# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/DE-611-HS-861255:0042 # Permalink to this reading: https://leibnizlegible.com/page/DE-611-HS-861255:0042?run=74 # Title: LBr. 705 · Overbeck # Folio 21v, page id DE-611-HS-861255:0042 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 22r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=42 # Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000042.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine # Lines: 59 recognised, mean confidence 0.91 # 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. Ex his video erui posse multa quae totam Analysiu perficerent si movo satis essem ab ingenio instructus ad ea rimanda. Ea igitur qua vitendi de Analysi Dgaduo dicenda quoque videntur de Decadica ut non minus hic urgere oporteat Locum 44. vel 58. Locg 5. dat 3984. Ejus Quadratum 15872256600 divisu dat Residuum 211I pro Loco 11. Ejus Quadratum 4456321 similiter divisum dat. Residuum 3579 pro Loco 22). Ejus Quadratum 12809241 similiter divisum dat Residuum 3107 pro Loco (44) Hbugus Qvadratum 9653449 similiter divisum, dut Residuum pro Loco 3841. Ergo adhuc parum spei niso loco 176 vel 352 melior luxoriatur evadratum ex 384c est 14753281 Ejus Resiouum est 2823 pr0 Loco 176 Ejus Quadr. 7969329 Ibi demumResiduum Unitatis se prodit, atque achus salva res est pro Loco 352 Nam continuad erit Loco 704 etia Unitas ut a Lous 1408, 2816 5632. Huic si addas 352 etira Unitas Residuum enis pro Loco 5984. quod erat desideratum. Valet ergo totum non secus in Decadica quam in dgadica Analysi. desi una Analysis Residuam Unitatem citius ex hibeat. Omnium horum autem Demonstratio adhuc ignoratar. Vidi quoque in Dgacica Analysi si quovis sub Exronente sit Residuum +1. sab Expone te dimidio sem per dari Radicem ejus +1 vel: At in Decadica Analysi oltud non sem per suc, cedit in Numeris ompositis Nam Locus 257 dedit Residuum +1. sed dimidius 176. longe aliam habuit Radicem scil 3823, qua tamen Radix ad Cgilui 6001. omnino etia Racix Unitatis habenda est, quia quadratum ejus demto 6001 quoties potest, aequatur Unitati. Quo parto + 1. adhuc alias Radices in Cyilo Composito agnoscet qua +1. vel - 2, cum in Cyclo primitivo alias Radices non agnoscat Doceri itaque optem annon detur Methodus, aliquid G certi de Radicibus Residui dabi statuendi, foret enim regressus multo perfectior non modo per dimidiationes seo etiam per subtriplationes subquintaplationes et in Analysi Numeri dati. Ita si 6001. esset primus Loco 6000 oporteret esse Residuum Unitatis. Ergus si Ra dicem surctesolidam nossem, statim ad Locum 1200 calculum ceprimere sic porro. Imo plura alia se pau derent, si tam expeditus duretur transitus ad subm ultiplicia qua ad multiplicia. Si enim semel novi dato loco 35Z Lasse Resionum Unitatis consequens statim erit Loco quovis qui spiesius 352 mulliplex iterum Residuum esse unitateum i2 i de B 18