Disputatio astronomica de inæqualitate dierum civilium, ... in regia acad. Upsal. præside ... Joanne Bilberg ... publico bonorum examini subjicitur a Samuele Krook Smoland. In audit Gustav. majore horis ante merid. consuetis die 5. Decemb. ann. 1688

Μ.

2..τί

Difpatatio

Aßr

Ψ6'

1 ,

DIERUM

_CIVILIUM,

Λ -,f| V permiflu

AmpliiTimse

Eacult.

Philof.

in Regi*

,Acad, Upfal»

PRMS/.DE

Vim

_AmpliJJimo

Dn.

_J

_{O A}

_{N Ν Ε}

_{^3£Β®91®/}

Gcométr. Prof. Ordin.

Profoikmrai in _{Philofophiahonore,}

Tublico "bonorum cxAmini _fubjtcitur

SAMUELE3

£9*00*/

.·■ SraoUnd.

In Audit^ _Guflaru.

_{-rMjorcfharis}

_{Ante mtrtt}

η corjuettfdie _5*

Decemb.

Am.i6%S,

UPSALfcsß.

Typis HEmici ketsers, S. R,

Conjultißtm

atque

Amplijjimo

ΊΟ Λ· 0 Domino

DN CAROLQ

I.UNDIO,

Patrii

Juris

In *s4cademiλ _Up

_fal.

ProfcßoH vuiximc tncluto, ·♦ :y * ,-, .. ita

_fummopere

Hoc

_qualecunque

_ingenii

ihidiorum-bitxquc?

oblervantiarpignus,

\

^ y..·,

beließen*»

_{cum perpetuas}

f

-■

Vho

_AwpUffim»

DN·

ANDRE.E

>ι

In

fadern AcademU Super,

CSUtb,

Profeflori

Celeberrmo%

fuu,

ut

bentgnlfllmWi

caleudir,

que

_fpecimen

_in

_grari

animi de*

pro

plurimis

in

me

coliatis

ielicitarjs

_voto,

_dedware

Clarißimo

Viro

_juveni

Duo. SAMUEL!

_KROKIO,

Philofoph: Candidato digniflfimo

Stlutem & _oßiu.

Ufarum

_AmhrofiamA

_qi

femet

_degtßavit,

_{faturaricanequf}

jed dnlcedwc _{ejus quafi delini·}

tu*, curi6 alm _{Je fubmovet folus in hac cu<}

ιάφ Ut _namjz

férrum

_{irahitur k m}

agnett\

Jic k ßudits mgenia dtjcendi cupida. _Crt·

fett erudittO;, ertfilt φ ejus _augenda

_maf

Ar_{dör, (Jr docl-m a}

majorts_conjequenda

_qiuj

fames;

Νση enimßadium cuYrentis fedde·

c urren11 Inurta deccrnttur. _{Teβ V» Dochf}

βme Dn. Candidate, _(Mufds

_femper

_coU·

iffe,

Te mentis oculos per Utes _latoj^

_philo·

fipbU

campos

cireumtuhfß,

& voragwes

ß-ptentiA immen

β profundttatis,

nemo, utst·

bitror, _tnficias

_ihtf

_{ßfyum φ. alttus}

for-tuna

intquiorh fluffibue

_{immerfo, amara li¬}

cet mulla Tibi _contigerint,

_d

_nie

es tarnenflu* dtorum _{fruffus φ conflans in Iis}

_proferendi

ardor conciwe _{temperafunt omnia„ fiar»}

inprimis pietatis fedulo calcaßi, utpotf

qvi

fanda mentum

_eß

_Japientix

_&

_JemtnAriut*

Vi 0 zl In u ν bi Ai 1

vera

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_quid

_{defit, attendtt,}

_{Qu& pop de qmfito} Q

glor

tatnr,

[cd

de bom

femper

quArendo fvi¬

llata efi. [luid_{ergo tnirum Te}

hac

_{duce ad}

t#

pertendiße

_virtutes,

_quibus

_{jaclis famam}

yexé extendere

_pojfts

_{r £uid mtrtim}

, bonk. ita omnibm gratum Te

reddidtße

β _acceptum\

_ßjuid

_{mirum, q}

_{nod v&jh}

uiti diorum

pelago

magnam ρartcm trajecto ad

'wl· _{doBrina portum}

_feliciter

_{tandem adßires}

_?

