# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0198 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0198?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 112, page id 779782283:0198 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=198 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000198.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine # Lines: 91 recognised, mean confidence 0.92 # 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. PE Z SIOA YR ACY A Y V5 T. est problema Deliacum, quod ha- alticudine ipsiradio aequali, per denus geomerrics ColuTu nON est. Tercio, hinc si duo cympana inaequalia, Ced aque renta, IUIXT2 De dictam proxorrionem, quae mechanice proxime inveniri pon cest, pulleneur, facient diapalon; ve patet ex dictis: Led de L01o d̀ trmpano cdico, luo loco agemuS, nunc caneum ea dilcurimus, que 2d centionem percinent: pari modo si ica diuidatur rocus cplindeus, ve sit ad alium propocrionalem, ve 9. 2d4. e pulletur verumque cym- panum, erie diavence; nam Coni LWIWE DE TempOTA, hEC VELadICeS Spaciorum. Ceu cylindiorum; led horum radices Tunc 3. & 2. vides diapence: s vero ita dinidacur, ve cocus sic ad alium proporcionalem, Vc 16. 2d 9. exir diacellaron nempe horum radices lunc 4. 3. Ilinc vi- des li Serueneur hx PropOrtiones, insticui polse mulican in cympanis bene Conancibus: obseruabis ca- men hic cancum habeci rationem Conorum, qui a membrana pullata; eduntur, nam in cympano est alius Conus, ex vibracionibus cremulis cxlindri lignei caui, qui a mem. Prop. 108. ac proinde velocitas na- brana pullata adducieur, hinc (i sIF xreus praedictus cylindeus, clarius Tonabie, led de lonis alias. Ouarto, porest etiam decermi- nari velocicas acquilira per redu- ctionem membrana, nempe si Ma- beacur relociras acquisica ab Cx- eremo puncto radii, Guatm LCPE- sencat rectangulum criangulum. de quo prop. 88. dcc. d li habea- rur relocicas acquisita a tOTO ta- dio, quam reprx (enEAE CUNCUS. Tub rectansulo aequali praedicto eriansulo, canquam balt, et tub DeAEUE, quaM aEGLITIE exETOMICaS cujustibet radii, id est quodlibee punctum peripheriae, qua Cuppo- vacur esse criangulum rectangulum sub radio et excestu, haud cubic velocitas acquilita a tora periphe- ria erie Colidum, de quo lupra PrOP. 166. excanacum, velocicas rero aequisita a quolibet alio cir- culo concenerico, erie ve lolidum simile; exune aurem haec Colida in criplicara radiorum; si aurem Coli- dum repra lentans relocitarem ac- quilitam a maximi circuli periphe- ria dueatur in -. radii, habebitur Tolidum repea sentans velocientem acquisitam a coro plano ciscularie re aurem habeacur primum illud Colidum, ducatur maxima periphe- ria in excellum ex productum du- catur in 3. radii; quia veto cOr Cune Colida proportionalia quor Cunc circuti concencrici, id est quor Cune puncta in radio, ee haec de- crelcune in rarione criplicara 12- diorum, si primum illud Cotidum quod repraelentar velociratem ac- quisicam a maxima peripheria du catur in = radii, produccum se- Pralentat velocirarem acquisicam a toro plano; hinc Cciri porest, in qua proporrione sic maior veloci tas acquilita à plano, relocitate acquisica a radio vel diaMecio, ac proinde in qua proportione Cine vires atque ictus, irem (pacia, eC. Ouinso, habenda est criam r2- tio crassicudinis membranae, nam membrana duplo crallior, perinde le habet in ordine ad censionis ef. fectus, acque si dua ettene, sinul iunctae: praterea membranx l0co porest