# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068192:0087 # Permalink to this reading: https://leibnizlegible.com/page/00068192:0087?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 11, 18B # Folio 87, page id 00068192:0087 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068192&page=87 # Source image: https://digitale-sammlungen.gwlb.de/content/00068192/jpgs/default/00000087.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 67 lines, status machine # Lines: 67 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. Lineam LA 2R. S tempore aequali CM Lineam 2AZA erit 8 Linca 2A2A ae qualis LEneae 2 R 3A alioqui non satis convenient motus prior simpliciter nosie riori (contra definitionem motus, sim plicis) itague punctum aquasibustem poribus aequalia describit spatia, Rocese perdictam def. 1.) motus ejusest uniformis dopoo C simpliciter Defin. d Motus, implex est rectilineus. Cp ACSIFaNEVS autem motus est inquo unum quodq punctum mo- bilis describit Lineam rectam. mune iA ZA erant S congrua, Dit mobilis punctum quodeunqe A deseriben3 Lineam 1A2A ZA3 p. Simpliciter si motus mobit is est simplea, ajo Lincam descriptam esse rectam. sit enim non recta si possibile est sum 20 adiquo puncti. A Loco inbermedio ut 2A non cadente in directum cum primo Suetimo punctis 1AY34, utiqe junctae rectae 1A 2A83A2A; facient angulum 1A2 A3A. quod Si jam motus prior& posterio simplilita conreniunt (ex def. motussim plicis) angulus 1A2A 3A semper erit aequalis, ubi cunque durante motu He cum habeant 8 Latus com motu sumatur punctum 2 A Ves (2) Asitaque Linca 1A2A(2A3A erit arcus circuli lex elementis, sed Hoc esse nonpotest. Sungabur enim recta 1A hA necesse est (06 simpliciter motum simplicem) angulum 2 A1AZA aequatem esse angulo ac (3) A1A ZA. cumque Panguludit sit aequatis anguto ad (2) A, etiam ver- tins in triangulis 1A2A 3A ∞ 1A(2) A 3Kangulus erit aequatis nempe 2A ZA1A e (2) A 3A 1A sunt ergo trianqula ae quianqula congrue adeoque Latus 2a3R erit aequate La teri (2)A3R, ac proinde durante imo tu omnia puncti mobitis A Loca intermedia ut 2A et (D) A semper aequaliter distabunt ab extremo motus punctohA, quod est absurdum nunquam enim perveniret mabile ad3A. neceose est ergo ut rectae s IA2.A, 3A2A nutLumfaciant anqulum neque inberse neque ad recbam it hA hoc est necesse est motum 1A 2R 3A fieri in Linea recta, seu puncta 2A cadere in rectam A. rop. 3