# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0186 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0186?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 100, page id 779782283:0186 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=186 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000186.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 88 lines, status machine # Lines: 88 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. PAZSTCE IR ACTAFVS L. maior est imperu innaco, qui 2d descensum, non vero ad alcensum concurrit. PROD. CLTF. Si duae chordae diverse longitudinis; aque tensa, ejusdem materiae, crassiudinis; reducantur; es vibren- tur, cirius perficiuneur vibrationes minoris, atque adeo illa cirins quies. eit modo veraque ab eodem tensionis anculo reducatur: v. 8. Sic chorda maior AC, centa in AFC, lic mi- noc illius Cubdupla, Ccilicee AB, centa in ATB; vides cumdem ten- SiOnis angulum C AF, BAC; iam si veraque libero morui dimitratui, equidem ribrationes chorde AB, cirius ene, Cune enim tempOTA vibrationum in hoc calu, re chor- die, per prop. 86. igicur chorda minor cirius quielcet, Ve Patet eriam experiencia; reeum vero lic aequalis in vecaque vibrationum numerus dubicari porest, e90 ali- quando ostendam plures esse ia- ioris quam minoris. COROZL. Elinc colligo Chordarum aeque renlarum, _ egne pullatarium, ma- iorem, diurius Conare. Ceu tinniie; repacet experientia; quia diucius durane ribrationes sensibiles; Prae- cerca colligo, camdem chordam Fortius pullacam, diurius etiam (0. nare; v. 3. chorda AC, tenla in AFC, diucius Conabie, e cinniet, quam cenla in ADC, PFOpTer CaM- dem racionem: Praeterca idem col. ligo de chorda cralsore, itemque de alia minus renla, proptet CaM det AnTIOMEM.. PROD. OETTF Chorda tensa horizonis paralles la tanculum deorsum tendicur es incurnatur: Si enim aliquod pon- dus centro chordae appendatuis non est dubium, quin choidam de Primat; SIc enim AD cenla, hori- F18. 3 Zonei parallela; appendatur pon- dus cenero B, ica ve illud deprimac in F, e tocam chordam in A P D; CIMIE AUECI AED MaIOFA AD FOLL, PF K; NeMDC duX AL, DK, FUNE aequales duabus AB, BD; Cunc enim Facii aequalium circulorum; ( ve- ro pondus lic minus, minus depri- inec punctum B: Porro cum daca qualibet differencia lemidiamerris e secantis, possit dari minor, e minor in insinicum, haec est enim Proprictas anguli contingencie, pondus ipsius chordae poreit esse aequale alreri dato; isicur cumdem eftectum deprectionis, in chorda AD; praectabies igitur chorda cen- la, horizonei parallela, canculum. deOxLUM INCUEIatUE: Quomodo ve- 1d, de in qua proporrione inCur vecur, dicemus paulo post. PROD. CLIV. Ouando chorda AC, adducitur in Pi8. 4 AIC supposira aeguali tensione. verinsque segmenti AI C, e ducta est IV, Parallela BF, punctum L, chor- dae censae non redit in V, chorda non rensa: Probatur, quia cum chorda APC sic aeque centa, in omnibus punctis, si punctum I chordae ceM- La, rediret in V, non centae, leg entum A I rediret in A V; ec CI, in C V; igieur AI, est 2d IC NE AV, ad VC, quod dici non po- test: sc enim CI, perpendicularis P. 8. in A t; et iever d est perpendi- CudiS ie 5.