w Cratulor tgitüir

at^veré

ctiamgratulorTi*

bi,

_Clarißime

_Candidate,

novum

acceßßtrum

jt> honorem, &

β quid

_{vota mea}

poßbnt,

De-aß

um

bonorum

owntttm

fontem (itpplicitér

oro,

tttj ut cujus nunc tn ar

dm hifee

(iudtts pro·

de-

_greffus

_eximia

_dedißi

_fpecimina,

_magis

ma-hf- _gifa

_crefcant

_tommuni

Reipubl,

bono, Tibi

oty vero

hpnori

exim'to*

ήΙθ' V.,

, '' W, '

Ä Dab,Vpfalis prid. Kal. Decemb,

W M, DC, lUXVIII, for. *r\>.λ Λ . ιIt· . •u:uV> Ad officia pararitHmue tam _{\ τ*} C F

C

'ϊ·'μΛ i

' '

/r/

Clarißime

ac

perexlmle

Do«

mint)

_{fhiiojophi* Candtdate}

dtgmßme.

SUb

Μ _{elegans quodddm}

manlbm

_{& concinnüm indoits}

ejfe

typogra»

_tua

txu.ua,velui vettusdieam, rarißtmt, cura cummaxi'

WA _{elaboratum opus, baud pruiem circumlatus per vr/t}

bomtnum ad auresquoque nieac pertultt tumpn Qua

fimiACccajione tam Uta, tarnque exoptat.* fit ipj.u*

niu inter totTibitameximm & _prtcUres

'•■.igenußu-äis _{gvaiulantium voces, foUa impto}fiitnm, _{non qtm}

dem tut _quiäquam dekd'itrSm _{glorit,qmppe qitruft'}

tdefi, ut nullius neelaude angin,me mupero mtnui

poßii. Cetetum rngrati certe tiga Tt anuni

fcedA prtdtre liocumenta, alienimiadebiti Tibiφά»

duxi. tiam _{per birnfnumülvd temporisfpapHm,0}

partern quandam inßgnk Tut fapienttt mteam com'

wuntcdré _voluißl·, tantam me inåt céptjft uiuttalteni

tubens _{fatcor, utmiio mt tempore dignas tibi ptrfol·}

vere _{pojfegrattas exißtmem, Qyod reliqvum} eßt

petgejCUrtff.ne Dsmine, infignem tßam%Jed aiffutlcnt

fatis &arduam vtrtutis emettri viam, & fietutprevi

virtdi_{inßgnitus lauro,dignatandemfapientta tua,quam}

non _{fine jummparaßt fu mprotmu referat* Vals.}

& lare* HiiTl .'ifysp.f/' ··(■ *_° -. ' ~τ· %.

y.

Lundio*

Nter

omnia

fidera*

qvi-bus _{fapientiflimus.illc rc·}

rum cbndxtör Dcus coclum

cxqmiyTfTconfenfu magno

principatum obilp^-i^liis..m.pndi

Sol,

pofitusinfirmamento

coeli,

ut

diei

pr«-effet & motu fuo ccrta tcmPQta, diet

vidclicet, meriles & annos

dcfignarct.

Solis motum duplicem faciunt

Mathc-maticiycommuncmfcilicet &

proprium»

Ac communisqvidem ab ortu inocca-ium, una _Solis rcvolutionccirca polos

gqgatoris

fä^ä7dT^~conttituit,q

ηcm

aliinaturalemyocaqt,aliiautem re&ius

cum'optimls

laumtatis

jjeriptoribus

ci-vilcm; cum naturalis illc fir,qucm ,Βφ? turafa^tenebris,-fgjunxjt,. &,.,eft tcm^

poris infervallum, quoSol fupra

hori-zontem noftrum commoratur.

