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# Title: [Observationes Diametrorum Solis Et Lunae Apparentium, Meridianarumque aliquot altitudinum Solis & paucarum fixarum] Observationes Diametrorum Solis Et Lunæ Apparentium, Meridianarúmque aliquot altitudinum Solis & paucarum fixarum (shelfmark Leibn. Marg. 130)
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1O2 LIB. I. De ooservandis Luminarium Diameeris apparentibus.
Irem Solis declinacio inrestiganda est, rudi Calrem Minerra, idque
Sufficier, paucis enim scrupulis à reritare devians, nihil ricii in obser
rationes ingeret.
Diameter Solis apparens nota fit, tum e numero vibrationum perpendicult
Borario: tum e moru Solis horario circa poles sEquatoris: e ex vibrationi-
bus numeratis (quae sunt mensura elapsi remporis) interim dum totus solis
discus perrransis planum determinari circuli horarii: arcus enim à centro
Solis interea peraeratus, ipsius est Diameter apparens in plano proprii Pa,
ralleli. Nam, per auream reculam,
Ee se habernumerus simplicium vibrationum horarius,
Ad morum Solis horarium circa polos Equatoris:
Ira vibracionum simplicium numerus ex observarione invenrus,
Ad arcum incerea peraoratum a centro Solis in Luo P arallelo;hoc
est ad Diameerui Solis apparencem in plano ejusdem PargIleli.
Si sol ab A quatore nihil declinet, tune Diameter ejus sic inventa vere
tanta est: ex ideo alia reductione opus non est. Si vero extra SEquatorem
verserur, tunc sinus semidiametri ejus in plano Paralleli invent a minuendus
est proratione, quam habuerit radius Paralleli ad radium sequatoris. Est
enim, Ur sinuo torus, Ad sinum distantiae Solis a polo SEquatoris: IIa sinuS
Semidiamerri Solis apparentis in plano Paralleli. Ad sinum semidiametri
Solis apparentis in plano circuli Sphaera maximi.
Fsto GA D maximi circuli Ouadrans, ad G A P. maximi circuli
Duadranrem, sc inclinarus, ue Sol, cujus cenerum in B consticuitur,
cangar superticiem Ouadrancis GA F. Connectan-
CUF D _ F urriulque Ouadrantis cermini arcu
AEquaroris D F: cujus bini radii xquales sInEGD,
e GF. Agacur quoque per B cenerum Solis, ar-
cus BF paralleli AE quarori: cujus biniradii aequa-
les HIB, _ FIF comprehendancangulum lemidia
metri Solis apparentis in plano Paralleli e cenrro IL
delcripei. Denique ex B arcus perpendicularis BC
in AP: ec valcerur criangulum Sphaericum ABC rectan
xullim ad C. In eo habebimus racus AB, distanciam scilicer Solis a
Dolo Equaroris: _ angulum BAC, qui angulo BHIF ex obserratione
cosco requalis est, ob commnem ad II _ A, Superticiei Ouadran
ris AD, ad supCM aaIS C A F, inclinarionem. Ouam
emie
sine
s
s
pur