# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0258 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0258?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 172, page id 779782283:0258 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=258 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000258.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. 1 PEXSTOE PRACTATVS iunctis, cujus balis rectangulum est, horironti parallelum; habes 18. 42. Fehema in h9. 41. idem dico de cy- lindro secto, cuius schema hrabes F18, 42 In A9. 42. Decimo li conus plano verricali 2figatur, secundum balim, et ha- beacur tancum rario ponderis pro- Peij incurnatur in camdem curuam 18. 40. V. 8. COnS LO in arcum L 4. quia cum singulis punctis aris LO rensio imprimacur, in ratione di- stanciarum. Sequitur praedicta in- curuatio; imprimitur aurem haeC censio, quia ponderis proprii mo- menta, aduersus ingulas balcs. INCeF LO, Cune re distanciae ve de monstracur eract. 2. lib. 5. PFOp. 73. Am. I. E2 autem racio. cantum pon- deris appensi habeatur, incurIaEuE in parabolam, cuius verrex est in 4. quia momenca lune in duplicata distanciarum permutando; ve de- monstratur ibidem ruum. 2. Sed ex hac incuruacione, sequitur p2- rabola, re constar ex dictis; idem dico de pyramide, quod de COnO. Vndecimo si planum paraboli- cum muro admoveatur, live balis sic horizoncali, sive perpendiculo Parallela, liue proprii, Cuure appen Sponderis cario habeatur, Facilé definiri porele incuruarionis linca, quia detiniri e demonstrari porest ratio censionis, e momenti; cun- cta haec demorsctara habes lib. 5. eract. 2. PFOP. 74. DROD. CCLZ VI Ouando omnes partes aequaliter rendunur in arcu, si deinde fat re- ductio partes, quae sant versus ex- tremitates adductas, reducuntur ab aliis prorata: Hlac proxolicio ali- qua explicatione indiget; Sic enin Pemiarcus ADF, Cicque aqualis. ren - Big. 43 SIO punctorum A, D, F, arque adeo aequalis nisus, re le resticuane in ACF; Cuppono enim, rectam ACF, aequalem eAC arCI ADF, dE ADF esse arcum circuli, ve constat ex dictis Cupra; praecerea puncta D, _e F, aeque cico in C, F restieuun- EUT, ve Paret: his policis, Facilé Probatur propolicio; quia CtI punctis D e Laequalis inlir nisus, et vis pocencia morricis mediae; cum camen (petium DC, quod de- curritur à puncto D, SIc minus quam spatium FF, quod a puncto F. decurritur, neceltario ina quali mo- LUIOvenEuE D, X F, cum inae qualia Sparia inae quali tempore decurrant; igicur D secu etiam adducie P: imimo. nullum est punctum, quod lecum. alia non adducat, prares F, quod toncum adducieur, sed non addu- cir; ex nullum est, gnod non ad- dUICALHE, PEaTCF A, quod taneum adducie, non adducitur; igitur puncto, quae lune ab A, versus L adducuneur, in reductione, nempe quocielcumque ruum corpus im pedic morum alterius, ab impetu huius, re hoc impedimencum tol- lacur, in illo, impecus imprimieur VE pacet ex eract. de moru locali. lib. i palsim, led praelertim ch. 440 analogiam clarissimam habes in eylindro, qui circa alceram extre. nicacem immobilem hinc inde li- brari porest; nam illae partes, quae propius ad centrum accedune, cum ab aliis rerineaneur, alias etiam Secum adducune, re dictim est fuse in eodem Eractacu lib. 10. _ in append. 1. Pari modo, ve renlus arous reducatur, parres illae, qua Proxius sccedune ad cencrum, id