# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0521 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0521?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 463, page id 779785487:0521 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=521 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000521.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine # Lines: 90 recognised, mean confidence 0.91 # 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. DA. L. 1B. TII. DE REER ACYIONB, QC. currie radius retractus productus; v. 8. Crradius incidens AZ, Erque AL s angalus oppolirus ansulo retractionis, cerre quo punctum concurlus s longius dilcedet d cenero lucidi A; angulus AL 8 exirmaiOr, VE PatCE ex TerImIMIS; inor vero contra, quo propius ad iplum A accedet; IgITUI CMIM radius obliquior incidens Faciae deinde maiorem angulum retra. ctionis, minorem verominus obli- quus, per Hypoch. 1. V. 3. AZ, na- iorem; AHLminorem; AC, adhuc minorem; cerre radius retractus relpondens incidenti AZ, COnCUT rec cum perpendiculari BA, SI PFO- ducarur, in puncto, quod longius dictat ab A, quam illud, in quo concurrir cum eodem peipendieu- lari, radius retractus productus, relpondens incidenri AFI; ee hoc adhuc longius, quam illud, in quo concurrit refractus, relpondens in- cidenti AG, XC. DROP. ZZXV ne nullum ex prantis punctis, est centrum; à quo lex diffusionis accixi possit; Cur enim vnum po. tius quam aliud: Elinc arcuS Fy non est circuli; s enim eller arenS circuli, ex aliquo cenero communi describeretur; sed nullum cen- erum commune cs. in quo scilicer omnes radii retracti producti, cum Derpendiculari COnCUTTANE, per ProP. 33. isicur arcus Fy non est arcuscirculi; Hinc quodlibet cen- erum ex perdicis, rni rantum ra- dio comperie, concurrenti scilicee cum perpendiculari: porro ve ha- beatur linea rerr inans aeguiualenss c A= longicudo radii, diFuli FaM- Scque A 3. aequalis AX; haud du- bie linea F 3. terminar omnia leg- menca radii immerti medio dento, quae relpondent legmentis, per ra- rum incidencibus; maiora scilicer, rel minora, quacenus maiori, vel minori incidenci relpondent, ve supea dictum est; masis vero vel minus incuruara, quarenus maio- rem, vel minorem incurnationem lex diffusionis postular, de quo Paulo POI. P ROP. Z Z ZVF. Centrum lucidi A, in hoc casa, illud est, unde lex diffasionis acci- picur: Cum enim nullum sic aliud Cupea, vel intra A; sc eamen ali- quod quippenulla Ac diffulio lu- minisrniformicer, difformiter, nisi lex diftusionis ab aliguo CenErO aC- cipiatur, cerre praedictum centrum iplum A esse necesse es; hinc lu- iven in Cuperticic Er, est ad lumen in superticie DZ, ve haec superti- cies, ad illam, hoc est re quadra- cum DA, 2d quadracum EA, Per 2X. 5. Ouaeres quaenam AC LinCa: F. 3, vel Superticies, ex illa relul- tans: Relpondeo rix polle detini ri. Sed demus esse ellipricam; vel parabolicam, hinc quo radio- cum minor ditserencia elt, Curua. illa accedic proxiis ad circulum, v. 8 sinc duo radii AE, A 3, vETU- Pra dixi, quorum ille parcim per rarum AB, parcim per denlum BE, A 3. vero per rarum rantum dif- Fundatur, aEcus curux CA F 3 5 Cinc alii duo radii AZ, AD ; ITa VE. sit minor differentia AZ, AB, quam. A 3, AE; COFEC AECAS DZ accedir propius ad arcum circuli, quaim. F. 3,Vc conscat ex Geometrin: Flinc cum per rarum, ve supra dictum est, 62, F. 8 ,. nOM EUNE AECUS prO- porrionalo