Iis _autark

_{qiui in}

_{contradibufti}

civi-Kbusquc ncgotiis _{ufurpatur,$c dici}no·

ftisque fpatio abfolvitur, Hi dies civi¬

les cnamfi_{vulgo aeqvalesexiftimentur&}

horarom praecilc 24; nos tarnen

inae-qualcsefie _{fequentibusdemonftrabimus,}

5. II.

Morus _{propriuseft, qvofolf.f.}

_£

in

_Ecliptica

_{fuper ejufdem axe & polis} moveri

_{videturjpercipiturqve}

_ex varia-fionc loci folaris tam in meridiano, qvam in ortu «5c occafu. Nam in

ßgnis

jZodiaci

adfeendentibus fol ver¬

riet noftro_{adpropinquat>& cx auftro}

in _{feptcntriaucro, adfjccndit:}

Injlgnisau-temdefcendentibuså verrice noftro di·

grc3mir~f&

exborca rurfusin auftrum defeendit. Et cumverlos occidcntcm

femperäliaratqvealirftelix fixae in

con-feqvcntia progredientesexradiis folis c*

mergar.t, manifeftum eft folem ctiaro fecundurn du&um _{Ecüpticx ferri,motu}

tarnen_{celeriori qvamftellx,cum fol} an-imo _{fpatio circulum fuum abfolvat,}

ftellx ajttemJixse _{opinionelquorundam} annis_{folaribus ferc}1s4η. _{Infuper cum}

adparicio fideruai jubarcfolii libertato' rum

I

rum iistantum lods

contingat.

ubiZö

v diacusincedit,

patcthunc

niotum

circa

polos

ejufdem

fkri.

s. III.

Motum folisannuumin

Ecliptica

varii variédefiniunt. Nos motus

hu-jus magnirudinem

inveftigaturi,

eligi·

mus duo aequino&ia

auäumnalia»

1

duobus

_{pctiiiflirois}

Aftronomis

ob-fervata & _longiflimo

intcrvallo

_a

fe in·

viccm remota . Sic cnim omnino

fiet,

ut,fi qvis error

irrcpfcrit,intantam

an·

norum multitudincm

diftributus,

vlx

fcnfibilis evadet. E.G.

/EquinoÄiumv^yV»

åuQtumnaicobfervatum

ab

HipparchoIJw

Alexandrixanno11tcrtix

periodiGaiip-picx, fivc annoante

Chriftum

nacum

1^8. 27. fept.

£öft

bi'flexrilem

tettio

iinpföTTicrid'S.a3c0que

retraffioni

non

obnoxium, Hoc confcratur cum

alio

Bononixöbfervato.

Proindc

quoniäm

Alcxandria magisqvam

Bononia

ad

o-rientem _v<rgit

Ή. le.

_i.

44/.

quarc

hxc de Λ7 diebus

fubtrada

iridi-cant xquino&ium

Hipparchi

accidiflfe

C ί

!&·#

*·

"

'®°·

_j/f

1

Bonoriiae äk 26 _{Sept.complcta ,Η.} 12.

161 polt rneridem, hineablata

groß--/hapharcfi

Coli«, isgr.49.cuireipondentin

tempore44. H. _{/»rrelinovitar te.mp.us} medii_{jequino&ii25. Sept. Η. 2.i/. Alte}

fumadcüratiifime a _{RiccioloBononisc}

obfervatumeftanno _{1643. die 11}

Sept.

complcta horis 21. 25-. _{poft meridiem,}

anno item _{poilbiffextiicmtertio. Hinc}

dgmtis .dmabus _diebus, remaqet

tem-pus medii scqvinoåii 10. _{Sept. 21. H.} 25·/. Porro ablato a _{tempore Hippar·}

chaei _{seqvinoåii medii}

25·. D. 2. H. 1/ tempore _aeqvinoctii medii

recentio-ri^ip.

D. 21·. H. _{2^1. relinquuntur D*}

14. H. 4.36./, quibus 1800 anni luliani cxccdu'nt_{1800 folarcs. Prseceffio}

fciec ad niinimos termmos' _rcda&a & divifa per annos _{integros χ80p}

interccdentcs, inter ambo

arquino-ßia. exhibet _{11/ zi// 12///, quibus} de annoSofi_{genis365 D .6, H/} dem-th reftant _{365. D. p. H. 48,/}

38//

48///

pro magnirudinc medii an¬

ni _{Tropici. Praeceflio}

14 D, δ. Η.

ad

_gniri/pr»

_"roaft»

_additis

36/

dai

20436

5 20436 360 Anni 18oo» 11 60 2436 216 0 1800 i i8co ι_III 636 ₃₆₀₀ 60 1800 38160 ill 3600 2 1800 I ocoo 3600 365 D. 6H*

2l6oj

_{II/2I'/J2//JL}

18001

_365b,

_{5.H.48.38" 48.}

Vel hoc modo,

iiEqui-noftium medium com·

tigit

Bononias

Sepr

Γ (ν Η·2· >'

Iw. 21._tf

Dlt'

r*f» 4· »6.

