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# Page: https://leibnizlegible.com/page/DE-611-HS-861255:0088
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# Title: LBr. 705 · Overbeck
# Folio 44v, page id DE-611-HS-861255:0088
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 43r); this page is its left half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-861255&page=88
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-861255/jpgs/default/00000088.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 31 lines, status machine
# Lines: 31 recognised, mean confidence 0.95
# 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.

Vir clarissime, Amice Honortassime
Multum profecto landemnest non tantum industria tua, sed et penetrandi
vis et a) Kirola: nec dubito quin paulatim Tua ope accuratam constitutionem perodorum
neq altsius tendit divphantus)
Calumniaa columnarium saltem pro cubis et biquadratis habituri sumus, ut revera pro quadratis
quodammodo jam habemus. Nam lex illa inplex efficit in quadratis efficit ut ple habea mus aequa
tiones quam incognitas. Ex. gr. in columna quipus quinte penous est sedeci quadratorum
perious est 16 notarum. Bince autem eges praetent aequationes 14. jam vero ex 16 notis primae
quataot ate sunt. nim O. Ergo habemus tantum 12 incogutas, aequationes autem  14 seu plures
sunt cognitae gvia sunt
quam est opus.
Optandum est posse per Moditationes periodorum perveniri ad factores numerorum. Et quide
eriodi
fortasse eo perveniri posset, si datur methodus perioem inveriendit magnitudinem inveniendi
absque cognitione factorum.
Interim meh venit mitica mentem alia ab his plane diversa
Methodus pervenendi ad factores. Quam in scheda adjecta notavi, et Tuo judicio committi pendet
a singulari usu Logarithmorum combinato cum nostra Rieadicatione- circa quam
fortesse utiliter considerabitur diversa quam in schedu notavi Aizadicandi methodus une
per quotientes, altera residuos, et nitatu valde diusmum est quod in rahadica
rhizadicando quo tentes sunt disferentiae vi residncrum proximorum
4 Analysis pus 
plus utiue habet in rocessu quam prime fionte
promissit. Sed omnia simul agi non possunt.
E dolendum estnimis distineri minutis
quae multialii possunt, et iu fortasse
ei malo fortasse aliquando
remedium dabitur Quod
superest valc et me
ama. daba Hanive
10 Decemtr. V715