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# Piece: https://leibnizlegible.com/api/records/39664/text
# Catalogue record: 39664 — Leibniz an Oldenburg
# Incipit: Distuli scribere de die in diem,
# Date: 1675-03
# Sender: Leibniz — Addressee: Oldenburg
# Akademie-Ausgabe: AA III,1 N. 046
# Other printings: -Gerhardt: Mathematische Schriften, Bd. 1-7, 1849-1863, 1 S.58-60. -CEt, 1856, S. 197-198 (tlw.) -Gerhardt, BriefwMath 1 S.112-113 (tlw.) -s.a. unter Nr.34261
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=39664&katnr=Cc2+922%2FC
# AA III,1: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# Work: https://leibnizlegible.com/work/DE-611-HS-860722
# Title: LBr. 695 · Oldenburg
# Folios: Bl. 25–26 (from the shelfmark LBr 695 Bl. 25-26): 4 pages, canvases 49–52, page ids DE-611-HS-860722:0049 to DE-611-HS-860722:0052
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-860722&page=49
# Lines: 74 recognised on 2 of 4 pages, mean confidence 0.98
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 25r — DE-611-HS-860722:0049
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 26v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-860722/jpgs/default/00000049.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 41 lines, status machine
arisue ad oldenburrum.
ViK AM et me.
istuli scribere de die in diem, quod rem novam, et mox hic quoque publicandam
TiBi mittere vellem: idque nunc quoque facio, postquam de successu satis securis
Sum: Mitto igitur TBi quam vides descriptionem principii aequalitatis in
Horlogio a me inventofuturae, nihil cum isochronismo vebrantium pendulorum
aut elateriorum commune habentis; quo tamen uno hactems omnes usi sunt
Ipse Hugenius qui nuper ut nosti elegantem illam oscillantis elaterii ad horologia
neam 
applicationem prublicavit: plurimum approbavit, ut novam, et pure mechanicam
et a nullo experimento physico aut demonstratione Geometricapendentem, ut mirum
sit artifices in eam non incidisse dudum. Mlihu certe jam a quadriennio
nota fuit, cujus testes in Germania Gelliaque habeo; sed in controversiam vocat remo
Plerumque ita evenit, ut uno egregio invento publicato, quale Horologii oscillatoris
fuit; aliorum meditationes velut sideratae et in hanc unam defixae, habeant
 aliquid imitationis non facile exuendae: raro animus hac velut prae-
occupatione deposita ad diversum quoddam inveniendi principium attollitur.
inventum ipsum quale sit, ex descriptione et figura judicabis; et si mereri
videbitur Aet Transactionibus tuis inseres. Alii atque alii
hic indies nascuntur, qui Horlogia novis illis Augenianis similia certe
ex eodem primipio pendentia, proferunt. Sed cum ipsa Augenii methodus sit
omnium quas viderim facile simplicissima redo non magnam rationem habitum
Sed ex aliorem principioconfici
iri tot variationum non difficilium
Rerpublice interest et screntiarum, ut alterum alteri testimonium praebeat,
Cum sit praeterea aliquid in met
et aerarium inventionum locupletetur:
peculiare ut scilicet Elateria spissa ac solida (massifs) et quantum libet fortia
impedimetetorum
adhibere liceat, qua ratione fieri potest ut ratio, errorum atque efectum
ad vires,
ex medio et materiae imperfectione orientium, quantumlibet exigua reddi possit:
ut taceam esse qui in dubium revocent isochlronismum vibrationum Elasticarum
mihi tamen persuasum est Hugenium hoc suae constructionit principium
experimentis sufficientibus stabiliisse antequam publicaret, et isochionisuum
si non perfectum saltem usui suffecturum deprehendisse.
Ad literas Tueas venio. Arithmeticam Mlachinam habebitis, cum nihi ad vos excurrere
vacaverit: (neque credo repetita a TE toties promissa mea aliud exigunt:) quod spero,
mature futurum est.
Quod de Quadratura Circuli Arithmetica, per
infinitam seriem numerorum rationalium, valde simplicem; a me inventa monq

## Folio 25v — DE-611-HS-860722:0050
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 26r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-860722/jpgs/default/00000050.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 33 lines, status machine
dac.
cavendum esse a Paralogismo, cum Gregorius vestras minetur demonstrare
percepto promisso
talium impossibilitatem: id c a non satis prespecta senttia meq oriri
Credo
Gregorius enim non hujus quidem Quadraturae Generis, quod Arithme-
ticum appellare soleo, per series numerorum rationalium infinitas; sed exacti
penitus et Geometrici per unum quendam numerum, aut finitam numerorum
seriem, sive illi rationales sive irrationales sint; impossibilitatem a se
demonstratam posse putavit. Quod ineo invento nihil adversatur; tametsi
quod Hugenio id mihi quoque etiam ob rationes Hugeno intactas videatur;
in Gregoriana  demonstratione vitium esse, quanquam alioqui viri
ingenium magni faciam
Mittam TiBi inventum meum satis certe memorabile, quod magnitudinem
Circuli per seriem numerorum rationalium infinitam mire simplicem, exprimit.
si mihi vicissim duo vestratium inventa Geometrica pollicearis, unum Collinii
de quo aliquando mentionem fecisti, de summis serierum numericarum fini–
tarum, quarum termini suit primanorum secundanorum, tertianotum etc
crca
reciproci; alterum regorii  methodum appropinquandi ad veram Circul;
et Hyperbolae magnitudinem per series convergentes, cujus in Apeendieae ad
Exercitationibus Geometricis exempla dedit. Et vero si Collinianum
mihi consensu clarissimi autoris,  phrmam salutem a me dicas rogo,
miseris quamprimum: nam etiam  editum prostat, nisi fallor in libro
quodam Anglico:) Statim transmttam meum et Gregorianum praestolabor
dum TiBi commoditas oblata fuerit obtinendi ab autore; neque enim credo
autem
Condini agit.
Intelliga non inventatantum
sed et demonstrationes mitti debere. Mleum exactissime demonstratum,
 et numeris comprobatum habeo, et visum est ita memorabile insigibus
quibusdam Geometrisa, ut  inventorum Gyelometricorum
hactenus cognitorum apicem appellare non dubitaverint.

## Folio 26r — DE-611-HS-860722:0051
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 25v); this page is its right half.
# No recognised text on this page (recognized).

## Folio 26v — DE-611-HS-860722:0052
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 25r); this page is its left half.
# No recognised text on this page (recognized).