin»*,.

) 3 (

4".°o Log SinΔ P)zzz L.5 :ο Log. ( ζ Cosec. (h in. ί). Co/ h) -4- L rr L -f- /. r)„6:o Cog. fiCoimg. (h in . Cosec*.(h in d)·, Cox2A) -4- zL

zL-\- λ.

7:o Numerus, /og·. L / feipondens, ilve pars prima corre-' dionis —

8:o Numerus, /og. 2Z, -4- λ reipondens, Hve pars fecunda cor«red i onis — r2.

9:0 Co-rredio integra ξξ: -f- r2 rzC* .

10:0 Summa corredionuua Cn = & C„.11:0 Απnota ta diftantiarum Hellas de zenith multipla =£ χi2:o Eadem correda = Zn + Cn — Aa*13:0 Summa omnium Anz=.S.An.14:0 Summa omnium S.AazzzSzAn·

Diviilonem circuli centenariam undique Puppofutnius, Π eic-cipias Col 3 , ubi anguli horarii gradibus fexagenis exprimuntur,<& ad calcem Col. 12, 13, 14 adfignavimus difiantiam Hellas de

Anvertice, h. e. valorem aiigali %Ay per formulam = s(r)f

zn

SAK n.SAn — iS^An.yHZH = de 3. C " ) 2± fc'G), ii otnnia

».«+!;»-f-iA m

r SAfa^.multipla diöantiarum annotata fuerint, five per , - — &:

ZMr ζ. SmrirSAm — zS2Am

r r —/« r — V β ordine numerorum quorumlibeC

r.Smr —- 2S*mr^'tΛ a mJP

c) Significat $ declinationem ftellae & h ..Poii fupra horizontemaltitudinemr quam = 59°ao'3l" Sexag. in calculo tantifper aslunailtnuso

) 4 (

f»r, ma .... mr„i, mr fe invicem fubfequantur annotationes, quicafus obtinet pro obfervationibus vefpertinis diebus 6 Dec. χ8°5ii |4 Aug. )go9.

De cetero, ne nimis prolixi culpemur, omneni calculifarraginetn exponendo, proxime fequen? & unicura exemplumattulisfe fufficiat, ut exinde ordo & fchema calculi etiam proreliquis diebus appareat.

Multiplicationes diflantiarum fiellce polaris a zenith in traiujitu per meridjem fuperiori, die zo Sept. i$oj.

Quae ptimum indaganda: funt Afceniio redda media & De-clinatio media Polaris fic elicientur:

log. 597 0347 = 2 7759996 log. 1,52186 — 0.1823747log. t — 0.5706597 2 log.y'=: 1.1413194

log. 59,9 69 3 f = 1.7779293 log. 0,00639 = 7 8055009

3.3466593. .4-222i"566 1 32.3694* ..-f-21'0712.348<890..-j- 223"i40 8.9468203,.— o"o88

tog. o,00702 =7.84633713/og. i = 1.7120791

log. 0,000029— 5.46239809.5584162.. -4- 0^362"

7.1744771 .o"ooiAR media Pol. 1800 . . 14^552470Var, pro 3,721 Annis .-f4 2242999

Cr4°7795469 Centen.AR med. 20 Sept 1803 = "S ' 3"3015922 Sexag.

C°A53'f2"382 in terop.Deel. med. Pol. 1800 .. 98°θ447θοο * >Var. pro 3,721 Annis 223057

λ 1 j o r, 598*0^70757 Centen.Deel. med. 20 Sept. 1803 = ^88»,5'j7'tjaj Sexag. .

Kro hoc autem die reperiuntur: Longitudo ζ Q rr 10*21*347,Long. 0.== $.sz6°48.8 & AR. Q-ζζ i iA47 ^ 799■> nec nonuiiihuno die foiari vero, == °°>°5^> d. Θ -h o°979

atque

.

