# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779785487:0542 # Permalink to this reading: https://leibnizlegible.com/page/779785487:0542?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 484, page id 779785487:0542 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779785487&page=542 # Source image: https://digitale-sammlungen.gwlb.de/content/779785487/jpgs/default/00000542.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. 18 PE YSICA TR ACT. IV. quod idem est granitarum, sic fe- angulo ABD; sed angulus DAF re millecupla; adde quod latus BC, in quod DC. cadic perpen- diculariter, tangir arcum C M, in C, de recta M C, in M; Sed (I producantur linex CFMI, BM. Fa- ciene angulum retractionis, vt Pa. cer; hic enim est, qui Hc a Con- curlu radii incidentia e retractis acqui arigulus, quem facinne duce cangenres decullata, est aequalis angulo, Tub codem arcu, v. 9. MLC, POlITO quod L sC cenerum aECUS MC; led hoc dici non po. cest; alioquin polica racione densi- eacum, vel arcuum dupla angulus. MLC superac lubduplum LCD; IBIEUE SIE FCD 45. angulus retra- ctionis eric 22=. quod dicinon pocest, poluca Ccilicer ratione dens- earum dupla. Sed verumque Forre negabis, 1iA gcometrice probetur; re morem geram, id brevicer praelto; (IE aE- 515. 39 cus FC, Tub angulo E AC, ducan- EuE duae TangeHTeS exTrema puncta pradicti arcus; ScilicCEED, CG, decultacae in puncto F; dico angu- lum DF C; aequalem esse angulo Tub areu CF, hoc cA EAC; PrO- ducatur enim A C, in D; duo erianoula D AF, DCF, TLIME xquiansula; nempe habent ansutu Dcommunem, de alrerurectu xqua- dem; igitur cerrium DFC aequalem Terrio DAF, quod crar demonstron- stum; quod vero pertinet ad sccun- aum; lc idem an suluSDAF, SIE AFL, parallela DE, X lubdupla; dueaeur per II, DB; dico criangula DE B, IAB ese proporrionalin; ergO vE DF, cA dupla EI A, ita E B, eA dupl2 A B; IgICUE E A, AB aequa- continet verumque; ergo non est diplus anguli B; alioquin angu- li D, B trianguli D A B, CAenE aequales; addo rnum, in quo etiam ab aduerlariis peccatur, cenerum aecuum prioris Agurae Scilicet FD, Eis 38 CM, non esse in linca DL; quia cum recta FD Sc chOrda arCUS, _ cum CD cadat perpendicularicer In DE; COnCAE CeNEruM aECUS NON ele in D L, Scd in F L.; idque in puncto, quod dividit FL, bita- riam xequalirer, cum angulus ie- EEuS EDL, Cc Pemicirculi; Sed iam 2d alias rationes venio curlim. Sexro perpecuus aeris morus facit- lime disttaree leneam illaM, FCMa- cemque mareriam, atque 2deo pa- rallelarum linearum ordinem per- curbarer; analogiam hrabes in hra- lieu: Seprimo, lumen in orbem diffundieur, re conttat ex dictis; igitur per triangula, nOn PeF Pa- Lalleloorammiata; ad de quod Cisir quodlibet punctum lucidi, in si- perticie policum videaeus, ab Ocu- Lo, in quolibet puncto plani po- Cico; haud dubie a singulis licidi punccis, versus planum converlis, 2d idem plani punctum, eadii emie- cuntur; hinc omnes per lineas p2- rallelas non incidunt plano; deinde quanta curba, quantus crimuleus. divertorum radiorum, in cundem Porum concurrentium; quanra di gladiario inter lineas parallelas;vis camen hic linearum parallelarum ordinem leruari; alters analogiam aqua; Ccd in hac, polca Cmili cmis- Tione nihil nisi meram varrium co- Fusionem video; igirur is mitui nOn est Romachi calor, qui haec con- les; led AD est maior AB, ve pa- coquere PODIE. ret; ergo ansulus ADB eAt minoi Octauo, in corpore polito, pon ROTUIX