# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068156:0016 # Permalink to this reading: https://leibnizlegible.com/page/00068156:0016?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 3 # Folio 8v, page id 00068156:0016 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 7r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068156&page=16 # Source image: https://digitale-sammlungen.gwlb.de/content/00068156/jpgs/default/00000016.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 55 lines, status machine # Lines: 55 recognised, mean confidence 0.93 # 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. autem ex Phorographicis dynamica definiri invenim. Nempe regula haec est, quaecunque theorematalocum habent constanter in etphorographicis, in quibus, ita ut et aequali jure tractant utrumque corpus et eiusque progressum, eodem et locum habent in dynamicis Reperietur autem semper aequal et prcontinuatione vel retro sumta, vel porta (quasi dintius pro arbitrio durasset apraesens motus) vel porro sumta (quasi diutius pro arbitrio duret, seu cocursu; non impediuntur. ea etiam in dynamicis, locum habent Talis est constantia ipsius progres sus centri gravitatis, seu ie, C(C) et constantia mutatio nis intervalli sive velocitatis respectivae seu AB - (B) (A) sit stotus aute ocursum 1A, +B, B; et post concursum 3A, 3B, 3C; et +A, 2B, 2C sit vel ante concursum vel cocursum; vera manebunt nostra theoremata dissimulato etiam con- cursu intercurrente. Exempli gratia sit A per se quatur fugien sitque concursus in D. sumatur paula anteocarsum Repraesentetur tempus per motum aequabilem ipsius C, itaque temp momento 2C respondeat t 2A, 2B ante ocursam. Patet cum aqualiter decrescant terro C procpediente usque ad 3C, ut sit 1C2C = Z tempore, fiat sit a aequm seu tota mutatio facta tempore 2C3C aequatur eidem facta tempore erdo +C2C. Nepe tempore C3C duo finat primum mutatur inter- valum 2A2B, donec concurrant A et B, quantum possunt, seu donec amalius sibi accedere nequeant, quamutatio est 2A2B, demto tamm spalio inter centra gravitatis ob motem corporum intercepto quo intervallum sit H Ergo mytati quae maratio est est 1B hoc intervallum vacetur H. cessario reliaquendam vocetur X et it t et itarmutatus tempose y d erit 7A2B = K. Rursus matat poste rursus a seinvicem necedere oportet mobilia, et mutatus intervalli tempore D3C , 3A3B K. ergo tempe 1A1B - 2PA = 3A3B - 2B2A. Ergo fit 1AB- 3 ac proinde infigura alia sit 2A2BZC, cocursus, et r sed retrotrahatur quarta parte temporis, ex iC in (2C) retrotrahentur et A, B, pro 24, 2B in (_) 2p) et 3A, 3B, 3C, similiter in (3A), (3C) (3B))rAB = 3A3B A+ B= D (EA) EB) et ifa A A) _ C iC(C) = 2C3C) ja m 2A3A 2ABA)L 2 2ABA): 2A3A:: rCBC): 1C2C BABB) = 2CBB = 2C (A) sit 2, 2A, 2B, ide. Ergo 2BBB] 2ABA) EA, : 2B3B = 2A3A : 1CFC): 1C 2C seu (3ABB): 3A3B: : 1C(2C): 1 C2C sn (3A (3A (3B) = 3A3B. 1C(2C): 1C2C. simiiter A( A). +AeA, et 1B2B A(2A) = 1A2A, 1C (2C): 1C2C et 1B(B) = 1 B2B. 1(2C): 1C2C. ergo et 2C(A) = 1 A2A = 1AEA) = 1A2A, 1C2C= 1C(C) : 12C et similiter 2C(2B) = 1B2BD 1C2C - 1C 2Ch: 1C2C jam (2AEB) = 2(2A - 2AEB). Ergo (EA) (2B) = 1A2A = 1B2B, 1C2C - 1 C): 1CIC est autem 1AEA - 1B2B = 1AIB, et fiet 1AIB = (2A) EB) = 1A. B, 1CEG): 1C2C = BA) BB) sed quod senfit 1A. B = EA) 2B) + (3A) (3B). Ergo similiter in oraecedente figura fit 1A1B = 2A2B + 3A3B. Sed haec aliquando accuratius elaboranda, et universalius concisienda seu non obstante concursu