Anni

_{intrgri'inter}

_{amboaeqfcitio&ia ela·} pfifuntiBoo, qviin dies reioluti dant

65700ο» Bifiextilcs diesinterca

effluxc-rum450, hincdermis 14D, 4, H.36/,

quibus intra 1800 _{anqos aquino.} öium medium_{procelTir verfus anni}

ini-Ä. remanent _{435» D. 19. H. 24/,}

qui cum horis & _{minutis additi ad}

dies _{657000 cxhibcnt 657435 D,} H, _24/,

_Hxc

_{fi dividantur}

per folis

rcvolutioncs intcrea fa&as,cmcrgct in

Quoricntc eadem anni Tropici mcdii longitedo in

diebus/

hons

&

miniis

Dies _{Rcfid, 1459} 3 ducaturin 60 Dies657435 1800 54°° 11743 108CO 9435 90co Refid. 435" ducaturin 14 «1 1740 870 10440 Ad-ho. 19 i°459 9000 Hor. I add. _24. 87564 1800 7200 15564 14400 1164 60 69840 1800 I f

4001

15840 χ₄₄₀₀ 1440 60 864CO 1800 730o 14400 14400 ■ΌΌΟΟΘ Mi. ι + 8 III 4 * t. IV

in #. IV.

dii Cctcrum motum hunc folisin

Ecli-m _{ptica inxqvalem dcprehenderunt}

Aftro-nomij alibi velociorcm, alibi

rardi-orem, alibimediorenvobfcrvata tnora

felis intcrutrumqve xqηinocfium,quod

lnggvalibui jtemporibus xqvalesiareüs Ecli_{pticx ahfolmrntiic. Nam iriApo.}

geofol motu tardiflimo,_{nempe 57/3//} dici _{fpatio abfolvir, in perigeo cclcr«}

rimofe, igr.i/io/// circa xquinoftte

mcdiocti. _{Atquciic motusillc ab Au·} gc ad ejus oppofitum incrementa,& or· dinc inverfo dccrenicnta _{capit Hinc}

fit,utfol in femicirculo fcptcntrionalicx

calculo Riccioli in_{Almag üb. 3. c. 18»}

Dies 1-86» H. _{14, 48/45//;}

lnauftra-HD. 178. ff. 15, o/o//haßrcat.Hxcmo¬ tus _{inxqvalitas non tantum in femi^s}

Eclipticae,

fed&

teftibus

obfervationi-bus _{inqvadrantcs,}

numeratisdiebusin-ter _{fingulos folis in}

_pun&a

_cardinalia

iugreffus,

redundat. Nam fccundum

Ricciolum in_{fignis vernalibus dies 91.}

H.13, _{5-1/ 45//} commoratur; In

xfti-vis _{O.93. H. 14.56/0//; In au&utn·}

naübus D. _89.H, n. 30/, In

o

bus _{89 D. 2 H 30/. Qux motus va*} rims _{comparatione inter motus diur»}

nos _{igföuua,ranta} eft,utetiam _in. dies

traaleat

T

~ae

etfi.intcr

binos dies

fe

invi-cem proximeinfequentes _nonftatim

de-p reiraidA[LtiJ illajnSquÄIi^s unustame

cxbreviifimiscumJongiffimp,coILitus,;

al itriam4 ttereotiam»&.plq^sdicsabfti*;

vi^r^Jtotidem hyemalibus jundi fatis

cvideflfém refciÄt."

""T^-rr—rr-Prniqjpundum iaruma?.&

imag

Apfi-dis προunoEpUpficae loco hacüSe» Ted

profflTIite

yerfus amaifioem obiérvatio"

nestarantur. _{Nam tempore}

Ptoiomabj

quipoftnatu Chr. regoantibus

Adrian©

& Antonino flpjpjjt» foldiutiusin fignis

vernis qua3eftmsmorabatur;Inillis94

diebus i2horisiin feis92D,i2.H,adeoqj Apogeum tune

temporis

fuit in primo

quadrante &

Perigeum

in tertio.