. £

) 5 C

atque d. AR G = ■+· 3#3 5^7 3 3 quapropter a^emp. Spl. ver. =24A3 3 5 7 3 3 teuip Si··*., five ιdies temp. Sol. ver.za 1^,002496 temp.Sid. & AR Pol. — AR.Q =0^,545898 fémp. Sid· = o<*,544538tern. Sol. ver. His den que (ubfidiis computantur ad momentumculminaforium Hellir polaris: $ = ΐο52ΐ°3ΐ9, Θ — 5'27 021 &AR*- © 2= <5i. i6°,2 8o. Tab /, 4- i «"637AR* -f- ® = 6 .10,322, Tab. II, — (>"824

log. 17.813 =.1.2507371c. a., log. Cos. i = 1.5177320

2.7684691au .· · jj? - S-+ 586"772 Sex.Aberratio in AR — ^ 1Ig jn temp,

AR.* — ©, 7aft. JIT, — 5"445Λ/2* -j~ G > ?«/?. /F, -1- o · 50

/og 5,295 —0.723S660/eg. .Sm. 9.9997998

0.7236658— SV292

©—.^ — 2^.28®,761, 2>&. V. a,— O"q87© f ^ = 8 .25,281 Tab. V. b, A o'331

,, . . K — 5"o48 Sex.Aber. ini = $_,5"bf8 Cent.— I*.aiw,98a, 7a&· ^f»+6"557+ Ω =11. 4,620, Tab. VII, — o" 52 5

XT ► · JT 5 6"°?a Sex.Nut.ini = I+ i8"6i5· Cent.y£/2* — β—3« = 10^.21°,982, Tab. VI5"127^2*4-β "3* — 8· 4)6ao, VIJ,— ι 'ιο&

log. 6,233 = 0.7946971log.Tang. 1.5177319

2.31222p©- 20 5"2241

β —10*21*319. T8&. VIII, Α ι©' 223

ν , C~i95"ooi Sex.Nut. 111 AR —— i3"ooo in temp,

> 6 {

Pars BUtationis, quae a longitudiae Solis proficifcitor, & expe-dietur.

hg. 0,061184 = 8 7866379log,Sin. 2 Q = 9.0161949

7-8028328 . . . -o -j- o"oo6tog. 0,027765 = 84434664

tog. Cta.(2 0 — «) = p.6749876tog. Tätigt =. 1.5175319

9 9359859 .♦<·.— o"86Jtog. 0,001202 = 7.0799045

%.C0J..(2© +·») = 9.9954230,/og. lang. J = 1.5175319

8»1938594 0*039Nut. iü AR, p. 2 . ♦ . . » — o"896 in Ttinp,-

F· * · · · . . — 13' 000Aberratio . , . . . . . . -f 39"i igAR media Polaris . β . . oA53'i2"382AR Apparens Polaris . . „ 0^58 3?"6©4;

log. 1,28533 == 0.1090146Sog. Sin, {2Q —«) = 9.5183148

9.6273294 . ♦ ■; 4- o"424log. 0,05567= 8.7456212

tog.Sia*(20 -j-«) = 9.1065962

7.8522174 · 0 » -f o"oo7Not in $,p. 2. o 0.0 + o"43i Cent

ρ. i. . .... . -f i8"6ifAberratio , . „ . a . . — i5"578Deel. med. Pol. . . 98*.o6'7o,757Deel, Apparens Pol. 98°o6'74"225

} 7 C

C©gni ta declinatione, iupputantur iogarithmi t\ Λγlog. 2

/05". ^/0.7. Co,*, h :

fog·. Cofii, C J1 -- /1)i. ö. log. x"

0.30 τ 03008.48225 T49.7074963°'3I554I95 8038801

l — 4.6101997

log. 2 =: 0.30I03002 log. Cos. £^2= 6.9645028:2 hg. Cos. h— 9.4149926

2 log. Cosec (<?— Å).— 0.6310838log. Coiang. — /?") ~ 0.2577020

c. a. log. 1" — 5.8038801

3-373 !9ΐ3Pro motu B.orologii ofcillatorii defermiaando habebis»

i4e9'4o"ooo♦ — Z4"5S7

Beel. med. « Peg. 1805¥ar. pro 1,279 ÄnnisBecK med. 20 Sept. 1803Aberratio ..... ♦

Nutatio integra . , »

Deel, Apparens

AR med. «· Peg, S805Var, pro 1,279 AnnisAR med; 20 Sept. 1803

AberratioNut. integraAR Apparens .

log. See. &log.. Sm{k —

log.«

14 9 15 4434- 8"8274- 2"o8p,'

I4°9'26"359

345°4f'47"ooo— *6"? 8 8

343*44'5o"äia22/i44'59"347

4~ l"24f4- ©"504

2,2^5 f'i"o960.013395°9.85°87990.3010300

0.1653049

X

,, cur log. retyondet corr. azim« adroerid. . 4- i"463

,Appuifüs ftellse ad Tubi med. fil Obf. «2*5225333Culmiruifcio , 22*5226"706AR. Apparens 22A55' i"op6Retard. Horoh 4~ &'34"303

