# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0287 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0287?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 229, page id 779785487:0287 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=287 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000287.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 92 lines, status machine # Lines: 92 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. L IB. IL. DE SON15. ducanEuE 9. in 3. 8 4. in 2. produ. e2 TuInE 27. 8. igicur COnS A cA aut COnum B vE FadiX quadcaca 8. ad radicem quadraram 27. Quid clarius. Sexto, si vero dato plano, e eius lono, qualibet Ponorum ratio poltulerur, inveniri ex dehiniri FO. rest aliud planum, aeque cenlum, cuins fonus, cum Lono dato, po- Sulacam Lonorum rationem Faciar: V. 8. Si poltuletur rario Ponorum id est, diapalon; ica re planum illud circulare inveniendum AE, quod aequerentum, Conum duplum Faciat Coni dari, atque edici à pla- n0 daco; lIE AC; dupla AB; pa- rabola ARC, est quadrupla ABL, Cuppono enim camdem tangen. ECHI AR; SIc aurem conus daTUS, qui repeaesenter sparium, Peu pa- eabotam AC R, vel quadraTu AK, inveniri debet conus priori proporrionalis, qui repraelenter pa. rabolam ABL, vel quadracum AM Tubguadruplum prioris; cum au- rem cubi sine ve cylindri, e hive cubi, co modo quo dictum eA; LIF diamerer coni dari AC, InteF AB AC; sint dux medixe provorriona- les; haad dubie s cabus (uD AC, Sc 8. cubus Tub A B eric 1. CubUS Tub inedia maiore exic 4. LuB i- nore vero media erit 2. IgItUI CO- nus sub minore media erie Cub- quadruplus coni, Cub aiOre CK. crema, igieur ( sic planum CuB dia- merro ae quali minori media, aeque- rentum, Facier Conum duplum, igi- tur erir diapalon, quod eraets eiendum: pari modo (UE alia (0- norum catio postulata v. 9: diapen- i8. 59. FC, id est, = CIE AF, ad AC, in rarione =. parabola AC D, crir ad parabolam AFC, POlITA COM UI TANgENEe AFI, ve quade. AF. ad quadi. AF, id ett, vE g. dd 9. SIc AE diameter plani A, cuius cO nuS Sic 27. debet inveniri con nus proportionalis, qui sic, ad 27. VE 4. 2d 9. quod veHaE; INFCE AC, AF, SInE dux medix PFOPOF- tionales, cubus Tub AF, SIC 27. Cub AC 8. dico quod cubus (ub. media minore erit L2. igieur lIE CO- nus proportionalis, cuius diame- Fer baCS EE media minOt. dico. quod erie ad conum plani A, ve 1. 2. 2d 27. led vE 12. 2d 27. ica 4. 2et 9. Sed soni lune in lubduplica. Ea CONOEUI; igituE VE 3. 2d 2. in aliis contonanciis, eodem modo. Procede Seprimo, ex his Facile crmpano- ram Les cum datis contonantiis. componi porest; est enim cympani menibeana planum, quod ribra- tur, vbi pullacur, co prortus mo- do, quo dixiimus; pro quo TameM obterua errapani alueum conside. randum esse; vel enim immobilis. supponitur, quod necessario pEx- Fata proporrionum rario deliderats aUE cerre si movetur, contrahieur canculum balis aluei, ac proinde, praetaca provortio canculum muca cur, Ccd parum omnino pro nihilo. phylice computatur; porro illa contractio balis, seu circuli, qui terminar alucum ita componenda: est, cum ipla censione membrana, icemque longicudo aluei, cum di2- MEEEO ICIMBEaNA ve vibrationes. rnius non impediane vibrationes: alterins. quod cerre vix aliquis: consegui porest. Cum Ac diuer (2 verinsque mareria: Minc lonus. eympani. non rolonac, id est, diis non durat, quia scilicet. alvei vin braciones impediune ribraciones. NICF