# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0522 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0522?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 494, page id 867984570:0522 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=522 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000522.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 100 lines, status machine # Lines: 100 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. A NV F. L IS B R X I τ0 3a reosaipcor ousi S recouann pananS 3eto3. Syllema Bia rellaron Ceeo a I. unum. NaBUmM. 80 Bapendo eorse xavis rnm. i itdrane rebne reneiis aequalibus, vixinei octo de vigintino- rem: (27. 28. 29. 30.) Cumque numerum vi vinci norem invenerint non tacientem ad y. trolque extremos (secundum eorum hypochetin) rationem Cuper. parricularem, (27. 38.) illum ne- celtario neplisebant; Tolumque allumebant nu merum riginti octo: cum cum invenerine ta cienrem ad numerum crisinta, rarionem selqui decimam- Quartam; 30, 28:: 15. 14:: T, 2. T acque ad viginti- seprem, rationem le squi-vige timam. Septimam. 28. 27:: 127. T. Conspicitur aurem in hoc harmonici concentus genere, Spis- cum (quod dicitur) Cyltema. Itam iptius dia- Remaca duo, quae grarillimo ipsius Phthongo ad jacent, minora lune uno illo quod adjacet acu- cissimo; ue starim videbimus. Nam rationes duae. nempe sesqui-vigelima. seprima e selqui decima quarta, qua concinent hiujus generis praviltime Lono adjacentia duo dialtemata, aequales Funt ra- rioni Pe(quinona, 23X 18 = 27 = 3. F.It aurem ratio selqui nona, minor quam se lqui-quinta, qua continet accristimo reliquum adjacens diastema. Ouxe igitur gravistimo adjacent bina diactemata, reliquo quod acuristimo adjacet, minora Tunt. Verum cum racio sesquinona, gux cum sel- qui quinca conjuncta complet rationem selqui- certiam, una cst rarionum Cuper parricularium quae prima acutissimaque dialtemata generum harmonici concentus (natura Pua) continent; Propterea et hanc rationem selqui-quincam in duas rationes diridentes, majorem et minorem, ut Tu similiter major minoris. dupla proxime, (nempe in lelgur octaram et selqui decimam. quintam;) 18x (5 =) 8x 15: = 3. tria conticie. bane concinna dractemata generis Syntoni dia FOnI. NAI ROC HArMONICI COnCentUS genUS (u oltemtum ett) canitur in drare rationibus sel. quiHona, selqui octara, a relqui decima- quin. ta; in acutum contra, raltombus sesqui. decima- guinca, sesqui octara, e lelsuinona. Diride ballc aurem rationem illam hoc modo: Sumpris linutter primis numeris eam tacientibus, (nempe Gunque e lex,) eisque triplicatis; habuerunt Gudceim ee octodecim; 5. 6:: 25. 18. cilque incermedios duos cum aequalibus differentiis texdecim e sepremdecim: 15. 16. 17. 28. Cum. locys rcorpoxais, F cincorenrio, nai tor CireOrEV vea. Kat En Et ror psi EinOOVEÉa Copt pn oISVTC EoC95 ap porip 85 285 cxp85, nara ru cabsur vi deor, enjuse or nóyor, et ava yuns Maer 10 ) cinoorourc pever napeidin Daon enidince eveo avror noierra neds pdi T rpianova, Neyev exirio- oapeonardexostor reos de son cinon Ememo- Debdouor. OEcopetr)) nav 501SFC spet 18 yp uospErs, cioneduer nouror susua. Kat yd n duo aors ra reos res Baporrco avrs Doy Yce A)asqua a Ena Tova ZyVE, 78 7505 XW eEvrarco ers ios aurina ejoopda. Eei qd ei ene- Xorres duo neyos, yrot ô re emeno dedquos na O ENVTEOSAPEONCIdENaTOS, Ta reOS T̂ BapVTaC DoC 28 r13TS 2a35 duo 3asua a 10ot eior Tû emervarco Noyce o de énierrat O Noy O E Na COD Est TB EMIN E IB, T8 ENEXOVTOS X Xpo5 Fcd oEvrarco Nonov aur_ 2apa nat 2a pos re Baporurco aeq avrod ounauDorce 345y paeTa T8 ApoS FC dEVrarco NO1T8 X)a5 uaToS, ENa Tova EsI. e E C CODCDHDCOV Y DreITOV NBYOV, EIS lo TEMUOC ICOV NOYCOV Z Ta PCTa NaL iura to. Dasquata 5 puoouers queor quod TOEIEXOVTCOV Dae r8ro chexivres C enirepen Tor 20roV e5 du0 10785, E oVa CC ENarova, cos Eivas oudicos FoV pEt ova 8 ExaTovos dhconaoior eysa rot enoydoor n emnerrenadenaror nai Io t draroVE ZEVSS TCIa EuvENH ota pa BMETNEOV. Kat yd Y 201XroV yE C s i pspers, ios dEdem. Emt udio ∞ Bapo pencodEt rai vaera Exervaror, n EoydoV, Na EMN errena Dexaror névor Emi) x dEV eraricos, na EMMEV. renaIdENaTeV, Naet EnoYdOOV, nat EMErVaTOV. NIETNON de nat Y ToISroV noyor SrW naberreS qd ouoicos dy Y HEDZE Na EZ, Nat TELCONaOaDAVTES aVTSS. ov VEnLHEDTE, I Y dENACKTI MESS TE ay tad er ioap vrepoxats, + denaes C r denaenta AM ENEt ngy o EMEIaTOS NoyOS, o ouvan lo- b ultbleo dvo. 285 7pcoT 8S a8S 785 olu adrt heso Kat Sup.