Ex

) 8 C

Ex obfervato dcuique Solis per meridiem tranlltu diebus 16, 17, 28,29I'o" 148 temp. Sid., quibus oninibus datis fequentem tabuUm confictre

ί 2 Ε ι 5L '

2 3λ9 ι°Λ r tΑr"12311 46 ,775

I 12 Μ ! 14 51 ^2915 35 18 12 ,725

2 ι8 0 20 38 ,08223 45 26 23 ,93.3

3 26 3 28 42 ,27328 ι8 30 57 ,606

4 3ΐ 50 34 3° >12933 5° 36 30 ,425

5 36 3° 39 10 '81938 50 4i3t ,164

ι ^! 7

8

42 4445 Μ49 »65 2 1256 4°

45 25 ,74«47 57 >ιΐ35158 ,ηοη54 55 ,141

ο 59 23 >8ο2ο ο ίο 2 54 >rg-i

9 3 48 6 32 ,7327 4° 1025 ,304

10 II Μ 13 59 ,83213 5° 16 36 ,217

I I ι9 ο 21 46 ,98'23 ° 25 47 ,573

I 2 3 ο 2 4 $3 12 '66832 45 35 34 ,016

13 J39 5 ο 42 4° >06442 35 45 25 ,471

14 46 4° 49 31 ,07549 ίο 52 ι ,445

15 ι 3 15 ι 6 8 ,5297 50 ίο 44 )2θ7

ι6 13 33 ΐ6 28 ,201

Lj j L —{— / i 2 L -4·· Λ12" 43 5 Γ ,2 i;8'.6g63 ι 34 3.29651 3 ι|°·745 8 181

512 2θ 47 >8o|g 66ΟΙ 176 3.27.03 ι 73 0·69342'\1 1 5 5 36 ,58 8.6305 2 2Ö 3.2407223 0.63423651 1 37 36 ,4* 8.6084996 3·2 1S6993'0 59ΟΙ9°5ιο 54 12 ,52|8.553035Β 3.ι63g355ιο 36 54 ϊ9'6'8·5 306416 3.140841 3to 19 59 .98,8.50752 149 53 26 ,05 8.46987929 38 23 ,83 8.4478026

0.4804630.4344740.3882340.31294970.26879650.20807 ι

0.15 3°8730.05700579 99 19885

7 2ο ι8 >46 8.21258866 46 43 >5 ί|8.ΐ44°2706 20 25 ,578.0862194

6 ,54 8.02 ι74 t S

3.1 1772 ι ι3.08007893.05Κ0023

9 »8 20 ,888.41744003-02763979 048.308.38994803.00014778 3 1 28 ,96 8-34 Γ9°72 2 952ι°698 12 33 ,678.30939862.91059837 42 21 ,72 8.2547962 2.86499599-88 :?8 37

2 8227883 9 79836852.7542267(!9·66ΐ24532 6964ΐ9Ι)ί9·54563°Ι2 ό3 194 · 5 9·4Ι667492·5575557,9.26790332.4827299.9·1'825 *72·42377 5 ΐ;9·000342 »2.293 12^3 8.73903652.1763863 8·5°556451.9074t15:7.9^701491.800975 5(7-7 5 474291.3672 333|6.8872585'.t t 558S5'6.3839689ο.5 1 55915 5-1839749

12 ι ϊΐ8 5·ο8722669.6974263 3.5476445ι 33 5 1 ^93 6.872356ο 1.48255 57:7.1179°332 8 19 '51 7-143874° ΐ·754°7377·66θ93932 n 19 ,477·39473ΐ6 2.οο493Ι3 8.1626545

2 ,25 7·947356ο7.87253027 81 357547.6829226

5 535 244 57 13 >294 37 4ο ,393 58 49 >663 28 45 ,227.56618662 33 7 Ό2 7·2972 1 182 15 26 ,91 7·ΐ907758ι 22 1 1 ,55 6 7570336ι ι 3°'996.5°53888

3ο 48 >Φ 5·9°539τ8

) (

Sept. & culminatione cc Peg. die 2 0 Sept. repeiitur eiiam esfeiiieebit.