Un-dc concludunt MathematiciApogeum

circa exordia mundi hxiifle in initio

Arietis, & ejus oppofitum in princi-pio librae, atque Gc

folem

tardiilimo

fuo motu tnotui

comuninonadeoreG-ftentefeciflfedies breviifimoscircaveris

ini-ψ

mtium,

_föngiifimos

_circa

_äuäiimni,

_ob

ceicrrimum motum vcr/usoitum *

me-diocris'autero _{Ipngirndinis circa piifl&a}

ioSftirii. Ad _{probandiro qvoqvevarl·*}

am(olisatfrrradiftanttam non tantum

facitädpajens magoitudo

Diäfactri

ίο·

laris, quae per idem inftrumentum

obfctvafäV^äloiT^vemc« minor

aefta-te tcie

_confpedui

_{obfervantiutri obfertj}

fed etiani_{ipaeqvalis duratio}

_Eclipfium

ab umbraeam

plltudi

_{neproveniens,quam}

amptiorem

effieif

foFa terra remotior,

anguftiorem terrae

Yiafiior,

. '·

%

Ha§

ob

eauffas

variashypothefes

exeogitäriint

Agronom),quarutn

ηos

fim-pliciirimam& facifiimam, quippcquse

iolo_{Eccentriconiriur,ceereris omiffis}

rc-fröemui.4^ ^éii4tlltffita^«rieif

Eclipti©#

GéhtoAf _{défcripttf éa*} emWiWcttv CÉ. Etex

cfcntrö IG ö^fciibaYbr aiui^circtites

_$0

Η f ccténfncbs cfi&öS/ _{qvod ccnftum}

chverftirri ä férraébabeät, _{qVcrn foEsfUM}

nbö

_{fpatiy^ercibYfif}

_{DncaturdeiiideW·}

å*

_{:ν··Μίφέέ%άήύ&}

_{K&A^ieéané W&}

*0

ccntrlcnm"in Ν & _Ο, ubi Ν cft Apo-gcum,pundum videlicct

remotiflimum

atet_{ra, O perjgeum tcrr»}

_proximum.

Jans

fol

arcum

Eccenuici

f

G Η

pcrme-ansoculo incenrro A conftiruto,vide¬

turicmicirculum borcalcm B C D

per-currcre& arcum EccentriciHIF

abfol-vens _{icaiicitcolum Ediptic«}

_D

Ε

B

it auftralem, Et _{quoniam arcus EG Η} major arcu HIF, eamque ob caufiam plus temporis impendit abfolvendo ar-cui _{majori quam minöri, atque iic} diutjus in medietate Eclipticae boreali

B CD, quam auftra/i DE B

eommo-rari & _{insequalitcr, nobis in terra de·}

gentibus &exalienoccntro cum adfpici»

enribus, moveri videtur, fecundum

Axioma _{.Opticum. Morus circuiaris}

3eqiiabilis ex alio,quampropriq ccutrö

vitus^

inaequalis

adparet.

Kcpplerus

ta¬

rnen hb.4 & 6 Aftr. Cop.prster hane

caufiam ctiam _{phyfica ac reali aliqna}

motus

_{tn'gqüalitate admiiia}

_non tan-tam _{Eccentricitatcmquam alii, fed}

di-midiam tantumejus partem adfumit.

§, VII.

Ut _{autemadpoiitum fehema ctiam}

infcrvier eruendse Ecccntricitati KA» conne&cnda tunt _{punÖå ΚΗ & KF}

rcftis,& conftituto lok in R. lub Leo¬

nis _{pun&o P,ducatur linca veri loci}

ίο-kris A Ρ, & medii motus linca K R.

ex_Ccntro

Ercccntrici.

Ad

obtinendam

igitur Eccnrricitatem ncccflariaeft

ob-/ctvatio duorum _{Kquino&iorum fe}

praxi-12*

pjroxtmc iniVquentium, &uniuslocive* .fi ivhrh* Cbiervavit Rictiolus 12₁₂

ie-pteitib. hora pcft merid,

Bononiae

14

56

Anni i6j6 _{a:quino&ium au&umnaie in}

D.& IO Martii, Anrii 1647. h, 5,

_5:6j

jpoft mcrid.Vernum

in

B, Hinc

facilcelici

p.oteft lolem moratnm fuifie in Eccentri·

ς\ arcu HIFV fub medietate Ecliptica

^uArali

DÉB

178

diebus

15-

hons,

quibus ex tabula mcdionim motuum

fpiis in Zodiaco rcfpondcnt Egna ρ

A.6~gr. 3/. 40//. 38///. 7.

Ao^Tivc

176.-arlTafJ ( pro minutis rcliquis

anl^afrentibus

adiumto fcrüp. fecundoj

ρroqu a ηtitareanguli

FiKt,

quib

us a

18ο. _{gradibus demtis remanent 3 gr,}

56/. 19 pro magnitndine angulorum Η & _{F, per primi}

_{Euch Et}

quo-niani _{rriangulurb Η Κ F. eft}

_lfofceles,

jdeoque per 5- primt

Eucl.

anguli

H.

