Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 6v
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.90.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
One image of two folio pages side by side, registered by the library under both labels (also fol. 4r); this page is its left half.
The machine reads it as
- bb + 8 a b aequ 105 aa. sit brgo ha+ c
- Sthhaa et Byhe a + cC
- + dh aa, + 8c a
- + 105 aa
- -sit aa
- = 8t aa
- debet esse 105p hh + 8 vel 105 p hh + 8.
- rursus sit baeqo ha + a + d fier
- + hh aa + (2hda + dd aequilios a a
- (2)h aa + (2) d a
- + aa + 8 a d
- gh aa
- +e aa
- 105 aa
- 105
- hh
- 105 p hh + 8h seu 105 p h 48
- 105 r hh + 8h + 1 + 8
- 105 - 8196 5 hh + 8h
- hh +Bh 96
- Numerorum autem ab _ 105 inclusive ad 96 exensive, nullus est
- qui sit hh. + 8h praeter ipsum 105, posito h esse . unde CH0
- eganescit ernm terminus ultimus
- hh + 8h. Ex Nimirum ex 105 extrahatur radio
- affecta secundum hh + dh neglecto residuo: is erit quaesitus.
- 105 hh++ ICEC.
- Ergo generaliter si sit aequatio:
- bb + lab aequ in aa
- fiet. et fiat dividatur b per a, erit ut sit h quotiens, C residuu
- fiet. ttr ut lh m tunc hh + Ch cadet intra m et m - l - 1
- five sive faciendo ch + Ih +f aequ m et hhe ls gaequ n
- et f+9 aequ m n.
- in= lant +
- seu hh + Ch aego mf hh + th aequ 1a g fit gppri n
- trb thago maf thh+ th aeqo n. + m. n-f
- sed hoc non determinat rem satiperacte quia inervallua inter
- intervallum in quom consistit h seu itaque h tam habetur
- exacte ut error sit miner unitate. Cumue quotiens
- semper debeat esse numerus integer satis de terminatus est
- si dicatur consistere inter esse radio jaffecta seu pronica extur.
- ex numero inter m et in - l-1 nam in nostro exemplo h
- est 7. ex 105. si sumatur vero 6. sunc cadit infra 96
- fit enim sih + gh aequ. 28
- Et sufficit, dicu data aequatione bb + labrgo maa. fore
- bb + b aequ M. et h quotiens b divisi per a, popim
- rationalis scilicet proximus vero, erit etiam radio aequationis hujus
- aa
- bb +l b aequ m. rationalis prexima vera, ita ut enor
- scilicet sit minor unitase. unde habetur met hodus generalis pro
- aa
- qualibet aequatione reperiendi quotientem seu tih +haego qpemid. n
- haec fonnatio eandem habet formam cum ipsa data
- Ag
- de
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 A 22, fol. 6v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068235:0012?run=74