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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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L. IB. II. De Diametro Lunae apparenti obser vanda.
quem Luna centrum interim percurrit, Diameter ipsius est in plano Parallelie su
perficie terrae vist. Nam per reculam auream,
ut se habet numerus simplicium ribracionum horarius,
Ad tocum Luna hotatium circa Polos sguatorisvisum:
lca ribrationum simplicium numerus ex obserratione inventus
Adarcum interca peragratum a cenero Lunx in Parallelo vilo:
hoc est dd Damecrum Luna apparencem in plano ejusdem
Duod s Paralleli hujus, nave declinatio nulla sit, tunc Diameter illius sic
invenia vere tanta est ideo que retimenda; si vero Luna exrra LP quatorem appa-
renter verserur, tune sinus semidiametri ejus in plano Paralleli vist inventa
minuendus est pro ratione, quam habuerit radius Paralleli ad radium A quato
ris. Est enim, Vt Sinus torus, ad Sinum distantiae Lunae visae a Polo A quatorisi lld
Sinus semidiamerri Lunae apparentis in plano Paralleli vist. Ad Sinum semidia-
iri Luna apparentis in planomaximi sphara circuli e superficie terra per centrunt
Luna descripti.
ECO CAD maximi circuli quadrans, ad GAF ma-
Ximi circuli quadrancem, sic inclinatus, uc Luna, cu.
jus centrum in B consticuitur, cangac superficiem
quadrancis AE: conectantur D e L urriusque qua
drantistermini arcu Equatoris DE, cujus biniradit
xquales sinc CrD, _ C, F: a8acur quoque per B centrit
Lunx, arcus BF Paralleli Equacori, cujus bini radit
xquales FIB ex HI F comprehendant angulum BIIF
lemidiametri Lunx apparentis in plano Paralleli ex centro FI descrt
Pri. Denique ex B, arcus perpendicularis BC emicatur in AB; et nalce
cur criangulum sphxricum ABC, cujus soluTiOnCM aNtEquam 2SBFC
diamur, advertendum est, quod arcus, ex quibus adjunctum schema
componirur, repeaseneant circulos non e centrorerra descripeos, led
loco obserrationis concentricos: Nam omnes, excepto Parallelo,
centrum commune e habent in cerrx superticie, unde Luna spectatur,
EE NON IN CCNErO cerrX. Ouibus praenotaris, relumatur criansuluM
sphxricum ABC rectangulum ad C. In eo haberur ex calculo lacus AB,
dictantia scilicet Luux rila a Polo AAgnacoris: ec ansulus B AC, qui
ansulo BFIF ex obserratione coonito, aqualis est, ob communem aa
EL et A, luperficici quadrantis GAB, adt superticiem quadraneis  AL
78
Paralleli.
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e
Sinus 1
A
Sit
dinus
dad Si
Aehera