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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)
# Folio 290, page id 1016735707:0306
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C TB. LI. Observationes Diametri Lunae apparentis.
rectilinei lacera proporrionalia sinibus angulorum oppo
SITOTUM: _ CONEFZ Ouace sinus angulorUm ACB, et BAC.
lune proportionales laceribus AB, _ BC. Per candem
racionem, Cinus angulOEum ADB, eE BAD LIINE PEOPOE-
tionales laceribus AB d BD: e conlequenter ipsiS AB
_e BC. ErGOS PeT LF PTOD. S Elemenc. linus aneulorum
ACB, _ BAC, SnibuS anSuIIOrUI ADB, _ BAD TUINEPTO-
Porcionales.
Cum igicur derne ex observatione angulus CAF,
TCFUP. 32 53, dacur quoque ejus lemissis (crup. 16 26
Qua SUCaMUE, pro angulo BAC (parum enim inter le
differnne) nocus hec angulus C AD: id est differentia an-
SulOrum CAF obserVaTI, _ DAF. Diameeri L unx PlenX
apparencis in plano Paralleli vifi. Leaque in crianoulo
obliguanoulo ABC, habemus angulum BAC, (CraP. 76 26:
e arigulum ACB Scad. 100 6314: _ in criansulo ADB,
angulum rectum ad D: Onare per analysim criangulorum
nocus hec ansulus BAD (crUP. 16 44. Nam,
Vi sinus anculi
AC. B
Ad sinum anguli BAC
Trasinus anguli
ADB
Ad sinum anculi BAD
Differentra BAC es BAD
srad. n Losarithmi.
100 43 14 9,99235,3
016 26 7,67945,
90 0 0 10,00000,
O76. T4
5 18
27,67945,0
7,68709,7
Eridens iditur est angulum BAD majorem fuisse angulo BAC scruP. secundis 18
ideoque corum angulum D AF roridem lecundis obserraro angulo C AF. Fuisle ma-
jorem; sed CAE oblerrarus est (CrUP. 3253: ErBODAF Diamerer Luna apparens
in plano Poralleli visi erac (crup. 33 Tr. Duod demonstrandum fuie.
Porro lemissis hujus est (crup. 1635=: de distancia visa L unx a polo A quaroris
ect Erad. 72 2. f 33: UInde Sequieur lemidiamerer Luna apparens e (upertcie FCrTX
Eccup. 25 49. Nams
D+ sinui rocus
Ad sonum distantiae Luna a polo AEgnatoris visae
srad. n Locarishmi.
72 24 33
Tra sinus semidiametri Lunae apparecis in plano Paralleli vist 0 26 35
Ad sinum semidiametri Lunae apparemis in plano ma-
Iximi circuli e superficie terrae per centru Lunae descripri 015 4)
9397920, 2
7, 68361,4
7366281,6
Ergo Diamerer Luna apparens e superticie rerrx erar (crup. 31 38. Ouam pri
mum Ccire cupiebamus.
C ON S ECF A R LU M.
DIAETEE LHNX APPATENS E CENETO FCTEX Criam EuNC exAE PCrWP, 31 24.
Dacur enim ad lioc idem cempus, ex octaro calculo, distaneia Lunae a verrice vila
Srad. 65 36 26: e distaneia L una a verrice vera erad. 64 41 54: habetur quoque
ex obserratione octari semidiamerer Lunx apparens e supertcie cerrae Lcrup. 15 49:
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