# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0517 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0517?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 489, page id 867984570:0517 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=517 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000517.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 113 lines, status machine # Lines: 113 recognised, mean confidence 0.81 # 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. TI A R NIO NIC C SE CFFO SF P F TM A. F NL H A A E B A O M O N. Eeei rS. Si io airiar dai tcor Recor YE pE. 185, et pEHSOb TCV OWpBOXHVECOV TCL YcOV D ∞ TEOS apCVSUEHUa b B CM or ~)aSqua Set; S paNaNS C 501S 18 ocurors diae rors, 3X oi pezusot et peci eves. X8V oDEt NOV5O5, 789 EMa X158 Y BapoV, 58d pet Zoros Y peroor i idio cor aucov 23b 8 2coG Exd. nadaence avroder Pavepor 2015 d ONON8 advos 27C). de =S panonS evrors, na) 28 occ rors HaroS, 3X Y2WS àma 10 idiv pcie er Dasqua draro enex onov, 2 de perisor 2 NEooV Fndra dE CEI TCV TOISTCOV OVSMUATCON Einora dhesen detr. Neroud rot veus d7, et 3 à 2) 8 Dopor est 2)a X aiveroi yrov ~ c D. M ajuS, 58 oGeos C T8BapEDS, Si pdi TS MANaNB CVToIS, Y uercor 3)aisp et todo tsa scops. edvor, 2 peoo Exexdv Fon ov τ8 X)_ sceS CpcoV ovSy NaroS 2o de pEt ZoV, 2o ev exoydoco, eEura roV co5 ev 7o15 Eurd eger dEdC) Ent de 78 OUVTI 2142013, 20 pestt Minr ∞)asua, 20 c ErOYdocO NSB, OplOICOS F pBEOOV EHEXA +onOV 16 ∞ a a p DOSMLaTOS 20 dE pEC 20 coum n opdio asa na donS Neger, einos l nav F8291S, 20 pdi pego aisqua r osvrar enext roxor, 20 de peie or: MEOOV E BB PBOHB TEn OpZVINS ac oi poet ( ores negot 6V i731d 2S T H oGVF epSS ro- 8G aEt 28 γ)∞ TEOSapCOV oVSquaTOS ExexcW oDei NSOI. AM EndSHEE EFPOS NogoS DVOIKCSTaTOS E i avarnaaS aVC YNO (Ct, CV asp DOTEpO1S T015 Ob quam causam, in aliis metodiae seneribus. Maximae trium rationum systema Dia res saron complentium, acutiora occupant diaste- mata: sed in Molli entono e Syntono. dia tono, non maxima, sed majores. TVM de Syctemacis Pgenis ee Apyenis (Spissis e Non spissis) verba tacturi su muS; Oportere prius pucarimus, (uc Tumus in ancecedentibus polticiti, ubi verba secimus de generum concentus harmonici generatione, Ob quam causam, cum eria sine diverla dialte. mata concinna ex quibus harmonici Concentus genera constituuntur, Maximum, Majus, de MI nimum; Maximumque semper debeat acurisi mum sistematis Dia tellaron locum occupare: Minimumque locum gravistimum; e Majus locum medium: acque in aliis quidem gene ribus res ita se habet, (ut ibidem tic conside acibus manifectum;) sed in Molli entono, e Syncono diacono, non irem; sed dialtema Majus locum occupar acuristimum; Maximum. que, medium: Posteaque de calibus systema- eis, quae consentanca lunc, dilserere. Dicimus isitur; quamvis res omnino inditterens sic, proprer insensibilicarem diversitatis, acuci d gravis; in Mollientono, maximum diastema (quod in ratione selqui seprima conspicitur) medium locum occupare Cyltemaris Dia cellaron: majus veror(in ratione lelqui octara) acuristi mum; (ue in ance dictis ostentum est:) e in Syncono diarono, maximum item dialtema (quod in racione sesqui octara conspicitur) Pariter occupare locum medium Syltemaris Dia- cellaron; majusque (in sesqui nona) locum acutistimum: sed tamen, secundum univerla lem rationem, par eslet ut (in his icem) ma- rimum diastema locum occuparet acuristimum; majusque, medium: (NTam In OmNI CUM Mu- Pieo eum organico genere, majores rationes locos praecedentes acucioresque (ystematis Dia- teltaron emper occupare debent.) Sed quo niam alia ratio maxime naturalis e necella ria, cosit, in ucrisque dictis generibus, diacte ma majus occupare locum acytistimum Sylte. matis dia celsaron, maximumque medium; id circo haec ratio merico nestisitur, atque illa recipitur. Sed et, cum ea racio sic plurimis (quancum Scimus) ignoca prortus, (ut qua cum Graristima rerera speculatione conjuncta lit; visum est nobis incumbens, etiam de hac re breria quaedam prius expedire. Monas (uni Tas) in se habens poteltate, Cre seminaliter. harmonicas rationes ommino omnes; volens que eas in actum producere, in mulcitudinem necellario cranliic; ad Decadem ulque, tanquam ejus ulcimum cerminum, per compolicionem avae n e. 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