# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0527 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0527?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 469, page id 779785487:0527 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=527 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000527.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 91 lines, status machine # Lines: 91 recognised, mean confidence 0.90 # 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. LrB. III. DE RR EF R ACTTONF, _C. 4. Daco angulo incidentia; cum Tuo angulo retractionis, dicere an- gulum retractum, derratatur angu- dus rerractionis ab angulo comple. menti anguli incidentia, reliduus exit angulus refractuS. 5. Vatis angulorefractionis, e retracto, dicere angulum inciden- ria, cui COmpeTUINE; addacur rnuS alteri, e complerum derratiacur ex quadrance, reliduus etir angu- lus incidencia. 6. Datis lnubus, dicere ai- sulos, daris angulis, dicere (ImIIS, Facilis res cs. 7. Dato incidentia angulo da- taque mediorum differentia dicere angulum refractionis, haec Fuie PrOP. 42. S. Daca mediorum differencia, dacoque angulo incidentix, cum Tuo retracto, data aliorum me. diorum differentia, dacogue co- dem, vel diverto angulo inciden- tiae, detinire angulum refractionis ipsi competenrem; ex dictis per- Spicuum est, nec divrriuis AaLCO. 9. Lass dalo Gueddem scou. la pro quolibet arcu etiam maiore valeret, detiniri porest axitus angulus retractus, daro quolibee retracto; cuilibet angulo inciden. LI_ CODCTeNTE; SIE V. 9. anguluS incidencia ABD; complementi retos IIBR; TCFTaCtIS, EIBI; SC- que vE KL, ad IMI, ItA BC, ad aliam; Puta 2d RV, duCATUE BR, CCFEC HIBR est maximus angulus retractus, qui derralracuI Cx Qua- deance FIBC, RBC erir maximus anoulus refractionis: Llinc A ve- rum es, quod dicir Carrelius, ra- tionem linus complemenci; ad (i- aquam Cubic, id eR; vE 4. 2d Z. SIEVE 4. 2d 3. Ica SInuS EOCIS 10000O. 2d 75000. cerre angulus, cuius tancus est linus retus, Scilicet 48. 35. est manimus angulus retractus, quem s detrahas ex 90. habebis angulumm 41. 25. pro maximo an- suilo refractionis, quod Caltem pro- xime vecum est; Sed quia paulo maior est praedicta ratio, quam SiC =. eA enim quati 18. id cAt, ve. 100000, 2d74800. qui eA (inuS Fectus anguli 48. 25. hic erie ma ximus angulus retractus, guem (I decrahas ex 90. reliduus 41. 35. erie angulus retractionis maximus, Polita Scilicer praedicta mediorum ratione. 10. Ouo maior est angulus in- cidentia; radius refractus accedie Propius ad perpendiculum; quia quo hicmaior cst, angulus com- plementi minor est, ergo minor sinus rectus illius; ex cum (IC C2- derrs FariO OMIIUM, CeTTe mInOE quoque erie linus anguli refracti; isitur ∞ an g,ulISs. OUXTeS, CUE menlura aCceTuS radii refracti, NOM aCCipIaLUL, II aecu, porius, quam in LInu; Rel- ponderet aliquis constare ex cerris. experimentis; ab arcu non cHC aC. cipiendam, igicur a finu, cum ab. alccrurro accipienda lic; vis rario- nem; accipe geminam; prima elt, quuia incuruatur radius, co quod ex arcu exterioris ellipleos (eg- mencum derraharur, quod cerce proxime ad rectam accedit; secun- do quia distantiam linea recta ine- FIEME, nOn Carua; IsItuE cum mi- nor, vel maior acceltus, dicae maiorem, vel minorem distanciam, num anguli refracci, esse selqui excremi Ccilicer puncti radii, haud vecrium, currs radius ex aere, in dubie rera secestus mentura in se- I. I. LI. N2. et