# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068195:0385 # Permalink to this reading: https://leibnizlegible.com/page/00068195:0385?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 12, 2 # Folio 193r, page id 00068195:0385 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068195&page=385 # Source image: https://digitale-sammlungen.gwlb.de/content/00068195/jpgs/default/00000385.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 28 lines, status machine # Lines: 28 recognised, mean confidence 0.85 # 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. merdit yn sidegatiu duo examinama intidunt magni momenti. Consiperalio magni pum an non ex calculo extractionis ex binario perveniri possit cradique feriem exp dy adicam exprimentem magnitudinum circuli. Nam 12 est latus quadrati inscripte, f2-V2 ortanguli, S2 - 12 + Si 16canguli, esc. itaque hoc series continue ad seen circumferentiam circuli accedet et tandem in eam desinet: 4 fr. 852 - f2 16 F2 - s2 + si) 32 F-S2 + . 4- Y2. (0 seuquadio 4 - ) 8 s2. 16) 16 f - ) 32 F - 1et Itaque generaliter terminus seriei sic exprimipoterit V sit infanita Hive cum in casu ultimi, 3 sit ipsa, circonferentia, tatis istitui potent calculus: porro A2, N2+ 12, Sth+ si 8C continue magis magisquse accedunt ad 2. continnatis autem hujus modi extractionibus videtur ine utique apparitura progressio seriri, itemque differentia a 2, quae tantum multiplicanda per id est merae subjiciendae ciphrae, quoties res calculo ayadico agitur, vel re quaed eodem resit numeri inventi retrahendi in auteriora,, et praeslabit quaereve 92, quadiatum de circumferem in 2- 0 14 tra, ita ultima extractione poterit cureri, et scribetur tantum quaeretur tentum ergo opus contre extrahere radicem ex 12, ex Ts ex, S2+D2F SI, et notare senem, deiu (subtrahere ex P. 1111 11I111 Pet seu ex 10.00000 eseu ex 2. et notare residuorum seriem, trahendo santum in anteriora: Erit autem quadntum Erit autem f2 paulo major quam 36 seu quam vle 00B a 0. 100000 + 100 ser pui 100100, 0000000 1 _C 1 aequ. D.