# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068071:0021 # Permalink to this reading: https://leibnizlegible.com/page/00068071:0021?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 26 # Folio 11r, page id 00068071:0021 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 12v); this page is its right half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068071&page=21 # Source image: https://digitale-sammlungen.gwlb.de/content/00068071/jpgs/default/00000021.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 80 lines, status machine # Lines: 80 recognised, mean confidence 0.89 # 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. labula c +18. 3. 11 3. 16, 3.1593 18, 3. 17 3. 16, 4. 152 8, 3. 17,+. 16,2. 13a3 +18, 3. 17, 4. 164. 14 18, 4 17, 2 16, 3dr3 +18,7. 172. 64Y. 1832 +18, 4 12 + 16, 1. 144 3 = 184.4. 6 +. Notati utam dignum est Postremo eadem lethodus adhiberi porerit, s pro X, X, X X) ubique adhiberentur X X X etc. vel Meinter Nne A qua seu XX, X Nam si quaeresetur orXt RRXEXaX summationem desideraret, Poterit perib inde fieri assumi erunt ermini coincidentiandi Nam si verbigratia a SD summationem desideraret posito Nam si verbi gratia dx VD: X summationem desideraret inventis jam valoribus ipsorum 30, 31, 32, etc facile habentur valores ipsorum 40, 41, 42, et S hoc modo ( F(031 2(11) 30 + (10βY 41 - (22). 30+ (2]) 31 -40 = 111. 30+ 110. 31 = 41 = 122. 30 + 121. 31+120.32 =42 = 133, 30+132. 31 + 131. 32 +130.33 Et ita porroitiende ex inventis, epsis 30 31, 32, etc. ipsas 40, 41, 42, etc. haberi est manifestum 9418217464 =3 ubi numeri sub liners erantes, tantum ad formandas notas numerorum Sinistras adhibiti sunt habendi pro Numerum hanum ranspositionum sic permissarum semper esse progre sunt Gometri progressionis Geometricae duplae, si non omittantur quae evanescunt ob descensum notae dextrae infra o. Sed et in ipso Numeraton ordinato qmd secundum Multiplicatores ut la ejusdem notae dextrae (velut in 30 secundum Termini demto 147, 146, 141, 142, 143 primo habent numerum nembrorum progressione Nec inutile erit Geometrica crescentem. e diversas ejusdem crdinati Name ratoris ordinatione conferre interse. Ita in 31 ordinando stat numerator ut scripsimus, o sed ordinando vero secundum 161, 162, et fiet vel sccundum 172, 173 et, vel se- +153-1rt. 18G. 174. 253 10) ABLA F104. 174. 153. 161- 183. 174. 153. 162- 184. 172. 153. 163- 184. 174.190 162. 183. 173. 153.. +8 17 151. cundum 183, 184 a fiet +184. 169157: 172183. 1lg. VI. 12284, 161. 50. 174 184. 169. 157... +183. 165. 153. 41931 6 15.- llu sub, vel 100 179 164. 151183 - 174. 169: 150. 8 =174. 1∞ 152, +17g. 167.152. 174. 162. 153 .. 4+174. 161 - 83- ubi dedinando secundum 150 173. 163107. - - 172. 163.i est primariam ordi nationem, sesccundum vel tv secundum 18.) patet in ultimis terminis aliquid deesse, et in primo dia adrationis Terminocultimo ordi nationis primariae 1y secundum ibo De153, secundum 17. deest 152, secundum 180, det s 151. Similiter subordinando secundum 60 post primariam ordinationem (factam secut in Termino 7 vel 1 secundum 18 ultimo ordinationis prmane secundum 17 deest 163 secundum 180, deest 162. Et subordinando selundum VI post primariam ordinationem (factam secundum 60 vel se- cundum 1B.) in Termino ultimo ordinationis secundum 150 de est 171 et dest secundum 16, dequesC; setundum 180 iAdem 171