# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0264 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0264?run=74 # Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2) # Folio 206, page id 779785487:0264 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=264 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000264.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine # Lines: 90 recognised, mean confidence 0.90 # 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. 20C P E ZSTCAE TR ACT. TII. rel alia CurUA ARP, Ita DEBR GIC ad FP, vE 1Y. 2d 16. eadem erie Proorcslo in FAP comparato cum FAHI, quae est in mixta illa pyra- mide, comparara cum eodem pris- mate; accipi aurem pollune innu- mera aliae curux, cum intra, cum exrra parabolam ANC, quarum vna haud dubic quadrat in inorum reductionis chordarum, alia in mo- cum Fumependuli, dc. de quibus omnibus Tuo loco ve re Cc; quid- quid demonstraueris de rna, in Or- dinc ad diverlas Species sub eodem genere motus contentas, de alia demonscratum censerur, nimirum quoad reductionem cinidem chor- da, plus d minus renla, vel eiul- dem Funependuli Tub minore, aut maiore vibratione; et quoad ic. ductionem diverlarum chordarium, de vibrariones funependuli dinerla longitudinis, quod cerce ad sem notram caris ell. PROP. CCV. Eiusdem chorda soni, sunt, 2t vibrationes, in ratione maeni, es 215. 45. parni; Sic chorda AF, cenla in ACE; cum in AOE; vibratio chOE- da ACF, es VE SpaTIUM ACF; chordae vero AOE, re spatium AOF; Tuppono enim chorda AF. non murari centionem, dum est in SIEI reCtO ABE (siC aliaS vocaDaI) Sed Loni lune re Sparia decurla à chorda, in racione magni et Parui; hoc est ve aeris expulsi portiOnes, qua revera sune re sparia; nam (I eantum vleima aeris luperticies à chorda expelleretur, vbi liTum re- ctum ABF, primum attigie; certé live minor. sue maior ribrario eller, aequalis aeris porrio expelle- ReTUE; igItuE que incenus ellet Tonus, quod ablurdum est: Dices a maiore ribratione aera velocius expelli, a minore vero, cardius, Respondeo hoc dicinon posse, cum LOnuS MaGIUS _ PaTUUS Xque CITO audiantur, per p. 83. igitur non expellicur tantum vlrima Cupect- cies aeris; igicur tancumdem quan- cum verberatur, Ced rorus ille ver- becatur, qui vibrationis, Peu po- tius leminibrationis AC F. (p2. TILI OCCMIPAT. PROP. CCVT. Aeris portio tancum expellitur, cum primum ohorda sicum rectum ABE artigit; Equidem pellieur in ipla reductione continenter, ac celeraturque illius motus, lic enim, quae pellune, semper iis adhaerent, quae pellune, praelerrim quam- diu luum mocum accelerant; vbi reromorus chorda rerardari inci- Dit, cum aër, qui priorem impe- eum ferinet, expellitur, analogiam habes in lagitta, in aqua Aagella cd, KC. eium Cemiuibrarionis, e DB, Sic vC IOcitaS aCgHISIEA; QR FOEEC HON DO- rest alsumi spatium Cubduplum, à puncto medio decurtum, nisi ve- Locitas aegnisica sc Cubdupla; Ced profecto hoc negari porestnili pri- inus oeadus velociratis BaruatuI qui ve melius intelligatur, CatuI primum debec in pyramide, a qua illum ad parabolam eradurimus Tract. I. l. 2. AC ergo pyramis ADC, Fig. 47 qua nobis repratentet spatium de- curlum; sicque AC primus reloci- FaIIS LROF. C L V1I. Vidrations nos cnsao visi- dae sune aque diuturna: SIC CHIM Parabera Ba Cepralentans (pa- Fig. 46.