# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0413 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0413?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 207r, page id 00068195:0413 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 206v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=413 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000413.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 111 lines, status machine # Lines: 111 recognised, mean confidence 0.83 # 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. Jam tentemus hoc quoque summare: tote 96. 6 10 15 21 28 36 45 8 10 11. e 19 26 34 6 B. de Residuo a teulenti dutiso) 10 16 23 10 11 Quadians foc non aeque facile alia remratione na 3bV+ Na 12 4 (2axq ua 1 40 aggrediamur. Ajo in summari posse aau nat a 24v hanc seriem: ratic. e 5 1 e 7 25 1 20 27 35 et 91 11 H = 121 Es 3. 14 a + 14B 40 B 8.6g Rsto agb- naa +b, a ib Ex his exemplis muni di colligo Theorema maximi momenti ad . Achalysun et omnem men asilsmetiet chanino Arithmeticam Guometriam. Radices quadratas dinsivicem addere (subtiotuas addantur quadrata Ergo si simmari posset siquens, hublemosummus etci ploducdum dupolicetu 2 18 25 8 9 33 10 42 1 12 18 25 33 4V 8 9 10 2 2. facile summaremus. serem est 34 58-64 + 22-4. A a + b + ab 2 2 5 2 etc. it patet nums ogressionis Geo Si esset 2 10 3 7 3669 n L 12 10 5i 9 10 11) 12 4 Quam ita summabimus: 6 8. 2 4 B 20 64 10 10 12 64 100 2. Ergo summa: 4: 36. 64. 100 Eodem modo altrum 8. 7 aen prodrctum productum pu ab + Ba ed= Aq excedet a tnaxa Haec aequatio non vadralum differentiae. nisi arste nostra a surdis in garipotest. Ecce metlodi generalem purgandi omnem aequationem a numdrs urdis terro u Non ae crrvi sei nuluus es Cum in nnfinilum facta supponatur subdiorsio uit refert 48 pro 49. disfe Eunt enim non nis puncto, id est nihilo 35 Eetas -2 5. 16 Fi 3381. hoc verum sgon est, nisi quando pedices sunt rationem reperire. Quadcancius ad fa ut circuli quadraturam. Nota isti Numeri differenta autem inter praecetentem e hanc 13. 14. 48t. 49. ete sigrifrcant lineas. Et ex. dias quod ad usum calculi. Si quis ergo reperta est Hemusphaerii ad Xa. haberemus in 14 pa 4. significat lincams estnumerus Alia focu transpositio potest hoc medo: stantum opus est reperiri methonu ista summandi: Ra 1B, 49- 36- 13 R4 24 33 R44 R45 Rq 10 12 100 12 Qui rationem summandi eg 4g repecerit, universalem is nobis uadraturam (irculi exhibuent