&Τ iunt _{sequaScs finguli 1. gr.}

58j

$//·

Anno

denique

1646

^jülii

tc _{por£ mcri^iifno}

_obferv^rionc

_Booo'

ipfHt;ut?

Ofprchepoir

jUcciolpsSp'

J&81

MV R iub

Leonis gradu

p.

5.gr·

#4i>

_{«isfiweiw.*»? f&dWP»%,·}

_.S'

*3

guli Ρ

AB

valet

115 gr,

14/,

quantaeft

diftantia veri locifolaris ab

intededlio-ne verna, & arcus PD ad

femicircu-lum refiduus_j

_menfura

_anguli

_HAD,

$4gr. 46/.

Ab

hac obicrvatione

circa

mendiem habita ad fequens

sequinofti-umdie 12 Septembns hora _14. 556/

poft

mer. Anni 1646. (ut _ante

di&um eft

\

obiervatumcffluxerunrdies5 6/,H.14. j6»

quibus motu medio

reipondent

iign·

I. _{25 gr.}

48/. 33//.46///·

₁₇ 18. 48.

leu

55 gr, 48/34//. (adiumto

fcrup.lecun-do _{pro minurorum}

_{appcndicibus}}

_pro

arcu RH.qui

eftmeniuraanguli

RKH

feu RKS. Additis deiode angulis

ICHA i _gr.

5-8/

<jl/.

30)11

&HAR

54 gr. 46/

cxfurgit

fumi^u

56 gr.

44/.

yl).30///. qua per 32

primide

180.

ab-lata , reiinquitur

angulus

Η S

A

_* 113 gr·

if/. 50II 30///. cui

sequalis

RSK

per

28 & _{19. Primi. Et}

_hoc

_ver

fa vice

_a

180_{gr. demro jxman^t}

ASK

56 44/

9(1' 30//» Clli sequ^Us

RS

Η

per

loc·

cir. Primi. Et Turfus fjubtraitis angulis

RSK

_123.gr30.£

_RKS

_5fgr.

48/ 34(i de180gr. reiht

anguiui

SR

K

ifk 3itk 3®ifl·

Cogauåfi iUqUÉ

·*!*·

14

gulis fcitu neccßfariis Ecccntricitas

AK hoc modo _{inrcftigatur. Pri*} moitaquc intiangulo K RS, data funt

Radius EccchtriciK_R,iooooo_partium, anguli R SK 123 gr» 15I 50//. 30///» SK R _{5-5gr. 48/· 34///♦ & KR S 55 gr}

35:/. 3o//,quacritur Latus SK per axioma.

2»Pitifci. Dico _{itaque;Ut finus R}

_SK|id

radiumjlta finusjKR Sadlatus S K 1913. 8. 2040703

10. oooooco

18.1040703

9.9123549

8.2817154,cuimutata cha-ra&criftica _rcfpondent

1913, quibus a radio _{λοοοοο,partium dcmtis relinqui*}

tur latus SH _{98087. Porro ex hoc la- r} terc åt_{angulis ΗA S, feu Ρ A D}

5*4gr.

46/, & SH A i.gr.5-8/ invenitur latus

S A _{4111 partium per idem Axioma.}

8.

4-9916114

IJ.5*7134*

9.91 ii 107 (rcSA.

3.61501i5 4121 pro

laté-Et tandem_{per Axioma III. ex cognitis}

duobus lateributSA&SK cum _angulo

.

15

ab iis _{comprehenfoS, rcpcritur} Eccen-tricitashocmodo.

4121 4121

1913 19»3

Sum.Lat.6o34,difFcretia2208, Angulus

KSA _{f6 gr.44/,} dimidiafummaangu-lorum _{incognitorum 61.gr„ 30/, E)us}

Tang, 10.2676494

3- _345999I 13.6116485

3.7&Q6053

9.83104^!

34. gr,

7I,

Qvibusdc6i,gr. 38/,

ibbrraSis

rcma-nct _{magnitudo anguli SAK 27gr, 31/,}

additis vcro _{emergit angulus SKA}

j

95'gr*

45"/

pico

deindc

pcr

Axioma

2, t Ut _{SKA95·,gr.45/ad latus S A41.21;} Ita KSA _{56,gr. 44/, ad} Eccentrici-tatcm AK. 9. 92227-1 3. 6150026 13» 5371747 9. _9978093 3.5394654 cui rdpondent

3463 proEccentricitatc, qualium radius

KNeft 100000.

