# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0490 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0490?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 432, page id 779785487:0490 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=490 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000490.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 85 lines, status machine # Lines: 85 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. 432 P HY ZS EC A TR ACT. IV. EUF, Cota Sic agit a puncto B; SI ve- LO, MV, ac. idem de lingulis li- so allumatur per omnes lineas, qua II BUnCEO L decUNTAMEME, FOTa agIE a puncto L; idem dico de aliis lu- verticici punctis; cum enim vna tancum Ephaerx lucida pars à pun- eto B non agac; cur enim rna po- eius guatm alia, ab Co CetrC tOTa caula agie, sed non toraliter; hoc elt, ita ve ab aliis quoque non agaC; quod reuera actioni communi LO. lemne est, qua Scilicet omnes par- res caula, in lingula lubiecti ap- plicati puncta, led non Cola; et Tingulae, in omnia, sed non Cola AGIIHC. PROP. CIZ. Tsinc quodlibet punctum sphaerae lucidae, in orbem, quognouersum acit: v. 8. Punctum B primo per omnes lineas, supra tangentem FI; deinde per alias, infra tangentem, (cilicet exera corpus lucidae sphaerae: in hoc nulla est penitus difficulEas; nempe cum aliis simul punctis ad omnes lineas concurrir, actio enim communis est. PROD. CX. Non modo concurrit lucida sphae- ra ad omnes lineas, quae ex puncto B quognoversum ducuntur; per eas, quae a singulis punctis einsdem luci- da sphaerae, per idem punctum B du- cuntur, V. G. per CB, FB, GB, esc. verum etiam per infinitas alias: V. 8. in lineam BP, per C H, OH, RC. II BI, PCF CL, FL; quia in pun- Ctum Ntam ducuntur recta CFI, GH. quam recta FNI, idem dico de aliis lineis, quae possune duci a Pin- neis, qua quoqnorersi ducun- cui a puncto B, iremque a punctis E, M, aeque aliis omnibus, quae Cune in luperticie (phaera. PROP. CZI. Teinc in sineula sphaerae actinitatis puncta, omnia lucidae sphaera puncta acune; Rario est, quia a lingulis punctis lucidae (phaerae, ad quod. libet punctum spharae actinitatis, linea rectae duei pollune, igieur singula, e omniaillius, agune in sinoula e omnia huius; quod ve melius incelligatur, sic Sphaera acti- vicaris centro A; sic punctum O in Cphaera actinicaris, ad quod a lingulis punctis sphaerae lucida, duCantUE reCtX V. 8. CO, TO, FO dec. cum complexum huiusmodi lincarum voluatur CiICA CeNErUI A; cerre punctum O, vel apex, in quo praetata omnes linex con- CurrunE deleribet circulum, cuins OV clt arcus, acque adeo omnibus e lingulis huius circuli punctis idem vel aequale lincarum comple- Xum, Seu collectum applicatur: idem de aliis punctis, vel circulis di- cendum cA. DROP. CZ II Si tantum habeatur ratio linea– rum, quae in daro sphaera puncto de- cussantur. lineae actinicatis non sune agnales: Sic enim maior circulus Sphaerae lucidae A, Sicque datum in ea punctum B, in quo decultentur F15. 12- infiniex linex CB, DB, EB, FB, CB, TIB, TB, SEc. Scque maxima omnium FB, cui selpondeat BNI, gulis punctis sphaera, ad punctum in sphaera actinicaris; sic alia linca NI, idem de aliis punctis rectae BP, sucide sphara GB, cui respondeat dicendum est; idem de aliis lineis in sphaera activicaris linea B M; Cltce