I Crtx979\3°3 5"^69 i973/'>734*863 ,44$4 ,937.1858 ,5111740 ,6944 ,308.1736 >3861954 >613 3 ,89211650 ,7211458 >262'383 >061I3t ι ,3581202 ,4831142 >8841065 ,711IOOO >340895 >585830 ,995732 18664 ,949567 ,84»497 >070.428 ,49»361 ,04c303 >899265 ,323196 ,391150 ,ιο,

; 80 ,80cI 63 ,238

23 >29413,050

3 >°23!1455 ,3392 ,719-1380 ,3422 ,445 1308 ,9132 ,0561200 ,427£ ,8571141 >026ι ,6151064 ,096ι ,423! 998 ^9«7ι ,141 894 >444

830 ,013732 ,055664 ,32.567 >383496 ,721428 ,230360 ,855303,708265 ,223196 »336150 ,07080 ,791

,9823 ,763o ,62gO ,4583 >35io ,261o ,1850,131o ,100O ,055O ,032O ,009o ,006O ,001o ,000

3 ,2780 ,000o ,4980 ,000

3° >378|0 ,00 £56 ,7640 ,004

soi ,142)0 >014

1973",7343832 ,245 64°,6285568 ,6317219 ,552 £29 ,2068674 ,59«

10054,933 193,732££363 ,84612564 ,273 258 ,22613705 ,30014769 ,396] 322 ,68215768 ,31316662 ,7577492 .770

An

84°,2447755

pro hoc die

SAn

64°>2447755

18224 ,825I8889 ,'4619456 ,529I9953 ,25°2O381 >48020742 ,3352IO46 ,f03213 £ £ ,3362 £ 507 ,66221657 ,73221738 ,52321801 ,7552 £ 8 2 5

63 ,23223 ,29313 ,05021838 >'098

3 »278O ,498

30 ,377

21841 *3762£841 ,8742£ 872 ,251

387 >1 15

451 >515

515 >875

58o ,207

644 >519

798 ,806

773 >064

837 >322

901 ,5 6 £

965 >805

128 >4840648! 192 ,728840.3

192 >7265067! 385 >455347°!

256 ,9695727 642 >4249£97I

321,2050604 963 >62998o£

385 ,4487243 1349 >°787°44)449 >69251751798 ,7712219

513 >929347i

578 >1688520

642 ,4143897

706 >6552338

770 ,89°i477

2312 >7005690

2890 >8694210

3533 >2838107

4239 >9390445

50£0 ,8291922

835 »13949525845 ,9686874

899 »37686246745,3455498

7708 >9633247.... ,963 >617774956 ,76021929 ,011 ι

*oi μ28*22030 ,139103ο >o57 1027 >8539861,8736 ,817310852421 »0506990132'ΐ2'ο4"37ΐ=£(θ,32°·ΐ2θ6"5 i9—£(*)>32eia'>4"7i

- B

i'temp. horol.SAn

64,2447755

256*9736158

642*4289628

1284*8538825

2248*4838626

3597^625670

5396*3337889

7709,0343579

£0599*9037789

14133*1875896

«83-73 >* 26634 £

23383>9558263

29229>9345I37

35975*2700635

43684»2333882

) 10

Supereft jam ut determinetur refradi'o ad diftaßtiam fteliseι

de vertice apparentem = —C Zn ) ~Θ, qua: hoc cafu prodit=s2 η

f / n■ 320iB/92//8 Cent, rr»'28°5§ £3 ^Sexag. Altitudo

3.2 met.

vero Barometri annotata fuit 0.75888 Sc gradus Thermo-nietri centigradi ~-f· 70 ~ , unde fiet, ut ex formula paret >om .76. (1 -f-z/) =: om 75888» atque, ii partibus radii exprimitur,et = 0.000293876,

log.oc —6.468^641 logx2~209363282iog.{i A-y>=9.9993595 /og.(i-fy)2:=9 9987190

log. Tang. 0=9.7432220 Zog. 0 =9.74322 20i, a,/ög(i-l-o.oo375.a;)=9.98874Ö8 Zog. fΐ-j- 2C05 2 Θ) =0*4030862

i» a. /og.i" =5.8038801 c. a.log.iCos.* ® =9 8150826—

c. a./og.;i-l-o^oo375,Är)2=9.97749365*80388012.0033725

-f ioo"779

tog.ot— 6 468164tZog. fr 4-y) = 9.9993595

log. Tang. 0= 9.7432220£. a. log. Cos. 2 0 = 0.1161126

log. 0,000125254 = 7.09779165.803880t

9.22 85*99—o"i09

8 6778x174"θ 048

fem.«juocirca emergit refradio vera integra = 100^658 Cent<Praemisfo ilc ipilus caiculi typo* qua: pro ceteris obferva·*-tionibus computavimus elementa, Tab fuis uitaquseque titulis re<°dada, in fequentem epitomen coegimus.Multip iicationes dißaiiiitwum Polavis a zenith in tvanßiu pev tue*ridiem fuperiovi die 4 Qfö, /*<κΛjZR App. β Ceti . . . 0Å33 51"94g 0JCulm. Obferv. * . . 0^33' 9'*573Retard» Iioro!» f » -f~ 42"3£6

