# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00067993:0234 # Permalink to this reading: https://leibnizlegible.com/page/00067993:0234?run=39 # Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1 # Folio 117v, page id 00067993:0234 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 116r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=234 # Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000234.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 65 lines, status machine # Lines: 65 recognised, mean confidence 0.80 # 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 hinc quanum Ex his facile quivis jadicare poterit in praxi, quam regulam, aut quae esu pro a itudme quam desidera eimo catus ubi aut labore quem onpendere paratus ecte si argatusratio angens s prope aequali adhibita erroneicaleuci radio, semper opus est quadrisectionemianguli, seu repetita bissectione, tunc minuti puo posteriore per priorim quidem regulam erjor orit minor quamoduodectur secundorum; per rennea erex posteriorem vero minor quam manti secundi parsatrigesima. Quod cum in difficillimor2430 plicandusncasu contingat, ubi erroi est maximus, judicari potest, quantulus in aliis futurus Ac. et erur. Sitangens BC, sit Z AB. tunc sola bisectione anguli adhibita, secundum priore secundi cum triente. seu i sec. si vero un tangnns sit BC. sit circiter nujus AB, tunc sola bisectione ad lubita per priorem quidem regulam error erit ut circiler dimidii minuti. per posteriorem vero nondum dimidii secundi ea s tangens sit minor AB; tunc sine ulla bisectione facta, orpperipriorem quidem regulam error ert minor 2E minnistia per posteriorem vero minor quam 1 secundi. Ti adhibita autem bise ctione per priorem quidem regulam error erit innorojam decima pars minuti; per posteriorem vero erit e u minu minuto tertio. Si tangens be sit minir quam AB, tunc sine alla bsectione eror eit erit circiter 2 minuti; per priorem regulam, errorq erit circiter E minuti per posteriorem vero orit minor qram quarta parta minuti. Unde ad sequentia nulla amplius bisectione opus esse patet; et siquidem B(sit minor quam AB, tuns priore m nnon sit mnulco minor. quare ut omnia in unum colligamus. Siquidem erter Tangens BC sit major quam ses prist autem cum bilesctione. Si tngens BC sit minot quam ut AB tuuc etiam posterior sufficir suie bisectione. Varia mutem cmpendius prexis ipsa dolebit Contra pro inventioneiur laterum exdatis angulis eta nnos la tex geminas alias regulas, non minuis faciles habeo, quas alias explicabo. 628318 129600 100000 39L4 0. d 6+3 6283 18 1 alias opus est grudrisectione anguli; si tangens sit minor dimidea AB, sufficit bisectio si tangens sit iminor equam AB, tunc regula posterior sufficit sine ulla unguli sectione. 1296007 AesA minor degula error erit mino quam nun circiter quintae partis minuti, ac proinde ple in plerisque casibus sequentibus reguta prior sufficiet. _ AB 60 62031B 255 1 100000 1 59552 3. +40 c c+73, 1 20 68l45002605 PX 6616 s 18E5R 1t 43= simper deca 8300 1I 1050d0 17 628 e246 es 1 690000 25 )100000 29606 7, tol. 000 831. et