# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068255:0173 # Permalink to this reading: https://leibnizlegible.com/page/00068255:0173?run=74 # Title: Leibniz-Handschriften zur Mathematik LH 35, 3 B 5 # Folio 87r, page id 00068255:0173 # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068255&page=173 # Source image: https://digitale-sammlungen.gwlb.de/content/00068255/jpgs/default/00000173.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 173 lines, status machine # Lines: 173 recognised, mean confidence 0.63 # 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. e in Dyadicis a+b ∞ atb 2ab est autem a- in dyadicis a +b mini significat notam quae ex notis a et b in unum additis in eadem columna prodit. ex. gr. si a sit 0 et b sit 0, erit a +b =0 si a sit 0 et b sit, vel contra erit a + b = 1 si a sit + et b sit 1 erit a + b = 0, nam a + b est 10, ubi 1. transfertur in columnam sequentem Him arb = arb 2a Hinc a + b = atb + 2ab. nam si a vel b est o, erit rab =0, sin Utrumque sit. 1 erit 2 ab = 2 C b a e -2b ab pra a perabm + bra cb a ue n a sit a = ob 6 i omim sit a = 1aD et b = BOV b = 10212 C = 10+14 m = B OeI n = 80414 10+0 os 120 0t0 0+0 0+ 1 140 140 070 040 0+D 04 1 ((01) 460) 4)4 1+ 4I 0 L i itaque atleut per sel (01) 1610)1) 1 quat ad. Pm l b aub=Ha ab a+b 0750 2+ 0510110) -1. l + 1 8 Si comnbines a+, et b +M, debel fieri) lit Sinati conbines lum etn 18 0+1 + 1 +a ut 1040 aa +bb ph2 = 40+ 1 - 1 b+ m = 0550 = 0+0 = 8 + BInor a + l = 8 C o an dobelfieri ant= arl= Hinc si sit a+b = a+b- 2ab a+ b- ojo C cum b+m (∞1) 2 (10)2) t 071 0a1 gr 0+0 040 o+e cum etn, (e1 X (10) 4) 4 +0 14 141 141 pua ro cotrio 1+v ilia 1t1 10 fonguno ll+1. 101 generulter (01p (10) 22) 2C) b+ n si combines cum d Ap fid (0213) + (12039 4 b a m l ∞5 ei2 QF C vF Cum etn, ((02124 6202)2) cum dip (0212ciog E doctu d o e erc 2q t +LX e s c al -- 7. 7 E OrC2. 0 et 1F = Z ∞ X qic. E P dut d + 6 t L= D DE Ex ut e s e x e C Li 2e ∞ Ce a F se 16 12 ab 4 1a .2a Euso siq addem p C e e F a 8 et C 22 d d it cum ctn fiet btm si combines oppo od 1(21d oi Ili 1 b1 b15 soeni 1 bis ((o21214 (1201) 4)2 6it d bis b. itaque bem erit per se ((o212) 2 (1202)2) . at 4 e L e E e 15 8 e E - X. l7 8