') II

Hac vero obfervatioire cum obf. culin. y Cepbei die 8 Odb,collafa, horoiogium motu acctlerato citri depreheuditur, ira utfo,r pro unoque die i h. t. Sid ~ ιλοό'/242 t. horol, & it.s

t ff 1zz ι o 004·

AR App, Polaris 0^54/19^950, Deel. App. Pol. ss98°o8'i 4^2 84 Cédr., /= 4.60680-38, λ =r 3.3661738, Therm. =

l- -h it0, Barom. nr om 76719 & Refr. Vera = ioo"i34 Cent.Η

Oh I 4' 12'225?37 if40 4047 15S2 50

ο 158 3o

14 8lBf229 4038 30

SοΛΐ4'54'

23 37375741 2247 5753 32

ο 579 12

14 SO19 3430 2239 La

32*1346"

4ΔΡ4°5S4'"2 33 50 i8,cc>2 2 49,33ι 37 12,03

47 4° »695 57'4°

49 39'S81 5 1 32,1 32 33 46·953 916,81

,14943016,48,τ 105 36 31,20 ΐ46ι"ο67'385β762!385°6ΐ58933578, z(*)=z 32°I3'42"30I2, 320i346"7o64

',45i,4 7,37»3-·.324296

,268,234,\2 I ο

192

&C.

479"5o3

5ö3"4if

57i"3-6o

622" 3 50

825"655

64°3i5

128*587

192*865

1 An

64*2670497

128*5306585

192*8078640

257°! 36 257*0737650

321*425 32i°3424345

Midiiplicationes dißanticinim Polaris α %eiiith in tranßtu permeridiem ßpperiori die s Odl. ißoj.

AR App. ν Cephei ,

Cnlm. Obferv-

Retard. Horol. ,

23*3ΐ'34"76ί>23A3i'i4"673

-f-2o"o96

AR App. Pol. sr oh^zo"Deel. App. Pol. = 9$o$'19"241Cent., I zz 4.6066x92, λ =r $.3699466, Therm. = e°, llaroin, =ew .7S2d4> Refr, vera = 102'319 Cent.

B 2

) i» c

η Η 4ΔΡ7*49^24 2 723Η»'25·" 23α5 Ι'45"ΟΙ6

I 56 3o f6 49.996 7 11 16,92ο 9 4° ο 9 5Ρ'°43 ϊ 32 32,32

2 15 »2 15 31 Ρ■2 4 5* 2,4724 14 24 33*885 > 43 »7,76

3 2825 , 28 44.868 3 *» 55.3838 ο 38 19.828 ζ ο 3.i8

4 4ΐ 4ο 4ΐ 59-8*4 I 32 33-2847 5ο 48 9.789 46 18.48

f 54 ο 54 19.764 3.66ι 3 35 ι 3 54.726 I II 48,54

6 8 55 9 14.705 I 51 48-391925 19 44.662 3 10 33.06

7 23 4° 23 59,645 3 42 25,44

s.cn A

I38O"704! 64°4O3 64°2f,4()K)61 I

2046"f7i I28°736 »28°5 3»342pi i

2342"7i6>i93°o32j 92*79/7284

242i"295:257°3 I 3 2^7°O7O87O5

242§"63O,32Ic576

2489"oi5 387°847

32i 333I370

3δί°5Ρ8ο985

27S2,/o43 4^oei46 449e8677P57«(O — 32°! 3'34"r4o, z(*)=Z 320I3'32"8397< z(?) =: 32*1 3'34"->6O6

Multiplicationes difiantiarum Polaris a zenith in tranßiu permeridiem fuperiori die j Dec. 1805,

AR App. y Pegafi ... Qh 3'i6"6i2Culm. obfervata , ♦ . 23^5823"666Retard. Horol. . ... -4-'4'52"946

