# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0507 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0507?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 449, page id 779785487:0507 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=507 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000507.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 90 lines, status machine # Lines: 90 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. 1 1) C3 Ba 1. 1t LIB. III. DB REFRACTIOHE, _C. D E F I N LF1O I. Refractio est radii, cum ex vno- in aliud medium subit; incurnacio; Elaec definirio clarissima est, nec quidquam disticile habce. DE F I N I Z1O FI. Restexio est, radiis ab occursu plani reditus, seu regressus:. II Speculo huiulmodi redicum habes; quomodocunque randem id Aac; sive ab ipla prima Speculi superti- cie radius regrediatur, sive post aliquem Cemicircuirum, vel in- curuationem, quod intra dehinie- mus; led ve aliqui termini capian. tur a eyronibus; canculum sche- 18. 24. maris Cubnecto; sic planum AC; SIC radius incidens DB, angulus inci- dentix ABD; radius retexuS BC; angulus retexionis CBO, aequalis Scilicet priori incidencia: Praecerea SIEINEFa DlaMU AC, medium pet- Spicuum densius; sic radius inci- denria DB, angulus incidentia ABD; radius productus BK; FC- FractuS BI; angulus retractionis IBK; angulus refractus IBFL; Per- pendicularis BFI; linus anguli se- Fracti MI; sinus anguli comple. menti anguli incidencix RL: auE Si vis SiE radius incidenciae IB; (IC. que Lupra AC, medium rarius, ra- dius productus erir quidem BE, sed retractus erie BD, crirque fnus anguli retracti DO, _ linus an- e eo magis incurnatur, quo obli- HI Y P OF H E515 L. IIY POF H E S IS IL. Radius e medio denso in rarum recedat a perpendiculari; v. 8. IB. oblique incidens, incurnatur ver- in B. TIY POFHFSIS TTT. Radius in medium quodlibet per- pendiculariter incidens nunquam in- curnatur: Y. 9. FB recta cendic in Radius e medio raro in densum BII ieres praetara hyporheles cer- tissimae Cune, e dere, quod lic, dubium esse non porest; proptes quid vero lic, demonstrabo intra, ex meis principiis. HIY POTHESIS IV. Radius in idem medium, secun. dum cumdem angulum incidens, sine sus perpendiculum: v. 9, DB, in Bl; Tom. LI. quius incidic. oblique incidens, ita incurnatur, 2E suli complementi anguli inciden. FIR, FII. 449 loncior sit. sine brenior; refringieur; secundum cumdem anculum refra- ctionis; De re quod lc, cerrisI- mum est. TIY BOF H E S 15 V. Radius cadens in punctum super- ficiei curnae, perinde se habet, atque si in tancentem ejusdem puncti in- cideret; e idem radius refractus in denso potest dici incidens; si c raro prodeat; v. 8. DB incidens AC re- Fractus in BI; sed IB incidens, AC refractus in BD; dere quod sIc, cerrissimum est. Le a 2e t au e Non potest accto per meuam quoalibet dissinat. iest raas sit quo diffundieur sit determinatus: Cerrum est ex l. 7. Mecaph. quip- De omnis actio diffuliur dicic r2- dium, omnis radius lineam decer.