# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/779782283:0642 # Permalink to this reading: https://leibnizlegible.com/page/779782283:0642?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 556, page id 779782283:0642 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=642 # Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000642.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 66 lines, status machine # Lines: 66 recognised, mean confidence 0.92 # 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. PH ZSICE TR ACFAFVS II. circularium, Cune in eriplicata dia- menra adaequentur, sic pondus ap mecrorum, haec ex dictis supra pe- Pensum C, ad appentum B, Ve AB, nicus constane. CONOLL. Primos colligo, E cancum consi- derentur appenla pondera aequalia, cum momenca sine re reliltentix permurando, Per Prop. 46. esle in eriplicaca diamerrorum, balis per- mucando. ad AC; acque ita deinceps, mo- menta ponderum appenlorum, crune ve longicudines, id est ve distancix a basi relistente; igitur s pondera sine ve distancix, permutando, etunt aequalia momenca. Oninto, dices ( hoc essec, pondus intinicum desideraretur, ad Cupe randam relistenciam finitam; Cic enim Secundo, hinc si sinc duo claui pondus appentum B, cuius mOmen- cylindrici, aequalis longicudinis, A, de B, e diameter basis A, sic dupla cum ada quer sibi oppolitam seli- Aentiam; sic AC, subdupla AB diametri, balis B; cerre clauus A igicur pondus duplum, appenlum Lustinebir octuplum pondus, alce- in C, eric eiusdem momenri; eigc rius; Cic enim extremicari B, ap- quadeuplum in D; ex cum in inti- penlum pondus, cuius momentum nicum minui possir distancir, ab A. adae quer penicus relistentiam Bals; in infinicum augeri porerir pondus. sic aliud appenlum exrremicaci A, cuius lane momenrum reliltentiam equale priori; momentum huius, adaequabic, non camen luperabit ad momeneum illius est re 1. 2d 8. Respondeo si agatur de relistentia id est in triplicara diamerrorum respectiua, haec omnia, Ve vera Con permurando; igitur si octuplicetur cedi a nobis; hoc enim pertinet pondus appentium A, adaequabic ad racionem rectis; rbi camen per relistenciam sibi opposicam; igitur venic adE, ica reTa, sic Cubdupla clauus A Custinebir pondus octu- AF, dico huic momenro ponderis plum alcerius B; Terrio, hinc vires clauorum ad resistendum, appensis ponderibus, in P appenli, aequalirer opponistum absoluram, cum respectiuam reli- cenciam; cum enim haec ad illam vel ad Pustentanda pondera, Cune in lc, ve longicudo, ad Fubduplum la- eriplicara diametrorum balIs, mo- do claui, eiuldem longiendinis Cup- tus balIs; cerre s IA Sic longitudo, DE AF lacus Ba(S, CIIUS AH, RIE Donantur: hinc si diamerer A, sic Cubduplas IA eE AK Cune ae quales; dupla alcerius B, A B Custinere tan- igitus aequale veriusque momen- cuin porest s. lib. A Cuctinebic 8. tum; igieur momentum ponderis Si diaimecer A, Sic cripla; Juctine- in I, non minus adaequat absolu- Bic 27. lib. si quadrupla, 64. _c. cam, quam respectiuam relistentiam; Ouarco supponicur pondus, ap. si vero promoneatur pondus ver- peulum exrremirari claui; si enim Cus A, in M; licque ad appensum eius extremitari non appendatur, in B, re AB, ad AM; equidem se minus trabet momeneum; v. 5. sic comporetur cum respectiua, adx- Fip 23. clavus AB, Sic pondus appentum in quabir illius momeneum, s verd T2b. 2. B, ejus momentum est ad appensum cum abloluca, hanC prOFectO siL is C. Vr AB 2d AC g VE AMILEI MO DEKAE; quix ad _qUALEM MIOTII ovencis