# Leibniz Legible — https://leibnizlegible.com # Page: https://leibnizlegible.com/page/00068124:0172 # Permalink to this reading: https://leibnizlegible.com/page/00068124:0172?run=73 # Title: Leibniz-Handschriften zur Mathematik LH 35, 8, 30 # Folio 86v, page id 00068124:0172 # Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 85r); this page is its left half. # Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068124&page=172 # Source image: https://digitale-sammlungen.gwlb.de/content/00068124/jpgs/default/00000172.jpg # Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 57 lines, status machine # Lines: 57 recognised, mean confidence 0.79 # 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. aequato succossivo, et indo in pimo casu n = 0, a = 2, B = 0, et im 2d0 n = 2, a = 0 et B = 1. C) hunc. a+ sit in ermno casu 0, in 2 - 1. Undo vd0, et a2 ot var isunt act 0; quam allum duae 80 X- a + B n Rosoevonda joro y et ii scryplae produrunt aa +02 - dd +d2; et lere aa et modd in quilus indoae digni tatis ZDX sou e, posili aequalos mihilo dant a = d. Undo pumy souoi lor9 a 2 oradit Oporao Da P20 tous roequas parre p, et hobis aequaoem y = d + p, et jed osse B081) i - p. qui va Coros. in Rosglvenda pro qot it substituli dant Rosolvanda nova 2d p + pp - 2Z io + d Z = 0. ver V ot je viros subount ipsam yul y. Tory uny en quo nor p noq i roppduls D d2 que cy toro Se = collatus dat X = 1. Ssip idlquis 2d p. pp et - ZZ pond p casu Robio p = 0, a = 1, et B = 0; in 2d n = 0, = 2d, B = 0; et in tortio a = 2, a = 0, ∞f = 1. et hunc X - a + B + obedit in erimo rasu 1, in 2d L, n Crtio 0. ando v81. et a2 vra2- sunt a2ot a Tou duo ullimi ar et a in Rosolvenda pro qu et je resportioo sorpui, producant 2d a 2 + a 2- a 2e Ad2. et lori 2d a2 ot d = in quibus indox dignitatis 2D2 ou 1, positi aqualos nihieo dant a - - undo a 22 brus primus sorvi V sit - = Z s Oporao lortia. Pro torio dequis nondus invontit pond 4 et hobis aequaem p = = = Z + 4. et ando (hor Broci) jo = - = 4: qui valoros puro p et p. in tosolvonda novissima substituri producunt Rosolvonda nova 2d9 -24 + 44 = 7 2Z = ZZ9 = 9. vli qet a viros supplont ipsory y et i. Tory unreu in quo noque quo q rporilh D Z2, que cy LZ collals dat 2 = 2. Cons roliquis 2d4, -24. + 42. pone l2 a’ il aquaton surossid; ot indo in crimo rasu hobjs n = 0, -168 0 200 p = 1, ∞ =1, B=0; in tortio p = 0, a = 2, f = 0; in A = 2, ∞ = 0, B = 1: o indo q- u t a+ ovadit Teruno casu 2 in E 310 et 4 1. Et hunc V D2, V a2 v. va Z sunt a2 et 2a2: qui quo valores. in Rhosocvonda q et a gabsiituli dant Ld a= a7 + aa 2 +2Z- 2a2; ot lri 2d a22 + 4Z. Z in quibu judore dignitatis Z 7 son 2 quositi aqualos dant a =- undo a 2 129 primus souvi 4 ouadit - sovidi Ooporaca sta Aro aeliquis, tous du mogulis pond r. 3t hobis aquas 67 2 +Y, ot , et vis q es indd Rosoevondam nova 2dr + 27 +Zr + 324 - 322Y + YY - 2E1- 1630 et ea se mothodi suporcone hotrs p 64dd 8 C iqus radioe actrahonda y = d + p = d = = 2 + a = d = = 2 - 2 2 2 + r = d 17. c et oporaoem quinnando prodaon ecot raduo ad tores peuros. - Et dado mothodo diit nontons raduos aequaoy, Pluacones Edas, vrtras, alas Cii ii i aerasque involvontuu rovosunt. antrahi possd GfS uti 3 2odiy ontractionibus ubi aliae mothodi mtrena in epese craeducta anni 1byb docet, qd, in soluliono problomati de tangontibus invorsory casu aliqui dants in quibus hac mothodus grabs non coquunlz: Peticulantor si m vrcangneo redangulo qd ab ordmata tangonte, et intogarents plo alsussae consuturts, adeae duory quony ebot ealoubus trien e aquaom quivis dofrats; Rrobloma absque mothodo hacee grali solvi pollont. mothodi (a hae oos lplculares qui grales collocti sumplae, solulione 2da pis prollomalis qd nontons suae milio grius opistoere. sus vorbis proposint. Pata aequao quotrunque flnontas quantitatae ivolvento flaxionos invono et vico vorsa. Nam tola bluocionus mothodus in hujus diro et à et invensa solulione osistit.Gun morhodo assunsD A Mothodus dicali Lorbrutii utraque antiquor illa qua 2Is Barroro in Lortionibus Goomotum exposint, aguitz D Aelis Loipsiris (auno ibysi monso sau) a quoda qui mothodus adhibot Bibncti sunulo. dqu adtut onulus B suporeod doi 8 formulam Analssont brverum et comnodorum adaptatio ceml tevors funid. 4d