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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 19, page id 867984570:0047
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=47
# Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000047.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 87 lines, status machine
# Lines: 87 recognised, mean confidence 0.77
# 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.

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Ecor ex aurcur qd nonjoc) ras érapas  uvercor tum principia; (quippe in his faciet curra-
D Parco, Aa x ras EBC i ny D nadETSS EUM LupErHICIETUM CONTACtUS, PFOPteT EBF GCH
gireat. = Kai ceos aur epapusourres du T
ZoPdH NaVSVIOV H pIETANOBSVTES Y Ex avrs +
En pennoS, Z IVa WdCGZLDETEDCV HOLCO LC)a 2S W D
Dexpendiculares.) Du Candem itaque rectam
accommodantes ipli Choraa LC Mam (seu ca-
ainem F. C, GuO EADECICIIS admenturatIOnCS
perenods. Reciror plu23 i groudilu  ons laciamus:) Primo quideu de Lactat corius Lon
peeEs dxoropiar,  ciov 2C 1, n d dti rs ~
qussetas dxorouar, oior Y X, narasoouui lis bisectionem, ut L; ConStitaINS (FTypacO
coa Eva E pana , B Neta,  un dha
paeza D)_ érceg, iynorceq ud exercor Beg
XV, à o DaM aTCS) Éxcvra, Déorcos évever, 10
7y5OS, (C ouOIOTHTOS, =  8 pEOnS S HVOTCOaTS
sia, seu) subductoria, renuistima quide at
que leria; quae de revera lint (Maeadia sive
Ponticuli alii; prioribus aliquanculo altiores,
led similiter ommino se habences, cum politio.
nis ratione, cum aequalitaris ee similicudinis.
DeapponS, S Ex auru ésc 7 8 vavoris c. cum medix (curraminis) linex; Tuper regula
Xoropiaer,  n nan rlu d iurseias dexorouiar.
aVae, car idi ∞  EX D XoedyS pEp O, iooroVoV
EVeIOXNT FE XH I EH ∞ KN, TC Xy dyNo
ipeir P aorys, n, ~ xara Y ousao à W DaIRCKOV
EaV ) per pEa Depcopd  donaca EN eMo
peo , iprot xopdu al, Ecos av ro cenonedor
bisectionem stacuendae; itemque super semissis
bilectionem. Ve nempe, (I chorda parS F R
comperiatur ips K C aequitona; e KL, ips
LC; hinc nobis contet de aeguabili chorda
consticutione: Ciu minus; transterendam ese
probationem ac altam cHordae partem, aut etiam
ad chordam aliam; usque dum haec condirio
2N)accodi 28F5I 5o ev rois opois  avane- servetuT; nempe, ue in similibus, proporciona
3015 3 100penXEoT X, putaV EXXOI TOWN, OpLOTOVOV. E
dra, 3 1OISTS NaTLNHODEVTOS, CC NaraN) CL
Redersos 8 naeroris ro15 CnncrdoS 4 oopDcovicV
Regoss Eopyood, en 8, ED EKaGO Zua, 3
prazaectaDaercorns, ouonoysia aaS
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libus, Pongicudine aguatIBuS, candemque ten
lionem habentibus, sit tonus correlpondens.
Eloc demum compereo, divilaque Regula seu
Canonio secundum Contonantiarum rariones jam
expolicas: Tnrememus, (subductorii, ad lingu
las sectiones, applicatione,) auribus comproba
tas, quam accurariltune, lonorum correlponden.
2P0e45. J Zor3raV pdti 2d napharoidins r cium dilterencias. Sumpra enim diltaneia F. K
OuuDcovic)
Contonantia.
calium
dis Xae aocor.
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nonium,) acque in hane Catisterentes longitu
Situainis bisectione, ul k; demde, ad Cemil
1ogot
Rariones.
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trevrE
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Probatio.
aonrpcoo.
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decst oioo - dzorouiav. c K. n. d OISOV. in. AB. 10d. eOTO. i5. f GIO. na. _S. niav B ABC. n e
V. xei. k R. n. l Ex, HC Codex R. reliqui habent ro. Sed illud praetero, quod ex paulo ante praecuse.
rac: Id nimirum voluisse Prolemaeum sentio, ut Canonium hoc sic intra chordam, in ipsa AB recta; cui C a.
nonio ita tranversim insistane Maxadia, ur rectae a medio curraturae sint ipsis divitionum punctis perpendicula
Nalim C. n AB. iioras. 0S. ac. p CKEV. avrois. AB. auroer. CIO. aurns, (quod PrXeterO) IC. X
375. Cujuo
leto ei.   gua Bilicas (rd cinaegmanra) hine collisirur. q C. -- de. Y 3. 1 . -. (3. ex rois. C. ev 1. led de
 C M auS. ut CL. - - SEpOV.