HancEcccntricitatcmaliivariabiicm

ftatuunt,

alii mutationen* hactcnusob·

fer-i6

fcrvatarri tim _pVrvam

_effe

_{putant, ut}

vel _{neglcdui refraffio'nis& parallaxeos}

Vel

_IHfmmpnt

_orum

_delfeftui

_adfcribi

poflit, praecipuc cum nullo

iolido

ar«

gumcnto Πveex obTcrVationibus

foliU·

tiaTTbus» mve ex incfctfrento &

afeciféj

mcntoumBrarum in _Eclipfibus

probari

poiTit.

t. VIII.

MotusApogciannuusfacilc

innofeiciti

fi ele&is duabasobfervationibus _Apogei

longiifirao intcrvaiio 'ä Kluis per regu»

lam _{propx?rtionum cuilibét anno}

_fiims

rnottis tribuarur._c.g,

Albatcgnius

_Armo

Cbrifti _{883. obiervavit}

_Apogeum

_folis

in ix _{gr, 17/. Gcminorum, hoc}

confe-ratiifcum _Apogeo

Riccioh1^

julii

Aoni

1646 in7 gr- x6/* 15-// obiervato. 7gr. 16/

i/ll

o o Π XX 17 f / 15 y* 15. Diltatuia iocoruii a I646 fi Π i.'A 883 in'terjé£U ,

Refoluti _{gradus 15 cum}

_adjunäis

9I

iätcrcc-■I?

dentes.afq;

de

inqvoticnrcemergitånuus

motus _{Apogci 1/11//30///2.2141.47.294}

48.i1. Verum cum hane obiervatio*

nem _{Aibatcgnii &} aliorum Veterum

Longomontanus &Kepplerusfufpc&am

habcant,

aliam ingreiTi funt viam, rati

Apogeum

circa mundi exordium fub

Arictis initio a Deo eonftirutum fuiffe.

Nos _igitur

_modum

_{huncfecuti ftatuimui} fecundum T^toum in fua Chrotiol.

mundumannisante natumChriftumcori ditumelfe _{4002, qvibus}

_fi

_{addas anncs}

inter nativitatem Chrifti& obiervatio* nem

_Riccioli^

_{Julii Ann 1646,}

qvando

Apogeum

erat in 7 gr. 16( 15// Cancri,

ißicrjcdos* una cum

biennio,qvoTer-fettfs vult communem Epocham

arftc-ycrtcrcevadunt 5650, qVibus Apoge#

ab interfedione verna _progreiTum

eft _{motugeqvali97gr.}

_{26/15//. Arqvc}

fic_{inftituto cakulo fecundum regulafnj}

Sttrcam-; _prpportionis

_innotefcit

_ari*

hnus _{mptus Apogei}

_{feil« 1/ ^[|'}

j-Ä

17. V·'·:

§ IX.

Ad _{inacqvlitarem}

_dierum

_qvoqve

facit

_{Eclipticaeobliqvitas}

_ad

aeqvatorem. Namdies _{folaris cxa&auna}

revolutione

seqvatorisnonadhuc _{perfeäuseft,} quin

infuperad_{complcmentum funm}

reqvi-rateumarcum _Eclipticae,

qvem fol in

confeqventia proprio motu _percurrit. .

Et cum arcus _inaeqvalcs

aeqvatoris &

Eclipticae propter variumad feinvicem

fitum _meridianum

fubeanr,

ut ex Glo*

bo coelefti & _{tabulis adfcenfionum}

rc&arum patet, _{necefTe eßetiam addi·}

tamenta _{revolutioni aeqvatoris addita}

inaeqvalia

_eiTe,adeoqvc

_{dies folares}

Ion-Π ^gitudine differre. _{Obliqvitas Eclipticae}

maxima _{2.3 gr.}

_3oinvchitur,

fi altitudo

(>

i folis _{meridianapci:}

vcram _{parallaxin li·} mirata _{iubtrahatur alitudini}

xqvatoris,

fivccomplemcntoelcvationis

_{poli. EG#}

obfervavit _{Tycho Brahe die}

11 _junii

Anni ₁₅₉₃

Uraniburgi,

cujus altitudo ^qvino&ialis _{eft34gr. 5/3o//, clcva*}

tionem iolis 57 gr. 3 511huicjun&a _paral·

laxi non _{Tychonis 1/}

$f) _{qvippc quam}

Kepplerus

& Ricciofus nimis ma·

g: am

elfe

adferunufed Riccioli _30//cx·

furgit fumma 5 7_{gr. 35 /30// hinc}

ab-lata altitudine _{xq vätor«}

*9

ca _{rchnqvunturi3}

gr. _30/pro maxima

ObliqvitateEclipticae.

