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# Title: [Quo Continentur Claudii Ptolemaei, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunae, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Graece & Latine Edita, cum Notis ; Accedunt Epistolae nonnullae, rem Mathematicam spectantes; Et Opuscula quaedam Miscellanea] Quo Continentur Claudii Ptolemæi, Porphyrii, Manuelis Bryennii Harmonica: Archimedis Arenarius, & Dimensio Circuli; Cum Eutocii Commentario: Aristarchi Samii, de Magnitudinibus & Distantiis Solis & Lunæ, Liber: Pappi Alexandrini, Libri Secundi Collectaneorum, hactenus desiderati, Fragmentum ; Græce & Latine Edita, cum Notis ; Accedunt Epistolæ nonnullæ, rem Mathematicam spectantes; Et Opuscula quædam Miscellanea (shelfmark Leibn. Marg. 100:3)
# Folio 580, page id 867984570:0608
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580
quam duplus ostensis est unemus lIL (per
polterius Lemma.)
FDEE major erit.
FreORDL. ansulas un alo
eROPO3LLIOV.
Cum luna dimidiata nobis apparet, tcta
maximus circulus, qui est juxta determinan-
tem in luna opacum e plendidum, in visum
nostrum vereit: hoc est, maximus circulus,
qui est junta decerminantem, 5 noster visus,
in uno sunt plano.
Vna enim dimidiata existente, apparet cir-
 culus determinans opacum ee splendidum
iptius, versere in nostrum vitum (3. posit.
e ab co non distere circulus maximus, qui
elt juxca determinantem (4. Bujus.) Cum igi-
tur luna dimidiata nobis apparet, tunc circulus
maximus, qui elt juxta decerminantem, in vi
Tum noltrum rergit.
PROPOSTTIO VI
Luna infra solem fertur, C dimidiata
existens a sole minus quadrante distat.
CIF enim (FiB. 25.) noster visus ad A, E0.
a lis autem cenerum B: _ juncta AB, per
iplam, e per centrum lunae dimidiacae existen-
tis, planum producatur. Faciet utique sectio-
nem in sphaera, per quam tertur centrum (o-
lis, circulum maximum. F’aciar ergo circulum
CBD: ee a puncto A ipli AB ad rectOS an-
Sulos ducatur C. AD. Ouadrancis isitur est
circumterencia BD. Dieo lunam intra Colem
Ferri, ee cum dimidiaca existar, minus quadrance
a Pole diltare: hoc elt, centrum iptius intra re-
ctas lineas Bd AD, _ circumterenciam DE. B
contineri.
Si enim non, sie centrum iptius P intra re-
Etas lincas DA AL, _ BE junSACIT. RrIC ergO
BF axis coni solem et lunam comprehenden.
ris: atque erie perpendicularis ad maximum
circulum, qui in luna opacum ee splendi-
dum determinat (ex demonstratis ad 3. bu-
Orar n OExton dyoroUOS nuir paiin), 10
TE O uer5OS noXN (B, o a 3y Z doéi Eorra et
Tn OENIIOn Z ZE onrCet iy 20 Nauoe  au rnS,
revet a5 r nuereear o FBTESII, d   Y
Sioet (orra posoS nnNOS, y n nue re ss,
et eri aoir neS co.
es ud dixoriuus Zons X ocplons Paivers 
det CV Z Naproe n X ourspov D oE
XlonS KXA O) vevcor eis rlui ueripar ol, nas
aurud à 2) a Dopos e5 o 2 9. Y does Corra peEzsos
NVKN (O. Orar apa n ocnlin dixorouos huir pai
VnrI, TOTE O pEZISOS NNN (O 0   doei
Corrae revet eis rui ueripar olu.
FL OENION K_TCOTECBV DEpC)S na 18, iy 8170-
TouOS Soc ÉMaesoN TraPueS à neZ l Zid
S nais.
BcBNndco 2I exBCBNnac 2)a D a B i, _ VEVZPS
Pocalions dixorous sons ddo nomod du rouyv
et in 0paipae, nab n5 DEE) ∞ vevreor 8 nNs
KUKNOV MEZISOV. FoieirCo SV F Y B dXVKNOV nay
drd 8 a rn aB reos opdas nX con Y a d. Tera
ryuoéss aex esi n Bd WE Depe. Neyco on n
ornlcon xarcereper Dépery 8 yNIS, C drxorouss Bou
Enarer rerapquoets anEx ) dro rS iNiS TBTESN
on x verrGOV. Esr avris pra Y Ba a d eu-
Ddcov, nai rus dEB E. Depeta.
Et id pon, E5co X VerreOY avrS X Z pa X
a a n cidcor n eCuxbc n BQ. n BE àpa
aEcoD E S cEIMaPEdarerTOS KVS FoY Z i NcoV CC r
oExjulus nai rivera n B 00dn n505  delovt
et Tn DENHO 1TE OKIEPOY (C X NAMENGOV, ueg
sus.) Sit iSICUIE MaXIIUS circulUS In LUINa SOV KIKNOV. ESCO SV O NEZIGOS NINA O eo 2n oE
juxca decerminantem opacum et plendidum nnon o  39. 7 dee   orra to re ORIEpOr , Y nap
GIK. Ec quoniam luna dimidiaca exiltente,
maximus circulus juxra decerminantem in lu-
na opacum ee splendidum, e noster visus, lune
in uno plano (5. Bajus,) junsacur AF. F-
B0 AP est in plano circuli KCHI: est aurem
21G0, 0 HX nGI enEI diXOroUS SOnS S OEK
Tn GEAAM Id E OKIEPOV H Y AaEOV, (C H HpeE
as. er eri cion Snedco, E cuxdcon à 2
n a aea et red 3  nB ninds esir Sanidcs
1
AR IS F A R C HVS S AM IV5.
est angulus ADL: e aneuli RDM minor vxo  d X D de vXo Dd ENCSCON  dhcopa
oro Ebe  B+dCd d. Iae BB 1b  po
at d ca
2rco qd n nueripa orus oees x a nnis de
AXEVECON ~ B. n dCaXBCO na ( (= ex
rnS, o pEyIGOS XIKX G) o c 9 r dues Covra cv
 Cor paculien eriam oetri vil
bS0p.