Ex tranfitibus y Pegafi per tubum meridianum, hoc & fequentidie obfervatis, conftat, temporis minuta prima & fecunda, ho-rologio fignara, in fidereum tempus converti, fi unicuique addaso''47o8 & o"oo7g,quam retardationis rationem etiam pro d. 6Dec. valere fuppofuimus.AR App, Polariszi0*345" Deel. App. Pol. = 98*0879'Ίι5 Cent,l ζη 4'60SzS31·» λ == 3-3^ζ9^Ί^» Therm. =s Η-4% Barom. =.om .73661, Refr. Vera = 98"654 Cent.η Η S

Ohi^'lo" oAiS'23'064 4°2748"25I 18 20 23 13.i04 3 5ΐ 32, 95

33 55 2848,144 3 9 4°, * 52 2655 31 48.167 2 47 9,99

3155 36 48.207 2 9 39,723 36 30 41 23.244 ι 35 *6,90

3920 44 13 204 ι 14 ι,754 42 0 4653.285 54 *,6°

45 55 5048.3*6 24 38,865 50 15 55 8,350 751,37

54 3° 5923,383 39 44, *36 58ao ι 3 13,4*2 ι 8 29,34

sc»

426"439

644"144

732"38I

76I"oi5

0403 74

I28°679

192*976

25?c259

321*544

Α

64°33»356ι

128°6145856

192*9027619

257**828985

321*4676704

385°756?33O

) 13 ίExcluia järn obfervatione Ζt , quum yjtiofam esfe ,'faciie

appareat, eådemque pro pundo ordierite asfumta; fiet ss32°14'2S"177, Z^)=ZJ2°14'22"$$6 & *(*) = $2°l42f6ll.Multiplicationes diftantiapum Polaris a zenith in tranfüu per

meridiem inferiori, die 6 Dec. 1305.AR App. Fol. zzz. i2kS45"223, Deel, App. Fol. = 9^08 79"673,

l zu 4.56118391 Kzz 3.2152983, Therm. ξ=ξ ■— i°, Barom. zzzo17*.73958) Refr. vera 115'jtffCent.

22 Η j11*5445"

1 50 401250

2 9 4513 28

3 17 2026 0

4 28 3532 10

5 34 53950

6 42 1546 0

7 49 055 25 1

8 59 5213 3 34

9 65012 25

10 15 017 10

11 22 4526 40

12 305036 10

13 3950

5 . '\£LP11 59'43"623 6°47 42"OO

4 38,66o|6 1049,219 58,702;5 3048,90

14 43,741 4 55 n,n•J8 26,768 4 27 18,4022 18.7983 58 18,1830 58,8662 53 17,6733 33,88s: 2 33 55,0337 8,9142 7 2,3139 3,929 1 52 35»7c44 48,975 i 9 347 13,99350 59,02253 59,046

ο 24,098

SC*

932"ι68

i536"262

71*836

143*702

19 3o"697 215*594

2096"o8 3 287*508

2184867 359V5

22o7"89743i'35o

2209"568 503*278

2236''555

51 24,2223 i6sfo

46,3247 2i,55

4 51,133s1 20 44,328 33,1611 48 29,53

II 49,188 2-12 59,7 317^24,230-2 54 52,541959,2513 1415,2122 9,2683 3o3o,33.27 44,3124 12 23^1631 39,3414 41 45-8835 49,3755 13 1,1441 9,4165 53 1-44 „ , e/

4449,445 6 2031,664242 314934 647

2327"27I

2537"549

575 202

647*127

719*026

286ρ"836 790*928

34i5"o55j862°8oi

Λ

71*92921

143*8556262

215*7870697

287*7i76o8i

359*6434867h ι

431*5707897

503*4989568

575*4256555

647*3597271

719*2797549t

791*2149836

863*1425055

935*0712314

Ä(i)=35°96'42"78i , 2(3)=35*96'42"67C9, 3^= 35*96'42"2029.C Ν

5 14

MuUipHcatwnes dißantiarum Polaris· a ζenlt Η in tranfötn permerid. fuperiori die 6 Dec. i$o$.

AR App. V PegaSCuirn, obferv.

c« 3' 16'60723^58'ϊ2"566

Retard. Horol. . . .^ +5' 4"°4I o 7 vAR App. Pol. ohS4 4 947i Deel.- App. eSSo'o^i Cent^

1= 4,6052355, λτζ3.3629310, Therm. = — Λ ßarom. = ο^.743Η*Refr. Vera == ιοι"453 Cent.

10

Ii

Η I S9 9' 15"',oÄ i 4T9" 12.7

12251735l£ 5026 383' 5537 15404548 ο50· 5 ο.55 4558 25

7 2oi O 2 Ο.

