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# Title: Aufzeichnungen von Leibniz zur Rechenmaschine (shelfmark LH XLII,5)
# Folio [16]r, page id 00066559:0033
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00066559&page=33
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 25, 2026-08-02T22:37:17Z — 188 lines, status machine
# Lines: 188 recognised, mean confidence 0.78
# 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.
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# After the first blank line: the recognised lines in reading order, one per line.

quadratu drperentia
quad rabor
seu numgor imparau diffcunt
per 8 austs differemtus
v.)
ebledum uno actu si commodum esse video; qquaedimplica
pro 2. Octu plicare pro 3. sedecuplare pro 4
operationibus una vice addendo tantum
amilitu pro quadu plicaoe 1+2 pro octu
plicave 12. Ab +1 seui . pro octu sedecum
plicuive 3 15. Et ita semper 1. minus
mumero exponentis. In culos simile compendium
quaerendio statim inqualibet parte
duum ninirium addantur plures vrdices
iffrae ducantur in se quadrutor du ut hie
in quadrato, ducantur se detrahuntur ab is
radices simul additae, et quadrata smml
addita, in quibus semel pro semper in
vepigandis fucile etium opinor open–
diu haveri haberi pt. siuo male
nec cncepi .R ecsius sic pro multis
operavibus simu effrcvendis in radiae qua
diata addantu mumeri impares plu–
res denceps a prima diffra summa
erit diffa ras quadrati ultimi a primo
compendium idem est, quod vulgo in progressio
ne anthmetica, quae hic oju obtrigest
mo sufficit sine labore habere u trmia
penultimi diffram, ita habere satim
possum radire ultima et penultiulam imo
ea
ina
quia
radici quadratum
sero raditem ejus, tot enim prime addem
dae Emitates.  Adde Transact 4b. n. 6
de (ubo ecce novum cregans copendrum
mul hplicet radix inbica per b. productum
esit diffia c differentiae seu excessus quo
diffra inter cubur datu X sequentem
vincit diffram inter datum et praecedente
v. 8. diffrae cubox 1.
32 3 4
sed quod indemeq eb
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cubiiffra a sequeare quaeritu, et dvebiri
ima fic mirabuli rave ignotatis
lubis cognitis tantum radicibus diffua investagari pt
viuxar
v.g. quaerenda est diffra intir cnbu a 3. et cudi detane quot sunt diffrae seu intervallum
intermedia, v. g. h. 1. 3. tot retinco terrmimes progiessionis geometriae sextuptae ad numgum radice
minorem propagatae uttrimos, quos m tplico com exponentes progressionusgeu
nmtima pintat
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geometricae sextuptae
exponente indem unit
inte minore, quam est
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pendio. Ineati vimma prigressionis un
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edo addeli munigus ladicis 
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summa diffrars seu ipse cubus. Atu haec est had compulandi sumunt dffrar sinter duoc
cubos, quor primu est unitas seu ipsum altimum cubum quando vero primus non est umtas, sed