# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0515 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0515?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 457, page id 779785487:0515 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=515 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000515.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine # Lines: 91 recognised, mean confidence 0.89 # 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. TB. III. DE REFR A TION F, _EC. 6. Daro radio lucidi in medio tancum denlo, _ primo LCgMentO, in medio rnro, invenire alcerum in denso; sc idem radius AMI, vI- de lupra; SE AN primum Sesmen- cum in FarO; Sc dupla AM; hic erit radius coralis in raro tantum; unde segmentum alcerum in denso haberi poterie, per B. 2. 7. Daro radio lucidi in medio tancum raro; daroque primo scg- meneo, in denso, invenire alcerum In FaTO; reducatuE Faclius cocalis in medio raco, ad rocalem in mC- dio den(o, per n. 1. _ TUNC per M. 5. habebitur proposicum. 8. Dato veroque legmento, in diversis mediis, invenire coralem radium, in eodem medio; si pri- mum sc in denso, e alcerum in raro; hrabebitur propolicum per AIINI. 4. SI VeFO PEIMUIM LIE IN Fa- to, et alterum in dento; ve habea- FUE FOTAIIS, DeF PAFUM CANEUI, SIE peimum AN, alECrUM NYM; CIE NL aequalis NK; X NK densi relpondeat HI E rari; dico AFL eNC cotalem radium in raro cantiim; hinc per num. 1. in denso tancum erir AN; ex his reliqua Facile in. celliges. PROP. X VIY Si radii ex raro in densum caden- res, sint diuersa loncirudinis, secun- dum scemenium raro immersum, illi radus longius diffunduntur, quorum seementum loneius raro immersum Eis 28. est: Sic enim cenrum lucidi A; CIF planum BI, Cupra quod, versis A, tic medium Farum, inFFA verO, den- Tum; cerre omnes radii qui ab A, PeF MECIUI FAFUI CXCUFEIME, SUIHE inaqualis lonsicudinis, v. 8. AB, AF; AC, ac. d minimus cAt per- pendicularis AB, 2 quo alir, quo Plus dictane, longiores lune; hoc Polito siC AB Leomentum brenissI- inum, caco immertu, ee BF Lon- sistimum denso immersum; sic lon- sicudo radii AX; posiro quod, per rarum tantum, F daca vis luminis, diffundatur; AE rero, posco quod Cx AB rarO. Tabear in denlum; (IF alius radius AFL, lonoior AB; haud dubie non cantum per segmentum TIMI, Sed per lonoius, in medio denso, quod subit, diffunderur. per prop. 14. idem dico, de AC AF, AI. PROP. ZV TTY Frinc licet eo minus sit seementum immersum denso, quo mains est ce mentum immersum raro, quo tamen hoc mains est, complexum verius que segmenti ed maius est: Y. G. lIE AB Seomentum, quod raVO COm Derit, ee BF quod dento; sic alius radius AM, Scque AFI longins AB, equidem Legmentum v. 9. LIN refractum, quod denio immeroi- tur, minus est alio BE, quod criam denso immergieur; complexum tamen AFINT, maius est complexo ABE; nemDE AE, ANI. AM, CunE aequales; Sed AFINI, per modum vnius, maior cst AHI; duo (cilicCe lacera erianguli, certio maiora lunr; IgIeUE A FLIY est MaIOE ABF; pari modo AFINI est minor AL 7; _C. ergO propolitum constar, e complexum ex radio illaplo AFI d toro retracto LIHI est maius quam AE vel ATIM. minantur acbi cL: allo ea ceito A: Alioquin aliquis radius, qui Eet Mtr lOn Tom. II. 2 2 2 2. A 2 120 Lane omnes radi refracti non ter