# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0530 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0530?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 472, page id 779785487:0530 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=530 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000530.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 89 lines, status machine # Lines: 89 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. PAZSIC AE LM, VE quadr. RG, ad quadi. Q ib; Led gnadr. RLL. CA ad quadc. L M, ve 28. ad 12. eAtque quadr. RV 26. igitur quadr. R9 ett ad quadr. Qu, VE 16. 2d9. . igicur quade. VO cst ad quadr. it , vE 12 2d 9. =. sIC autem BF parallela AC, CCKEC CUM CP, CA SinE Xquales, crunt eriam CP, CB aequales; icem P3. BA; iSICUE 3T, C B, TN aequa- les: led tinus anguli ZP8, est ad Tinum corum, ve rad. quadr. Tub- dupli. ad rad. quadr. dupli; igieur cum quadr. Cnus torinS CupPONa- tur elle 16. quadracum linus angu- li 4i. eric 8. Sed quadr. PNV cAt 20. _ TN q. iDIEUL VE 20. ad 4. IC2 quadracum linus corius, id cl, 16. ad quadrar. linus, anguli refracti TerT; igieur ve 16. ad 3. = IgIEUE lonse maior est rario quadrari si- nus anguli 45. ad quadeacum (1. nus angali retracti, quam quadi. VO ad quade. Qu. COnEra PFOP. 43. Praeterea cum angulus TPN SIE 18. Orad. 34. sI detrahaTUI CX 45. reliduus angulus retractionis NVS eric 16. 812d. 20. angulo vero MKL, qui est 40. Grad. 54. derracto, ex 60. reliduus angulus refractionis LRR cric 19. grad. b. ioicur angulus retractionis compe. rens angulo complementi 60. Tu perac cancum 40. minuris angulum retractionis competentem angulo complermenti 45. quod est abliIE- dum, et omnibus experimentis repugnat; igitur praedicti omnes radii retracti producti ad idem punctum non terminantur, cum aucem ad idem punctum cerminari necesse lic, hinc ctiam hypochelis Carteliana refellieur. Lidu. PROP. CXLVI. Dato angulo incidentiae ex denso in rarum, daiaque refractionum mensura, dari pocest angulus refra- etus: Dic enim v. 8. angulus InCi- F18. 24. deneiae PBC, ex denlo in rarUIM; Sictacio =. pro mentura refractio- niS; aBTLIIHBEUE PZ, 7. PZ; Cirque YR parallela IIB, duCaEHE RBI, dico angulum RBFI, vel ipli aequa- lem TBF. esse angulum retractum quaelicum; re enim linus anguli complementi, est ad linum anguli refracti rE 4. ad 3. cum Padius in- cidic ex raro in densum, ita cum incidie ex dento, in ParuMI, est VE 3. 2d 4. SCd L F, eA 2d VR, vel ad Ty, Vc 3. ad 4. c. g0 IBF elt augulus retractus qualicus, e BI radius retractus. COR O L L. Primo, colligo haberi posse an- sulum incidentie cui respondeat angulus retractus 90. grad. sic enim eadem retractionum segula, seu mentura, Scilicet ratio =. licgue circutus AODH, cenero B delcrip. F18. 34 EUS; SIE AD, mediOraI (eCTIO; HIE- que intra AD, medium dentum, Lupra verorarum; sC CD =. BD; ducatur C F, parallela BG, TuM FF, aequalis C B, dico angulum inci- dentia DBE, illum cMle, cui respon- det angulus refractus 90. hoc cst ABIL; quippe linus complementi EF, elt ad linum corum, vel ad l- num anguli 90. VE FF, ad BD, vel ipsi a qualem BA. Secundo, hinc radius rettacius CA B A, concurrens lcilicet cum Lectione ecor. Me i ooue EtuIm, lIc in F, _ OculIS in A, LIOM videbir obiectum in E, led in D; NeMPO