145°ι?2ο2ΐ 3524 Ο27 4ο29 35342537 35

4°58'ΐ3"ό54 34 28,423 55 43Α73 38 5°,·5 32 47 5ο,ι 3

812,33ι 28 I 2,COι ι 56,80

7 33-88134r>265034,06

ι 10^34,2'2

I72p,i572239»ι9124 54>2°δ3ΐ 42,26236 59^0342 19 >3474549,37253 4,42855 54,45°

ο 4P 489329,510

12 24,58°ϊ5 24,6£61954,64°22 24 >66 126 39>^9329 4,7 η3244-74«3439-75 ·|·39 29 ,7945 4° 36,34,4- 39,8«8-6. 42t,52i3436"726

17 27,24*2 3227,5 >3 I3 4a>653. 32 27,854 4 20,59•4 2228,234 4P 58,45

4 2I,o6 2592"Q47

S.Ch Zu

55? 8"5 65 6-4° 3 37 64°28ii435

9io"688 I28°653 128°56Ι95Ϊ2

IO62"649 i92°959 I92u852735*

( I02"2 48:2 5 70248 257°i 377752

I IO3"O.82'321°525i

32ΐ04*469ΐ8

ii28"777 !a85e8o8 385°095ΐ223

I272"34245.O°IO9 449*98^7658

I 99.1" 303 578^54^8697

643°Ο94|642°83479537o7°4fA7o7e 11^32 741

25(0 = 32°i4'i7"42i, 2(2)22 32°I4'I5"96I8, z(S)= $2.°i4 ιγ"ο684Multip Iicaiion es dlß'nntiannn a Lyrce a zenith in travJihi ρev

merid. fuperiori dis 13 Aug. 1809.· d).

578*746

d) Catalog. Fixarutn CM M? Lalande, ut antea monuimu-s, un-iique fecuti > etiam uro 13 & 14 Aug, caleulum iöftituimus, quo la»

>15 I

AR App. α Lyrse = .Culm. obferv. . ♦ - ι8Η4'22"°97Aceel. Horol. ... — i$5l '033.

Fx culminafione cc Lyrse, fequenti die de novo obfervafa , in«tellHjirur, retardationem diurrvam horologii prae temp. iidereo esfesr 9^38, arque ideo fieri ι' t. f ξξ i-o'oo65 t.k. & 1° t.Jl bsi" — o'ooqι t.h.

Deck App. cc Lyra; = 42° 91'04" 5 33 Cent., / ξξ 6.1564190,Λ = 6,6300704, Thenn 2= -f- i8°> Barom, =: om.ri666oi Refr.■vera =2 67^393. Cent.η Η S 4-ΔΡ

r

s.cn Anι8^2Ο'43 ι8λ 6'5 i"8i 3 2°57 24 37

1 23 57 10 5-834 2 33 9,22 Ö6io"787 46 "694 46*0329213a8 26 14 34,863 ! 59 31.50

92*9842 3° 22,5' 1631,375 t 4457,66 9669'071 92 °o 1709293U 7 21 55-9ΪΟ l 423.60

139T06 «38*05799483 37 38,5 2347,422 5027,31 io48O"O5254 34 4043,031 I 1629 74

t84°0936i394 57 30,5 43 39,f5o I 3833 64 12363 861 i8f°33o19 ι 42,5 47 51,577 2 io 3,84!

23 ie8325 3 49 49 58,091 2 2'5 52.69116972 198 2 30T 34780283» 1 5440,121 3 1 7.92;

276T757511;6 10 38 56 47,135 3 17 0,52*25572 489278 733

Cnlculo jam convidi de vitiis obfervationum ZtiZ2 (qusectiam in Diaria, ob alhidaden fortuito attadani, atr.o earbone

no-

tftndo Obferva<-orii 65*0?'65"625 Cent = 59°ao'34"402 Sexag, &65#93'66"244 Cent. ~ *9*20'0.4."665 Sexag. deorehenditur. Continetvero AÜYon. ffahrfr. für das Jahr Tgit von Bo-de» nnperriroe nobistransmisfns , novutn Catalog. 220 Fixamm , a Cel. Pjazzi ad initiumanni T805 eonfedum . in quo decMnatio media « Lyrae uno minuto fe-enndo adaufta exponitur. quam ideo , ut accuratiorem, heic asfiimfF«njsealculum de iategro iterum fubdacentes.

3 6

notat» funt) 'hane pro puncto ordienie asfumentes-, haBe'm^s.^(i)=2 3<>oi/98'/572,a'(a)==2 30oi/96'/8842,s^)=:3 30oi/97//o5c9.

