# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0528 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0528?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 470, page id 779785487:0528 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=528 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000528.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 87 lines, status machine # Lines: 87 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. 7c PE ZSTCK T R A CF. IV. eta line accipi debee, non in CuF- Va; IOItUL in LINU, nOn in aEcu; Led ve iam dixi res incerra est in aICUL maiore 30. gr. Duaresrlterius, verum certum AE, praedictas elliples, de quibus aCFUI est p. 36. elle dissimiles, de interiores else obculiores; Rel- pondeorem cerrissimam elle, nam in maiori proporrione decrelcie maior diameter, incerioris elli- Pleos, quam minor; led hoc de- monstrandum oller, inquies; cogis me, inuicus Facio, aC ImOTCM GeTO, SE radius luminis per FaTUM FAN- =19. 32. tum V. 5. AE, vel AM; Sic AB-. Eocius AF; Sc quoque BMI, Sectio mediorum, ica ve segmentum den- (0 immerlum sE BV, aqualc, v. 8. BA; Hoc pOsico, AB dicic-=. lumi nis diftusi per radium AF, in me- dio TacO; BD rero, in denso dicie 4. ergo ( AD Sc per dentum FAM- LuM, CrUINE =. FOCIUS AE, PeF FR. FIIM EanEuM; SIC AC, dupla AB, hoc est Lubdupla AMI, ret AE, hoc est aqualis AD; haud dubie, AD, per rarum tantum, dicic ?. prio- ris luminis diffuli per AF; TunE enim in lingulis luperticiebus aquales luminis portiones; igieur cum Ccgmencum BD, in dento, dicac =. prioris luminis, (1 vel = collantur, habebitur BC; hoc est . hoc est =. BD, guae cum =. luminis difust PCF AB, in raco, Facic=. prioris luminis; itaque Hane elliples duae, ADML, ACOK, e duo quadrantes, ADI, ACFI; hoc polico veBG, est ad vel vE 3. ad 4. It2 60. ad 80. id est ita quadeatum BM, ad quadrarum, AL; certe AL es rad. quad. 60. id est, ferc 9. paulo minus; igitur AL est ad AD, HOC est MaIOE aIAMETCE, ad Iminorem vE 9. ad 4. POIFOSIE AB, Z. BC erIE E. IgIEUT AC, 40 AC, 6. IoITUI BF, Lad. quadi. 7. e BG, rad. quadr. 27. sIE aUTEI VE 7. 2d 16. I12 27. 2d 61. 3. Roc crie quadeacum lineae AR, illud vero quadratum BC; led radix quade. 27. CA fere 5. . _ radix quade. 61. 2. est Fere 8. Paulo minus; at- qui eatio =. est inor rationc =. isieur in maiori proporrione, de- crelcie maior diamerer, quam mi- nor interioris ellipleos, quod erae demonstr. accepi terminos in pio- porrione determinata, VE Eyiones eriam ipli capere possint: ve au- cem Ac ellipHS Similis, SIC, VE AD, ad AL, Ita AC, ad AP, id est, VE AId, Cst ad AC, VE 3. ad 2. v el vE 6. ad 4. Ita AL, ad AP, SIE VE 3. 2d 2. hinc vides aEcus CO, DrT eACVE CA, DA; at CG est InOE CO, VEPaTeE; IgICUF SIE VE CO, ad DN, ita CG, 2d DR; diicarur- que CR vides esse vE CO ad DR, ita C A ad D A: _ haec est verissi ma retractionis caula. PROP. ZL I1. Raclios incidens oblique ex cclso in rarum, refrincitur a perpendicu- lari; FIac prop. Fuic lecunda hy- Poch. quae per oppolitam rarionem probatue; cum enim radius inci- dens Cx raro in denlUIm, MMUTeTUE AL, ita BMI, ad AI; sic aurem in retiactum; cum ex retracto, Ac AD, vel AI, 4. AC est radix qua incidens, ex denlo, in rarum; v. 9. Fig. 24 dc. F2. s aurem AD, est 4. AE, vel li TB cadar ex raro, in dentum, AMI, est 8. _ AB 2 igitur BML rad. retringirur in BI; e si BP cadaE quadr. 60. SiE auTeM rE 22, 2d 16. ex denso, in rarum, retringitur in 3