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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 574, page id 867984570:0602
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74
A 2OEHLeOS S A A103.
puta ad A, mansn a dao aneut rect
erunt, qui ad C. e qui ad A. Si vero ad par-
tes AX; obtusus erit qui est ad C: nam si ad
centrum a juneatur recta, quae extra eant
cadit perpendicularis obtusum faciet anculumt
ad C aliumque rectum ad pulto mud in
quod incidit.
SCTOLTUM Codicis saritiani.
Anisestum auters est quoa LiL.  L
 neque ad circulorum centra cadunt, ne-
que ad partes AX BC. Si enim ad centra,
PROPOSIRIO II
17
2.ZOATON Cod. S
Hnor de ori n y N n, i 8 pes BXC NaTa F
NEVTECOV NEMISOL Z HVXXCoV, 3I em  aE
vepn ei pd id em X vErrOcOV, oicv
28 a Terroors r à n y ai des zattas sa
or), in rE MPD 5 FCd Y C i MpoS TW a et de EM 
aE pocon, apbNeta d en  poS F Y 
XDcions qd em x verreo X a Eodéas, exéon ehCor
por nnoa apNeiar notei Ti poS TC Y adeoS
Soc, i Erepar ophij rlu erpos o mintet onueter.
Si sphaera ilumatut a hoosoto sphatio
major ejus pars, quam sit dimuda sphaera
illuminabitur.
rehara enim (Pic. 4.) cujus cenerum B 2
cujus cencrum B, dmura spala Masorem elle
Duoniam enim duas inaequales sphaeras idet
conus comprehendie, verticem habens ad mi-
norem (phaeram: (per praeced.) sic conus sphae-
ras comprehendens; e per axem planum pro-
dueatur: 2 Facier illud sectiones in sphaeris qui
dem circulos, (L Sphaeric. Theodos.) in conc
autem crianeulum (3 pr. T. Conicorum Apollo
nii.) Traque faciae in Sphaeris circulos CDF
FCHI; ee in cono criangulum CFK. Mani-
Feltum est porcionem (phaera, quae cst ad FOFI
circumterenciam, cujus balis circulus circa dia-
MetTUM FFI, parrem esse illuminatam a pOr-
cione quae est ad circumferentiam CDF, cu-
jus batis circulus circa diametrum CF, rectus
exiltens ad iplam AB. Ecenim FOTI circum.
Ferentia a circumterentia CDE. illuminatur;
quod exrremi radii Tunt CF RHI: acque est
in portione FCH centrum sphaera B. Ouare aatns c oit YC, EB. _ esw ev r L nd ruy-
pars sphaera illuminata, dimidia sphaera major pt soactrper D o Paipas ro B . Ssc so Pcono-
exIL.
Fas opniex r’od puil, oros cavris opaipas
Dari (), uei (or nuuo patees Dc nadjo2).
bajex qd is verrpor x B, Lod pete 
cavTnS Daipa DcEodco is vev po X
a AeYc on io DcodvO MEpOS Y
opocurce rlui neuplee Excov  eoS FH EaaSON
Paipa e5 Wo o Eina pB arcoN raSSDaipaS HVOS.
in exbcbanodc X)a S aGS einedov roinod du
Touas (= ev pd Z∞DaipaI NVXNBS, ct de ri
Xcorco FeeYcOVOV HouirCo) er Wdi F0Daipais X
XN85 60V YdE CnD co de T ncorC Teiycovor
20 YEN. Parepor dn en rd nara rio EnB cE Pe
pdar Zpnpo Daipas, S Baors esiv o oEi 2)4
CETpOr CS NIXNOS, DcrovOr pEpoS sir L
18 maToS T8 vara rlu Y dE coe DeptaV, 8
Bdor5 Estr 0 a ei X) G LETPOV TV Y E NIXNOS, opd05
or  pos suo a B cdderar. ni ad n C7D E De
eta Dcoril) o D y dE me Depa ega) id
edvor prepos rus P aipas pode plto aceis.
majori Iphaera, cujus cencrum a, illumi-
∞Daspes is HEVEpOV ro B, pet er esir nur Pase is
Listbd s 800 a11035 ocpa  ato aoro colt
netur. Dico patcem spala illuminatam
PROPOSITIO IIL.
cum es splendidum, quando conus solem es
lunam comprebendens ad visum nostrum ver-
ticem habeat.
ad visum nOSrI VCLLLCCM HaheaE, SIE C
rcor ncor  oV TE nN1OI  F oeNnilu F xopuelio
Xu cdcgo in Aelerepe 6
aAn OAS XPOS ZC a 4118
nerrpor so B ocnleonS dE NEVEPOV, draVO HE
PapiSarcoV neor C sor r iNioV nai  oExnulu
rjo repoplu Exn pos rn querioa oVc, r y
oraer
et en bexnom eao abuso5 dioel, et 20
In luna minimus circulus determinat opa-
 OnIECOY i 2d 24 coC1,  o eUB
LT (Fig. 5.) noster quidem vitus ad A;
Tolis centrum B: centrum vero su
quando conus tolem ec lunam comprehendens
 uinenlm quguia d ruco esue vidaus, propret cultem voces recenes. EL hC
a Com
id
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ver
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