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# Title: [Astronomiae Physicae & Geometricae Elementa] Astronomiæ Physicæ & Geometricæ Elementa (shelfmark Leibn. Marg. 124)
# Folio 183, page id 1040780814:0201
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CMM est 
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Lib. II.
eE CTEOMETRLCA L. LEMKNFA.
suluS PMS modo inventus, et latus em prius inventi arcis ZM, C
diltantia Poli a Zenith, nempe Z. P Cumma vel differentia: innotelcet
isitur tum arcus Ps, sire, quem hie mecitur, ansutus eTS inclina.
tio Axis PT ad planum ERSC; hoc elt, Styli Ansulus quaelitus; tum
latus M5, Sre, quem hoc menturat, angulus rectilincus in Scioterici
plano sTM comprehentus inter rm lineam Moridianam prius de
terminatam ee Sublylarem rectam TS, cui nempe insistens planum
Cinomonis PYS, Cujus acies altera est Mundi Axis P rumbram Fa-
ciens, es ad Scioteriei planum normale. (). H. F.
PROPOSETIO ZLTI
Nvenire anculum, quem linea TTorae datae comprependit ete
Meridiana in plano Scioterici; ( inde Loroloeium Seiotericum
in dato plano describere.
Tisdem manentibus, sic circulus FTorarius BeB, cujus plani cum pla-
novolitione dato me intersectio rB quaeritur. P. X data circuli hujus
Hlora datur angulus se B vel meb, quem hic cum Meridiano com
prehendit. In triangulo isitur spharico
PMB, danEUT (ex PTOP. PrAeC.) LaTUIS PM
ec angulus PMB, C etiam angulus MPB.
Invenitur erso arcus mB; e, quem hic
metitur, ansulus rectilineus in plano Sci
oterici mrb, quem linea Horaria YB
cum Meridiana Y M continet. Datd erso
(Per PTOP. PrXC.) Poltione rM recta, de
terminabitur rB linea FToraria qua sita in
Scioreriei plano dato. 9. F. F.
Atque hoc modo Horolosium Solare perficitur, Meridianam et
Substylarem (Per PrOP. PFAC.) ex puncto pro centro altumpto du.
cendo, ec super Substrlarem rectam Sertum in ansulo, Der Pra.
ced. etiam invento, erisendo, reliquasque FTorarias in ansulis cum
Meridiana 2m per ProP. hanc determinatis ducendo, propriisque
numeris notando. Sic rB cAt linea PTora undecima post mediam
noctem, si PB circulus sit ad orientem Meridiani PZH, cum illo con-
tinens angulum LsE; hoc eA, Ii rB sit ad occidentalem lineae Meri
diana rm plasam, ec angulus MPB in superticie Sphaera Fse. Si
militerque rx ad ealdem parres sita exir linea FTorae decima, si N P X
CIC 30; _ ita POrrO.
PROPOSTETO XLIV.
Orae datae lineam ducere in Llorolorio Scioterico, cujus planum
LA per Polos transit; e inde Sciotericum Polare describere.
Ouoniam circuli horarii omnes in Axe Mundi se mutuo inter.
secant, hic aurem Axis semper est in plano Polari; patet lineas TI0.
rarias, in tali plano, omnes in ilta recta reperiri: Verum ut dis
CFCEX sint, non cum Substylari contusa, concipiendum est Ilorolo.
sium non in ipso plano imc per centrum tranlcunte describi, (ut in
omni alio calu,) led in alio plano inr priori parallelo e proximo;
ade0