# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00051018:0136 # Permalink to this reading: https://leibnizlegible.com/page/00051018:0136?run=25 # Title: Leibniz-Handschriften Aufzeichnungen zur Rechenmaschine LH 42, 5 # Folio 68v, page id 00051018:0136 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 67r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00051018&page=136 # Source image: https://digitale-sammlungen.gwlb.de/content/00051018/jpgs/default/00000136.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 25, 2026-08-02T22:37:17Z — 58 lines, status machine # Lines: 58 recognised, mean confidence 0.97 # 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. sive supponantur Perlicentur jam, Rotaoe Multiplicandae Rotis Addinonis ant ultima ultimae, penultima penultimae, antepenultima integenultimae, seu seu 5. et 1. item 6. et 10. item 3. et 100 respondeant. In ipsa autem listula Addi tionis numerus positus, per foraminula eminens sit 0. 0. 0. ete seu nil nisi dero Hac applicatione facta, si 365. multiplicari supponan tur per unitatem, ciruumagantur Rotae: 3. 6. 5. seme etdentes earum nunc eminentes totidem dentes immobiles in Rotis 100. 10. 1. circumagent, proinde, numerus 365. trans feretur in Cistulam additionis. Ad ponatur Numerus 365. multiplicandus per Sumerum quemcunque 124) multiplicantem. Opus nunc est tertio Rota- rum genere seu Potis Multiplicantibus. Hae Rotae sunto novem. Et ut Rotae multiplicande sunt variabites ita ut eadem diverso tempore modo unitatem modo novenarium repraesentare possit, prout plures pauciorés ve dentes eminen; a contra Rotae multislicantes sunt ad certam cyphram deter- hinatae, alia ad novenarium, aliae ad unitatem etc. Hoc itafiet. Rota quaelibet Multiplicans cum trocdlea uadam exigua, quae Rotae multiplicandae ad multiplicantem espondenti implantata est, chorda quadam aut catena communicet. Quo facto rota multislicans tot cyphras re- ansentabit, quot vicibus trochleam respomentem continet. totias enim continet Trochleam circumagit, ipsa licet circumecta tantum semel. Unde si Rotae diameter uater Pamerrum rochlea contineat, tota restraesentabit 4. Hinc circumacta semel rota multiplicante, cui espondet Trochlea quantam ejus partem continens, Troch- id interea quater circumagetur et cum ea rota quoque multiplicanda cui drochlea implantata est Rota autem multiplicanda quater circumacta, ejus dentes quoque quater s eotam additionis respondentem redibunt ac pro inde numerqs unidatum ejus toties incistula additionis repetetur Exemplo proposito res clarissime apparebit: 365. multiplicanda sunt per 124. ac primum totum 365. multiplicandium est sprimum per 4. Circumagatur munu semel rota multiplicans 4. eodemque tempore circumagetur rohe quoque 5. cui ea trochlea implantata est, quater quater soplicat circumagetur. Cumque pota 5. dentes quogeminentes abeat 5. Qualibet circumactione dentes quoque 5 otae additionis respondentis 1. circumaget, atque proinde dnes incistula Additionis Unitates quoque producet quater quinque seu 20 unitates, Rota Multiplicanda 6. Teta multiplicandae F. alia chorda sive catena connexa est, et rota multiplicanda 3, rotae multiplicandae 6. Ergo cum sint aequales, quando pata S. circumagetur quater eodem tempore Rota 6. equater circumacta dabit 24. decades inipingit enim in rotam additionis decadicam 10) Et Rota 3. infingens in rotam additionis 100) centurias duodecno, producerurque in summa 1460 (ungautem cirnimacta circumagentur omne quia aequales chordisque connexae sunt ut clarius infra patebit