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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 279, page id 1016735707:0295
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Mod.
et
I15,
LTB. L. De Diametro Lunae apparenti observanda.
inclinationem: Malliobrem per leses Trigonomerrix, BOLIM ACE
AIECFHTE Lacs C, id est angulus BO, Pemidiamerri LUNR APPATCMEIS
in plano circuli spala maximi ex obferracorio C descripei. Nam,
Ad Sinum lateris AB distantiae Luna visa a Polo Se quatoris:
B. AC semidiametri Luna apparets in plano Paralleli vist.
Ad Sinum is BC. semidiametri ejusdem apparentis in plano maximi
sphaera circuliaperficie terrae percentrum Luna descripri.
Duod crat demonstrandum.
FTane ita oblet vacamm necellerio conseguime Pemidiamerer Luna
x, minor aliquanculum obserraca, differencia ex
da: pendec aurem minor illa emidiameter à
tice cum visa: cum vera: e Pemidiametro ejus-
dem apparenti e supethciererrX. P. A enim, UE Sines distancix Jyp~
ll Lilluta
iti
sinum distantix L. unxe verxe a vertice: lta Sinusse
Parentis e superticie cerra, Ad Sinum Cemidiaie-
CCHEFO FCETX.
Duod uc perspicuum Aac, delcribacur ex A
CCHETO TEEEX, Quadrans circuli cerrae maximi l G,
_ quadrans circuli verricalis FFI, per verticem
E,  centrum Lunxe B: describatur quoque e
centro B discus luna CDC: SicoculuS F in super-
AICIC CCEEX COnAIECS, a quo ad cenerum LVNX B
AUCaEUE recta FB, SICUEi aB A CCHETO FCFEX, ad B,
recta AB: rUrIUS ab F corediacr recta F C Fan-
ensLunam in C: _ ab A recta A D cangeNSS-
militer Lunam in D, cum quibus Pemidiameeri
BC. BD Factane ansulosrectosad C ec D. Icem cenero B; interrallo
BF, delcri
C CirCHM aCUS FI, rectam AD sccanS in L, punctaque
B XI junganc LeI. Tunc, quia bina criangula BCF, SE BDI
luncrectansula, ccrunque, per 47 primi Flem. Fuclidis, habet qua-
dratum sux balis x quale quadracis suorum larerum: Sed balis BL ba(1
BF FactacA
egualis, ex latusBD laceri BC: Pr3O Per 3 aX. lacus Dlaequa.
le estlateri C
erimi Flem: 8
nomni erian
eE SiC duo triangula BCF, e B DI se habenEj uXta A
angulus B ID, anoulo BFC, est xqualis. PexterCA, cum
ilo rectilineo, lacera sine incer se, uE sinus ansulorum.
v
Ui Sinus totus
Ita Sitas angul
Ad
aPpare
ISCC
cerogui non sp
Iltancia LUNE 3
vila a verulce:
MIdIAMCCM LuT
1