# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068133:0011 # Permalink to this reading: https://leibnizlegible.com/page/00068133:0011?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 9 # Folio 6r, page id 00068133:0011 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 5v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068133&page=11 # Source image: https://digitale-sammlungen.gwlb.de/content/00068133/jpgs/default/00000011.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 80 lines, status machine # Lines: 80 recognised, mean confidence 0.86 # 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. 6N2: 1 + Z: 15 1. 6525 = - daY = - 1: 4. 125 - 1: 250500 6.2 +15 : 15 f2. 6f 5 = 27: 33 125. 4 = l: 4 125 (6 t2: 15 seu) 2 t2: 3. 25 + (2: 15, +8 seu 2: 15 L 12Seu) 1. 15 : 6525 = - ddr ((652 Feu) 72 (5: 15 seu): 3 seuha: 15 seu) 8: 3. 125 + 2: 15 seu B + 2. 3. 26. f3. 125 seu 158: 3125 - 612 in 212 seu 24: 9. 25 seu 8: 3. 25 2: 15, seu 8+ 10; 3,25 seu : 3. 25: 24. 5 L(6s seu) B2): 3 scu) 24 400 = 19, C 4. 9 125 = 19: 4500 seu l.s: 3. 25. B. B, 5 seu 1: 500 24: 9. 25 seu 525 +24.5 ddr - = 2: 15 seu 8+ e4 524. 3 125 seu seu 8 24 1+ seu 24 + 24.915 ddr - - 2. 30. seu 4eFG e 12 + 2,9. 125 ddr- - 5 24: 9025 + 24.5 ddr = - 2: 15 seu 24 + 24.9. 125 - 2. 15. (24 + 30 seu ) 54: 9. 24 125 = - ddr seu 6.9: 9. 6. 4. 125 = C 1: 500 (72: 3 Seu) 24. 925 sex 8: 3. 25 + 2: 35 seu 18: 325 seu 6: 25 = 24. : 100 seu 6. 6: 25 = 4. 6. _: 4. 35 _X7L. _1 (8 - (12. 15: 4. 125 seu) 18) -10 =- 5. 2 t ideo (4 +5 seu) 9: 3. 25s2. in 612 sed 1: 4. 125 = - dar seu ddr = - 1: 500 150 24 8. 1 +9. 125 11R6 8903 1+ 9. 125 134 A compositio circulavis in ratione distantiamm a quodam centro, cum impelu projectionis angulus LGC rectus. Angulus L GrG ordinanus angulus, equi scil est perpendicularis radii ad perpend curvo angulus autam k.G2Gest infinite parvu qui duorum curvae langentium. Sed hinc oritur absurdum. Nam cum rectae sk gL 1G.L habea sint comparabilles. eaque adeoque et recta Gk et YGK, ergo et subtens 0G agulum ad k doluso erit et sublens .1G2G quae et agisi alterulta, et minor utraque simul et 152G se biserant in M Unde na lacta re2G1 Nam recta Kit bisecatiae a recta Gun M ut et recta 1G2G in M jam KM subtensa angulo insint infimle parvo3 laterm comparabilium est cops incosparabiliter parvn, et Mit, sublensa angulo sidmario acompasabilum est conparabilis. Ergo Mparabilis KM, X ngparab ilis LM aequales uod absurdum. Eriso GiL debeat esse incomparabilis ipsi GiL, sclicet it circulationis novae pars maxima se inest circulationi proxime praecedenti, nec proinde nisi pars quatanda inficle parva, seu mererentum vel daecrementum crcuationis compatari debet Est et alia consideratio subtilis quomodo cirmentio simul et gra vitatis sil solicitatio ariori impetui componi possint. Sed videm si quo addatur praeter gravitatis solicitation non posseobteneri proporli ut cllae sut temporibus proportionales 2g si impelus pricv oG1G crvetur, et seu 1G1kS ei accedat impetus novu ompos sit 1G2Gja differentur arearum tiangula. CoGiG, Ci92G differentia differepliarum. sunt, ut quadrata CiG. Curo et taream G(quae sunt 00 circulationis icet ho fer hoc est (hoc es vilis, impetur ogius, C 1G 2G triangulorm C inter triansula C0G1G, et C1G. uod a tiangulo C.1G2G nulla quantitate ipsis compara am CIKZG. non diffecentiam esse C1K2G, (quia C. GIk = C0G1G. sae areurum differenteae differunt rursus inansulis comparabiliter a CiGiL itaqu t aqualilus temqoru sti aequalibus potitis cempori mererm utis lune duplicata radism