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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 572, page id 867984570:0600
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AR IS T A R CHDS S A M FBS.
quam 216000 ad 6850. M Prolemas  3 n oV BN, 5 5 EoC85 5 cdVD. Itos E 
diametrum ana 0. 17. 33.  semidhametrum
solis 5. 20. Preo quarum partium diameter
lunae est unius, carum hiameter quidem ter-
ra est 33: solis autem 183. Terra ieitur dia-
meter cripla est diametri lunae, e achuc dua
bus quiniis major. Solis ciameter diametr.
quidem lunae duodevieintupla est, e adhuc ma
jor quatuor quintis: diameter autem terrae qu’in
cupla, e adhuc dimidio major. FN quibus e
solidorum corporum proportiones manifestae sunt.
uoniam enim cubus unius est T: cubus autent
3 est carundem 30 = provime;  cubus 18
similicer 604+ = provime: quarum partium l
nae solida maenitudo est unius, earum maeni
rudo terrae erit 39 =;  solis 6644 2. Quare
maenu sons cemus es septants proncine
detaahitudinem continet. Et hac bacte-
nus dicta sint, comparationis causa dictarum
magnicudinum e distantur au.
nenc BbNico ou ardczer on ois est
Eios n ex 3 verrex D gus, Wosrcor X pdis d 
Aons eo F ove vgiais puegusor diresqua = Ed 1. 
de 3 iNis aL n dE ex S verreS D OCMO
O1 Ny n i ex 8 nerress Ni E N cos
i ois esir eros i ZgerOS D oalions, oEcOr
adi r ins oeg daucr  y C
in β5.
iais in (C d. n n edi ~ jns à eq XguETO
D ocleorannS TeroNaor esir  rois B. peie cor-
n de _ inis, r di ocalions onroncdena onaora
3 est 2015 d uci cor n dE D jus HEraDNao
CErt reo iutor pcie cor a cor nei oi T sepeciv sCo
parcor Nogot dnNOL. Eret qd o X a nbos 8 aurs
E5 a o de doro r Y i B 2 aurcov égsis X
S. o de diro Y In n d. ouoicos 8 5 X p d L
Egliso cos ouvaza on dis esir eios x d’ocxlione
SEpEOV pEgC )o5, 2otrcor est x pi D jus Xd 8.
de r3 iniX  F X u d L. exarorranarEdopnnor
aToneoV pciCor aea eglisu ∞ FS in18 rS D gus
Kai raira idu Sri 105BroV CipnodCo, ovyN eOECS
Erexer F cien dicor pegeDcor nas aro stot.
quinto libro marnae constructionis d demonstra-
vic, quarum partium semidiameter terrae est
unius, earum lunae maximam distantiam in con
junctionibus esse 64. 20. 8 Jons (210. semi
Duas Pharas, aequales quidem idem cy-
linarus comprehendit, inaequales vero idem
conus, verticem habens ad minorem sphae
ram: e3 per centrum ipsarum ducta recta
linea perpendicularis est ad utrumque cireu-
lorum, in quibus cylindri, vel coni superficies
Bhaeras contineit.
CTne aequales Sphaera, (FiG. T.) quarum cen-
 cra A B: junctaque AB producatuE: _ Per
ipsam AB producacur planum, quod faciet le
etiones in spharis maximes circulos. (Lx 1
Spharic. Zheodosii.) Leaque Faciat cireulos
CDE FOIH: aique d punctis A B ipsi AB
lineae ad rectos angulos aUCanCUE CAN. FBHI:
e CF jungatur. Ouoniam isItuIE CA FB et
aequales sine, e parallela, CrUNE _ CF AB
aequales, e parallela: exiEgHe CF AB paraI.
reloorammum; de anguli qui ad C P recti
Preo recta linea CF circulos CDK, FCTH con-
Anset, (ex 26. C3.) Si autem AB manente,
Paralleloorammum AF, _ HCD GFT. seni-
cireuli CoNVertanEUT, quou (que rursus restituan.
cur in cundem locum 3 quo InOVETI CAEPETHINE;
semicireuli quidem HECD, OFL. tereneur in
sphaeris; parallelosrammum veco At estindrum
Abo opaipas ioas vr o avros winot (
ToEiauBaret ariosS SE S auroS ncoroS Y NopO
DW éXoV OCOS Tn Enaar oBaiva. in n X8
 verrecr aus àouin cu deia op d 621 coe5
EHËTECSVZ KoXNCor, NaB Con epa nC) n S noxir-
Sps n i 3 ncors 67D a Veta E op ejecor.
Ercoour tous s Paipas, cor vevre a E5 co ra  B
Lonucra C rxdeion n aβ enbebnncdc
in exbeb Ac 3)a D aβ Sinedor nornod dE r-
MaS eo F5D aipcIS VEZISBS KIHNSS. HoteirC E
Cov Yde G1d nonNSS. CC Zdcvar dd 7 a B
rn aB e ipdas ai Yac (Bd. n emcuxco
n 7C. CC erret ait Y a GB ious re nei  dgitan os
cior,  ai YC a B aeg iocij r2 (C co g.M ynoi eto
Haean do E pO es eg est X YE a B, noi at
3805 701S Y Q ycorta) ee )a ÉoOV SGEn y
7 dEC1B nonncor eante). Far dn pasons 
a B ∞ a a D9. MnNOZECpO XaI  nY d.
nEN ipINONNa ErVExDerra aiS x auro n
AW DoNOaS de pa Dépecd r pd  Y d
nE N iIXNa evexdiverus Xara rcor oDaipcor
x de a a gy nogeauer quviot nuaudpor,
LLBFOSIIIO
Z RelicO, ex PcolemXO, 2d i pro Z85, _ ars PrO auI. FF sic habet Commandinus. l Tem Oie n pro
iC AY. eC C X PrO O E 1. n PrO Ze e ve restituo BC, hoC CM 3. Sed ordinalem seu denominatorem s
qui erac ad cardinlis seu numeratoris fronrem suspentus, c8o (quo eyporhetis Faream) in lineam hic reduxi
led virgula notatum qua ordinalem insinvet. Ne autem erroris metus sic, sacis caretur in versione. Pu, B
ialis, DrO
lere niurscn ex paricer in sequentibus. a Com. PX 34. Primi Fuclidis. Parallelozrammorum enim
locorum aneuli qui ex opposico. aequales sunt: ex sunt recti quo uu a  ul et 20  Hab nu bam relbt e ant