# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/867984570:0080 # Permalink to this reading: https://leibnizlegible.com/page/867984570:0080?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 52, page id 867984570:0080 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=867984570&page=80 # Source image: https://digitale-sammlungen.gwlb.de/content/867984570/jpgs/default/00000080.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 79 lines, status machine # Lines: 79 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. # 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. LL AWDII PTOLE M L I e BD rectarum potirionibus: Suppositoque cildem Canonio in sieu rectae FGHIA: nu merisque apce accommodatis; rectae nimirum AC, T2;. HR, 9; GM, 8; utrique BF 8 FD, 6; iemque L. G, 4; e F. FI, 3: Conti cientur Conlonantix omnes, et Tonus. Nem- Cid D. 21. Bd adicor vnax Derros avrois NarvS Nar 47 ∞ C n6 a Deon EDapuo dercor re a pcov n edi a Y 28 Z1B, r7 ) d x 28FS, in de yu Z8F n, ExaTSpa) FBC d r325, nat nx Fn d X 1 78Y d, 2) Ed +8Y y. 2 De, Diarellaron, (ur quae est in rarione se squi sencics mous rs ooupcovics, iy t siver 4 terria,) ab AC _ HIR; item a GM e FD: acque ab L. G e F. HI: Dia pente vero, (ut- Dorc in latione selquialtera,) ab A C _ GM; item, ab HI e HD; acque a BF e L. G. Dia palon vero, (in ratione dupla,) ab AC e PD; item a GMI e P. G; atque a BL 3a reaecur n nara Y Seireiror Négor ouvIa edns, 2o ZCV a y ng D X, ng) 0 ZceV E pe nai Cd, nai d TEV y Na) ED. ~ dc 2)9 NErrE n, ev ZC nutoNico NeyCo, 2T FcoV à Y C ne 8 ad 3,) d CM et HF: Dia palon et d rcev BG naj dC TS dE X9. IScoV Nai 214 HOS CpcOV, eo rC TCV Y n cCS Ta Y Noyco, Lod FV n p nai d E 8) 2)_ accor nai A piu 0dt dHnatC d, 3 FBCCCNn e TIF: Dia Pason l ua tellaron, (in- ratio. D) 9 Hacor ngy xarat Y dhconaorer Negov, 1 2 b 7E dia pente, (in ratione cripla,) ab AC _ L. G; itemque 2b HII _ HIF; Dil dia palon vero (in ratione quadrupla,) ab A C e F. TI: T0. nus denique, (in ratione selquioctara,) ab 3a nEVT Z i nara Y NSICN CoOV Nogiv, 0 a Y = NaI Xn. nat Du nat dE 8 de dis 34 Haocor, nat nara Y Ter C TON doroV Negov, 200 7 HK et GM. POrrO; Sccundum hoc iptum a Y var ED nat En S S, nara t enoydoer ne Iultrumenium, li exponamus uccunque Paralle. W0on 2d 7 C BX xat n pu. Raeg dy r82 X 00 IOGrAIIUI, UE ABCD; ( sive quadratum sit, raevor, ear end coeda ∞D XM nNOgEapCOV O TONCS sive aliud uicunque paralleloerammum;) acque io5 x à BY d. nas voyscopd ras pd à β nat y d intelligamus AB e CD, ad Chordarum APO. Dlalmara seu Finitores (quibus chordarum lon situdines utrinque terminantur:) et AC BD ad extremos lonos iptius Dia paton: Deinde. (procracta, ipsi CD, aequali DF,) secemuS nara sa dero lanuara rur xoed cor 5 de a Y nat B d varo. Csv arps5 Pdog(e5 8 3Ia nascor Endra, coChDEKBaNerS Tn Y d iol d + d E, na tarepecopdo, arri rcev navoricor, 2 Y d conobe ay (pro canoniis) CD lacus, pro rationibus cui- 2o15 oiretois FCv aicov Nego1S, D 8 E x is que generum propriis; polico, vertus F, ex neegs drondéuor nat X)à Fur quouicor ex iremo acuciori; perque hujus sectiones sic La. Pavris roucor l reircopdu Tas Xopd a5 My85 ctasus tendamus chordas ipsi A C. parallelas, aL. re rH a Y, nat ioDToSS a MNaS (C, FSF8 3Vo que inter se aequitonas: acque, hoc demum tacto, commune tucurum chordis subductorium, eildem Tubjiciamus, in sicu rectae quae puncta edis, nomor Eoopdpor aycorca rcov Xoed cov 140obancopd = avS, vaTa T F d A F. conjungit; ut A F P: ConticiemuS itC Sons Ta a E oquéra Déov, cis à GE. Moin- rum chordarum longicudines, in eisdem ratio. oopd mnW Fa punten Fer Xopdcr, ev rois au nibus; quae itaque recipient rationum examen is, Ngis 1d5 DdeXc FCivEneodcon 3015 gR rlud 8. ABCV. ruo adit. r OIVO. decA p. s ABVO. decs ny. + V. ap. u G1O. dc. X CY = K. Vn oed5 ro Yn. ABO: coeos ro y. V. coeis r v. Z BO. decA C. a A. deest, n D C BE ~ db 8ic ase habat, lC n TerE_ duore dozor od Z _ Y. B BCKV. deest saltem C OX n 85. 66 IO. d On. d GT. rn. e AB. aupor5. C. oinioss, d similicer aliquoties. fCR VO. Wvond --- 8 V. avrois. B AB. dirorcir i CV io Eam.. L KO. avris. VCKVO. rtuo revil a grioav. m OI. maira. ute roi5 bi 1 r cone potcoe e