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# Title: Nicolai Mercatoris Holsati, è Soc. Reg. Institutionum Astronomicarum Libri Duo, De Motu Astrorum Communi & Proprio, Secundum Hypotheses Veterum & Recentiorum præcipuas; Deqve Hypotheseon ex observatis constructione (shelfmark Leibn. Marg. 63)
# Folio 190, page id 820424455:0212
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ASTRONOMTA.
ib. L
horum quoque locorum distantix verxe, anguli scilicet a 5b,
b56, a56. Dantur vero etiam medii mocus Solis consiu
entes incerrallis remporariis obserrationum ab, bc, ab
quae quidem interralla ex acnotacis obserracionum momentt
nota lunc, habenique eandem racionem ad cempuS 1OII
rerolurionis Solis, nimirum ad 365 d. 5 H. 49M.
ansuliafb, bf0, a fc, habene ad eoram peripheriam.
1a1
retere, quod de secundis d certiis. Supra horas de minu
Periodi Solis, lis est incer AAronomOS, ca enim hic
inctar habene. Dacis aurem hoc modo angulis ad.
centro f, incerrallo fA aequali de linex tori ap (idur
cinetur peripheria ABC.C, quam productx c foco
b, c, rectae secent in A, B, C; jungancurquesA, sB
Erumtriangula sa A, sb B, scC iloscelia; quandoc
ex nacura ellipseos ipsi de (i. c. f A) aequatur sa
quare ablacâ urrinque fa, rectats a = a A. Fr∞C
Sulus fas (exterrius (c. triangulo a A 5) duplus erit a
a A5, ec per eandem rationem fb s, duplus crit
bB5, denique fcs duplus ipsiuscC. s. Autex jam ar
asb ab afb, e rectabir summa angulorum sa fc
Nam angulus sa f est differentia partium af d e as
alcer angulus sbf differentia caterarum parrium b fdC
Juare cum dencur rori anguli a sb e a fb, dabitur e
ma differentiarum sa fec sb f, quarum dimidiorum
e sBF, Cive as A _ bsB summa addira angulo a
ansulum AsB. Ec Cimili raione invenientur anguli
_ASC. Datis autem hoc pacto angulis, quos recta
urumque focum efficiun eductae ad A, B, C; producat
asin C, junsancurque B C, C. 6. Primum in eriansu
sBC datorum angulorum (liquidem B sC est complemet
rum daci AsB ad 28O gract. _ sO B dimidius est dalu
A fB) actumatur sB pro arbitxio quotcunque parrium, pula
200000, invenietur per Trisonometriam sO in iildem par.
tibus. Fursus in triansulo sC G dantux L. sO modo In
venta, 2. CsC complemencum dari A5 C ad 180 514d.
B. SC C dimidius dari A fC; erso invenietur sC. POrO