Hane alii

muta-bilcm_{eflevoiunr, aliiautem}

conftantcm

autumänt, _{probantcs obiervationes}

vc-tcrum_{quorundam cum}

reccntioribus in

minutisdifcrepantes

ab errore _immunes

non_efic;

q vorumnos_{quoquefententiam}

probablerem

exiftimamus.

§. X,

Ad hastres _{fupra commemoratas}

injeqvaliratis

dierum cauflas, videlicct

inacqvabiiem

motumfolis Tub _Ecliptica,

progreilhm Apogei& _Perigei,

obliqvi-tatemq; Ecliptic?e;etiam alii variam in

iphaera

obiiqvaaddunt

Horizontis

obli-qviratem, una cum _{parallaxibus folis}

Horizontalibus, _{quaeprodiveriitatctern»} poris & vaporumcirca horizontem

mu-tantur; at circa _{4$ altitudinisgradum} infenfibiles funt. Verum cum

Mathe-matici dici inirium cerras ob caulfas a meridiano _{fumfcrint, cenfcmus ex his} cauflis nullam in dies _{insqualitatcm}

derivari. Nec _{defunt, qui ad hoc}

i-dem _{eificiendum etiam}

putant varicta-tem _obliquitatis

Eclipticae,

Eccentri-citatis,

motus _{Apogci & Perigei}

curre-ΙΟ

eurrerc. Verum cum in duabus priori-

\

biiscauflis nullam mutabilitatem, in

pofteriori nullam inaequalitatem agno»

feämus, Iiis reli&is _{putamus tres fuprä}

allaras rationes _{inaequalitatl dierum}

cfficiendae iufficere _pofle. f. XI,

Pofita cx _{fupra di&is dierum}

inaequa-litate non _{potuerunt Aftronomi diebus}

adpalentibus pro communi

&certamo-tuum cocleftium menfura uti. Diximus

enim antea folem a meridiano _digres·

Tum non ad _{eundempnusreverti,quam}

revolutione _{aequatoris exadta, arcus}

Eclipticae proprio motui reipondentes

confecerit, qui _{per annum} colle&i im tegram revolutionem a-quaroris

coniH-tnunt. Et _{quoniam hi arcus inarquales} funt: _{progreditur enim foi in Apogeo}

quovis die57/, 3// in Pengro i.gr, i| %ofl♦ ideoque neeeife habuerunt Aftro-norrii dies ad _{aequalitatem reducere ad·}

fumen.do additamenta inter majora &

minora» media, nempe pro fingulis diebus _{59/ 8// ic///, quantus ie. motus} diurrias mediuseftin _Ecliptica f qui per

aurea m_{ptoportionis regulam}

_bpc

modo

inno-Innotefcir. Ut $65 D.vf. H.48/ 40//ad

360» Itai.D, ad 5-9/8// 2o///#Qu2e ad-dita ad _{360dantlongitudincmdiei foia*} ris 3_{60 gr.} 59/

8// io///t Hf

_c

in

tem¬

pus per ijr

converfa

exhibent

quantita-tem diei

_{ioiarisfc.i^H.}

_{3/ ^6// 31///.}

#♦ XII.

Utuntor _{ergo Aftronomi roediis} diebus reducendo tempus adparens

ad medium hoc modo. _Quaeratur

ad _{propofirum tempus motusfolis tum}

medius, tum verus, cum ejus

adfcen-fione re&a. Si dcinde difterentia nie·

diorum rootuuro» gequahseftdtftcrentiag

adKcniioqum, tempus adparens nulla

indiget

aequatione, quia per

feaequale

ed, Sin autem diffcrcntia adfcenfionutn

major eil difFerentia mediorum

mocu-üm,exceftum intempus folarc convcr-fum _{j,ungatur rempori adparenti, (in}

minor _{auferatur, Contra tempus medi¬}

um in _{adparens hoc modp}

convcrten-dumeft»Siadfcenfioredta eft majormota. medio, difFererma fubtrahaturtern«

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