# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0523 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0523?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 465, page id 779785487:0523 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=523 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000523.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine # Lines: 91 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. LIB. III. DE REFRACTIOHE, RC. natuT; e quo plis ab ea recedune, magis incuruarur: sed radius obli- quius incidens secae arcus magis Ttaequales; id est secundum maio- sem inaqualicaris proportionem, VE Paree; igitur agis INCUTUAEMI, ec retringitur; acque adcd angu- dus retractionis maior est: IlInC secunda pars prima hyporheleos demonstraca inanet, non tantum quod sic, verum etiam proprei quid sic, constabie. PROP. ZXZ YETI. Sine centrum lucidi, a plano di- aersi medii, plus, sine minus distet, eidem angulo incidentia, idem an- culus refractionis respondet; Sit enim radius incidentia AK; Cen- erum lucidi A; planum diuerlime. dii LO;angulus retractionis TIKF; acrollatur planu L C, in OS; LINE que HIP, N o, quadrances cllix. Peos; hic quidem limilis BC, vel FD; ille vero limilis MB; igieuE VEMA, ad VTA, ica MB, 2d LIP; d vENIo, ad MC, icaNA, ad MA; isicur cadem est proportio inaequalicarIS, INEEF MK, _ MI, de InTeF NT, de NR; igitur xque incuruari debet radius, igitur ideim angulus retractionis eidem angulo inculencia semper respondet, siuc lucidum procul, sinc propesarua- TUIT; E haC est hyxoch. quarca, de qua iam constac, proprer quid (Ici Dices commiltum clchactenus vi tiolum circulum, nempe demon. Aras radium incuruari, quia diffu- So Ec lecundum superficies dissimi. les ellipricas; de ideo AE secuM- dum has, quia refringitur radius; Relpondeo non esse circulum vi- ciolum, sed Felicem regressum; naren Tom. IL 465 deretractione, quod Sc, ipPo Penlu coonolco; quod vero lumen distun- dacue rniformirer, difformiter, cum Scilicet radii paralleli non lunt, ex cerris principiis habeo; quod au- tem hanc diffusionem terminee el- lipsis, vel alia hgura xquiualens, cum radii ex raro in dentum inci- dine, eo modo, quo dictum cA Tupra. perspicuum redditur, ex dif- Fusionis cerrissima reguta; quod eriam elliples sine dissimiles, ex ca- dem regula constar; igicur (1 ex bis omnibus concludani, radium obli- que incidentem necellario retrin- si; certe ririolum circalum nor COriETO. PROP. XXZIZ. duo medium, in quod radius obligue incidic, densons est, eo maior est anculus refractionis, posito scilicet eode incidentiae angulo: Sic enim cen. FiB. 31. trum lucidi A, sectio communis mediorum FP; sic radius AL, PCF L2- rum cancum diftulus, e FHI seo- mentum denlo immertum; allinna- tur AS, aequalis AI; Sicque qua- deans ellipleosFISD; sic radius in- cidentia AO, e retractus ONI, C0 modo, quo a me lupra dictum cst, nec enim hic Lepetere vacac; sir idem Peomencum FTI, immerlum medio densiori, ita ve radius per earum cancum diffutuS, (IE AR; 2C FUAEUE AI, aequalis AR; tacque Mlliplis FITK, iplique similis GOF; DE GPC, est Cmilis EISD; haud du- bie maior est proporrio inaequali TAEIS, INEeF FIM. GO, quam IITeK TIV, 6O; X maior inter 6960, quam inter OP, CO; igitur maior incurnatio ele debet; VE PAFCE CX dictis; nempe ve aequalicas nullam incuruationem dicit, ita maior inae gUd