# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068073:0118 # Permalink to this reading: https://leibnizlegible.com/page/00068073:0118?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 7, 1 # Folio 59v, page id 00068073:0118 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 58r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068073&page=118 # Source image: https://digitale-sammlungen.gwlb.de/content/00068073/jpgs/default/00000118.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 109 lines, status machine # Lines: 109 recognised, mean confidence 0.77 # 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. Quacnus fons erroris Fangens sit +. Radius Y. Saequ. Srt vel taeqoss K aequ. seu at aequ serans S. Arcus a. tangens compl. K. arcus aequ. aequ. s- Y. Ergo 24 at aequ. S1 aequ. s et aqu et da aequ. l’as sir Ys-r 2 Satr ogo sa 1+ +0 sds Sis- Ergo a aequ. (5r Quod si jam da aequ. fiet: L aequ. seu laeqo Ss seu s aequ. at supa K aequ. pr., fiet K aequ. s. Est autem hoc jemibr casse Sistro est esse K aequ. arcui. Sed jam deprechendo rationem erroris Nimorum hoc casu cum T est p1 dubito au licent facere t aequs aequa, Rem de integro examinemus, illud demonstratum oliu esse: si in ciculi sit sinus versu complementi v. re arcum aequ o 1+ F d da da aequia. Sev et Saego . Ergo ds aequ. Y d Ergo. (+ v2 quod si qds aequ da fier: 1 - 60 aequ 60 + seu V 4 + 6V aequ. 1. seu at +00 + aego 1+4 seura +1. aequ. s +3 itaque si centriM, radio MNaequ. SL describatur circulus secans radium Cd in N. erit CN 60 quasita porro tangens est Y Y +Y2 aequ Y sqr porro tansens est. seu t+ 1 aequ. V4 s su ovr. seu 60 aequ. et do a ds ov - seu + Sr. vel t aequ= r00 V aequ. ds r + + 1 aequ et r= aequ r7 2 14 Ergo Pr. V aequ. Y Ss= r. Ergo Yd6 aequ ds Y Hr∞ S d ras aequ FSser Sisr sit supra et fiet s. aequ. R. Ergo vel hoc casu non potest esse K aequ a. vel non potest fieri a aqu. ds. ot ersate aqui e Taudem deprehendimus epore qu 2 dt. Et s t aequ L et Sa oq +3 at esA aequi es sat l aequ 7 44. + 5 5 et t. falsum est, esse differen- bi tiam minimam cum ratio minim est potest enim differentia crescere eum ratio imunitur Z 2 3+ +o eae equ. 4- + L eae saqu. aE si tampers prago L- +1 7 6 tae = 2t 5+5 7( Si rago 1. +5 +Z etc aequa si langens 7Y aequ + - b3 + 1- L’eu Ex Sr 7r6 Htins ut obiter notem posita tangente conplemen Hnam calculus habit es complementi + dam B aequ. a aeqo C fiet: a aequ. 8- D +D eic Anergo a Ergo forent aequ s Dagus ingns res se facis net ansio la cist des ilara i e e - et et - l2 3FaI.