Multiplicationes dißantinrum oc Lyrce a zenith in trqnjitu ■ permerid. fuperiori die 14 Aug.. ι$ορ.

AR App. « LyrseCnlm. Obferv·

i8A3o'3i"o48|ι8λ44Ι2."7Ι7

Aceel. Horolog. . » ♦ o —i3'4i"669. Motum de cetero horologii eadem lege, ac pro die 13

Aug., adfiringi pofuimus.Deel. App. oc Lyras = 42°gi''o4"79B Cent., I =26.1564200,

λ = 6.6300743, Therm. =-4- 17°, Barom. = 0^.76274, Refr,Vera = Cent,

Tt Η S JAP SCn Z* Ani8Ä24 2" t 8äIo'2o"2CC 2e3i'2i"36

4984'26i 46°528 46*02-95739I 26 7 12 2f,2I< i 15 43»752852 15 10,23c ι 55 6,13

7791"4a3 P2°O6985772 3054 17 12,243 ι 3P 51,03 92°8493733 23 51,286 49 58,21

; 8.402"aö<5 t38e9635 138*12327943 50 56 •37·-14« 37 3 50 24,9355 48 42 0,404 ι 2655,1758 5 44 23·4'9 ι 44 2,77

19 126,5 47 44,94* 2 9 14205 4 6,5 fo 24,958 2. 29 14,32 i5327"32c 231 730230^1972680

«(/)= 23βοι'97".268, 23°OI'9O"89P5 =23*020 3''43 3?.

Ut in disquifitionem tandem veniat, quem ex allatis depro-iaere liceat, pro Specula nofira, latitudinis valoremj fit jaln S= Deel, fiellas apparenti, 3 = difiantias fiellas a vertice, quasobtinet ad momentum tranfitus per meridiem, quamque nos =3(2)+3(j) . J. .-1 fuppofuimus, r = refr. veras de hzn altitudim poli.

' ''· ■' $ · ■ ■*■· ■ r ' - * . '·..·· -r;^s·"-;

^ T7r.>

> 17 C

Erit exinde hz=z J + (z ~h rj> prout ftellx culminatio interpolum & zenith vel inter zenith & »quatorem obfervatur, cjua-t nus ero fub polo meridiem traniiit ilelia> habetur h zoo —( +3+fJ, Debitis itaque in hac. formula fubflitutis valorhi US.J, reperiturt.

Ex obfervationibus in fiellam polarem dieαο Sept. T803, h — 65093'6Y'9tä Cent, rr 59*2o'35"2i5 Sexag.4 Oft. i8o5./? = 65°93'69"046 59β2°35"7658 Oft. 1805,h — 05°93'83"^72 59°2°'4°"ΐ445 Dec. 1805./t— 65°93'57"577 59°2o'3i"8556 f1 c 1805/ϊ=:65β93'62"679 59°ao'33"5o6. * . . . Ä2r65°93'62"o85. 59>>'33"3?5

Ex. obfervationibus in fiellam cc Lyrce die13 Aug. 1809,Ä rr 65°93'68"893 Cent.. 59°2o'35"52iSexag.j4 Aug. 1809,/} — 65°93'69."iii. 59°2o'35"592Sumto ex his omnibus medio arirhmetico, evadit itaque latituderquaeiita h 6f93 6η"631 Centen. S9 20'3s "Sexag. vel h =6^93 65"134 Cent. $9 zo>$4'>395 Sexag. , ii obfervationes, pro die8 Oft. 1805 j.exclufas mavis, quum valorem ipii A, a ceteris ni-mitm abludentem, asiignare videantnr e)„.

Vellet jam iniEtuti- ratio, ut ad obfervationes a Cel Wargen-tin annotatas, juxta quas latitudo Obfervatorii Holmieniis =5$92031" Sexag, j hoc eA quantitate 3 395 noilra determinationeminor, habetur penirius perfcrutandas atque recenfendas progre-des emur, cum vero variis nunc , iisque asfiduis, negotiis tenemur,hoc alio tempore & loco perficere decrevimus..

e) inter reliqua , quibus hujijs disfénfus. culparn impertire potuisfes,fuffragia, licet In Diario baud notata; fatendum eft, nos ex illo tarnenan madvertisfé,. Polarem ievibus nubibus interdum obfufcatam fuisfe,quocirca ipfas obfervationes dubias & refraftionis calculum incertunifore intelligas,.