# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/867984570:0333
# Permalink to this reading: https://leibnizlegible.com/page/867984570:0333?run=74
# 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 305, page id 867984570:0333
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=333
# Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000333.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 111 lines, status machine
# Lines: 111 recognised, mean confidence 0.79
# 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.
# Wording rule: say "the machine reads it as …", never "Leibniz wrote".
# After the first blank line: the recognised lines in reading order, one per line.

Ci OM MI F N I A R IV 5.
eb irepoxais. HisEISON aivrn Nérevres, to
ECinE 1 otors neoS 2o dia resapcov
CL ijpet rovratOV,  S RCipC MaMoy y redo
1C 80t He 1odS Evaerrias F NECOTCIS H nveNC
a VaS,) eidem fidunt. (Alterentesqe KCI
et duum Diconi ad Dia Teltaron, Llei
ec nium este, non Limma. ) Summmo Iu
e dicia subnectunt, primis potisss ac plu
cc ne contraria, (de rationibus, ingcac, leL
es qui altera et LetGuL. TexLa.)
aL rEcIS F NoYcer, nutoNIS Nerco n, r8 M
 reir8.
IpoS dn 2oi5 cien os, o HroN Ea D 2g
Eocu B8Nodvos CC x counequa r dod ciseco
rlov condes ar nai 8 gEapCLCICIS avaYna
avazondver BrnoiC) X pero5 S nciupa
15, reos x iurrorior, 24D0e45 37Co5
Fnddn g0 8oci5 pv dpe105, e15 1085d0d
e paIDENaTS Est dESTCS EYSa, o0Vn
at reoS o p Y.
525 adi 20 0 1C 1505 + 15 8tc3 88Vn 
.. - 505 6 p Y 1d5) o deNaOKTI NEOS 18
8rc0505V E CB.. . . . 4505 Y 5  Y Kat O pET
E0 â e F dvo Norcor esiv, d F ∞Vn nEOS 1d 6 p Y.
CpIorEO rb TE, Z5 p Y, pei E era pd orra pe-
pos n emtanaideNaTV. Énaasor; i’ennas-
dexaTOV, oegD Ei5 5015 G u Y, EXeV Noyov
 ipurrovis ouvez VS, Y TCOV SVH NEOS 7
15  Y EdcitC) C Y 3 NetuuarS Negor
112 5V5  po5  5 p Y (C 8 Net aTS
apa ro iperrorior, pE E ev est S Neyco TCor
5VZ. XPOS ra 6V5 et eio BENaTOGO
 10507d001 Tlu de BpaXCtav 3rC X)4P0
Car, Dnoi, duvaror Eiraj neat F arais.
 3dC auroi DHOCEV EITa Z8701S Ca, NE-
L ycoV Et Toire evdEXCy 20 exn r ai
Dyo WDaSoui noni pamor crdexi-
pdvor lio 2a Tonccorcor X LECoV +o popIOV
a 28r ouvaXder, avenainror aurn QuEa
a para rs egp dEi Teis d
c 118, d 4685 DEd15 OnotE in d
Cc Era NoOC dlTOVOV aNCNCOS, 7oZ O
Ed   a X eOS 
d
cesticate lineari deduetam; compulat masisu.
dinem ditterentix Limmatis ab Llemitonio, hoc
l tes, sant fesgat ait satum s esqa-
Ec FTemiconium in ratione quasi Barum iu-
e termedia; nimirum, quae major sit quant
cc sesqui accima sexima, sed minoi quam
e sesqui decima sevca. Lst aurem sie proxi
Nam ut 27 act 26, sic 258, 8 ad 243. VC
aucem 28 ad 17, sic 257,3 ad 243. Incerme.
dia ixicur incer has duas raciones clt racIO 258
2d 243.
cc Onamoorem, cum 15 fit nuisel  243 plus.
e quam pars decima septia, sed mistas
ae quam pars decima lexta; hic additus
cc numero 242, rationem exhibet FTemito
cc nii proxime, 258 adt 243. Oltendic au-
ae cem, rationem Limmalis, esse, 256 ad
et 243. Adeoque Tlemitonium, Limmate
a majus esse, in ratione 230 it 236, 1s
cc est, in ratione selqui ensa vise sima-
C OCFAVA DFOXIMIE. Lui c M
ce sic progeditur dicens; fam vero, si fiert
c talem parriculam reperitam,) id ipsi es
ac se insensibile, secundum piaedictam en
etrum demonstrationem: Ter quidem sum
sesqui octava
ae Ditomum urnopositum, est incon
Praeter ea quae dicta tunt, oltendere Volelts
rum omnino invalidam elle, e nON CX HC-
Pcolemaus, conclutionem demonstrationis co-
modo:
ee Cum enim nulla super parricularis ratio, in
ec duas aequales divii possit, (eo quoc, Ln
c dialtemae luper Paruat  LCI.
EdaC MCdIMIS PTOpOTCIONaLIS NUIeTUS, C
E supra oltendimus;) Duae vero rations
a provime aequales, sesqui oct adant facien-
decima seprima. Ivee a est
a me, 258 ad 243
a(inguie) differentiam, posse s aurious
ce judicare, ne ipsi quidem aixerint. LU
possit ut sensus, ulto ents desest
a ma octava audiendo erret; multo magis
ac contieerit, (propter plurium sumptionun
e Bibere Diconum  sensibus sit in
cehibuerint, quam Ditonum. C. ait Lonus
cc pto Mraressaroi. bis ditono; alque
a ad contrarias partes; Cum ne semet ex-
ce promptu. Promplas enim Tonum ex-
ee cinnum; in ratione 81 ad 64
X0785 ocipetri  O 3
paros pindera pusodt ava nogur eponinter a
edpor, cos alcorp Vcou 100162
Ergisa duo negnotsor Enoydo 
a exnaideNaroS, nai o SemanandENOTOS
EGC) aC_ Nar ro pera ZV NCO5 F8T COV N-
LcoVEIPEr 2d ipet FovIOV F3 est Y pet C ova EV
S BrIEaNaIdENAES, ENa OSOVa  S CMEK
c 5 2) a TOSapCV XnDBErZOS dis de  d
a e E aidocor MaMO qu’au noinodar o
vor, n diroror Endnee o ui   ep
Xis  est, i et enordoco neyco id de
aoreideror d’rvor, enpenés ios ar er novu
Oua
iEancudna e aion tot
S Suppleo aer opr. 6 In Codd. Craecis, pro tractionibus habencur lucunae; quas in vertione luppileo. B P1