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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 129, page id 867984570:0157
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=157
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 107 lines, status machine
# Lines: 107 recognised, mean confidence 0.78
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
# Licence: CC BY 4.0, Leibniz Legible. Machine output: do not ingest it as verified text; keep this provenance with the text.
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# After the first blank line: the recognised lines in reading order, one per line.

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TI A R MIONTCORDM LIB.MI
Ycoltas in a Yd i BE8 i verrsors rois y 2 iy lOS CrISANIUE ACD, et BF F: Centrisque C
eDc Tunuaa nonNcoV, nar rS xopras
 plasat E, DEperaS, 2a nd 
ad
ec E delcribantur circulorunt porcones, iccun
dum curras magadiorum superticies, GD e LIL
La u ilaset L Gttat AD. Ducaturque
pet  ova eivas rus (8 D a  onXco reEPaopdion
adicor cvddcoV NaTO Ta
c cor ai à
a A BaorS  navore. BatIS canonis. BB
B_ C onpcia 8Co
i B3 eGebandnour  ci ena
Dai Y XoedcoV, = XaTa La d C onucra,  
dro an pa ouvisaVa) AnNor on nai n ad
reodeors o navoriS, 3015 m X n X Meo
aabamondin, dera x n K ponnos n d p
GV F a NyDovcor Ea Dcer i Dro LaAVATCOV, not
0d ∞ Hd. KaI ESW 100YcoVIOV Y A X re 17 cevor
rC) EdN Om Cn Y H C DgMOS Est TH EN 3
nYn, Tn Ed. A1a F8r0 de, _, c n Ed neos 
Y n P 3rc06 n d N reoS  H 1scor pdi aeq
Socov  Yn
30185COV
C Ed, TBrSWisCoV NuXNcoV Tuqua
Cnd cEDEocicor ion Esc
edi VX Fn nV, n dEXN oan,  n n d. 
E pndapicos D)_ Déec T Cnkospoidilio 
3 navovrs Xasao  aanDivnS. ov de BE
pnHioLta ∞ 501320V M Ese  d exdnvera
Tunpa   atatoHB, 18 NaTO DuoV ouI
apdis. Rat ei pd evedexero rlus roraurlos  N
nayteo, Di evrcv a concos 2 Pdo7dv, d.
avror nrmle nozov. oep av ocveaver à nevra
ra pa ze 2)∞. 705 1005 Erotet X pBB 1d nECger
2454015. sder ou dienenet et Ln Zenod sois
avrois péecon ausouducor n polspdct  Koycor 
ExasnS F X0pd cov L. H et OB aVAYKaIV CK HaVTIS
ano noier pnn 745 F pazadcor 2Yco-
(Deripherias in C _t HI contingens) recta HIO;
acque jungantur CFC e HIH; lccetur aurem
EHI, a (producta) CD, in R; atque ab AF,
(Timilicer producta,) in L. Rectis jam quae
per mediam masadiorum lacitudinem designan-
tuT, in DF puncta cadencibus; quibus craji
ciebantur A D ee BF rectae; in eisdem DF
Dunctis, chordarum contactus, ipsaque apo
Dlalmata, constirmuntur. Patet item, quod re
Sula applicacio ad R L terminos tacta, longi-
cudinem indicabie RL; qua autem elt inter
contactus veros, et vera apoplalmata, longitu
dinem exhribet CII. Eleque criansulum COK
priangulo F. IIL, aequiangulum; (quia parai
lela est cum CK ipsi EL, cum CO ip(I FII. )
EE DrOpterCa, uE FHI ad CG, SIC FIL. ad GR.
Cum isitur aequales sInE CC d FHL, (ut quae
taciant, aequalium circulorum, portiones peri
Pheriarum HIF _ GD:) aequalis item exie
rum FIL. ipE GTK, cum TOTa KL. tori GFI.
Adeoque qua per regulam sumpra cst distan-
tia, neutiquam a vera dittert. Sin circuli tue
rine inaquales; hoc non serrabitur: Sed alia
per sectionem indicabitur portio, ab ea quae
nacura exiltis. Ft quidem s ita contingeret,
ut haec variacio, in omnibus omnino lonis.
Tub eadem ratione caderet, (quod Foret li
omnia magadia aequales facerent ab extremis
distancias:) nullus forer in utu laptus; (cum
eildem partibus, vel auxerencur, rel minue
rentur, rationes, in chordarum qualibet:
Cum vero omnino Et necesse, ut inaquales
tiane, maxadiorum subductibus, lonsitudines:
(unde segnatur, etiam exceltus, in distaneiis
majoribus, minoribus constare differentiis;
us ois anons Dei, x i ras LCOXaS, M  T qcil orcor diroxcr, co ena dloo isaods 310 Popais
in
E aeprecuor eodeia, nara 1o. n in 8, i d n
ese coxbcour idi ajn Y C d. rurédc
nd, o di ~ Y d exSAnDcionS, NaTa X 
od DE ouoicos exbandcions, naTa 
Feor  dn 2)a pess S CNaTSS Fua edhcor onpete
e VF. decA nai. a GI. ro. B F. nai  -. c G1O. A. d CI. dect 3. eROV. du, reliqui 3. f V
t
A
aeractcor
AB. Ed nin
ra dCC oruciae CC sui droit a npar.
n AB. naposarodon. F. nagNa
ouei y GL. pe zactor. Z CI. incirtoor orviscias
deest n. BCI. n. i AB. exandvav. CKCV. exniguour. CO. cEcangnoar, quod rerineo.
V. cesdcors (quod retineo,) reliqui ceodeors. m CI.
0VF. y7. P C, 8r0. 9C. da. r V. v. sOIO. Ed CX
In alteris iam in alteris inu. urrum que recimendum cenleo, ddm odn ru. n Cl. deest n. X V