# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/3426/text
# Catalogue record: 3426 — Leibniz an Vitale Giordani
# Incipit: Gratias Tibi maximas Clarissime Domine pro novo munere ago, quod in it
# Date: 1689-11
# Sender: Leibniz — Addressee: Giordani
# Akademie-Ausgabe: AA III,4 N. 218
# Other printings: Gerhardt: Mathematische Schriften, Bd. 1-7, 1849-1863, 1 S.199-200.
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=3426&katnr=45650
# AA III,4: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# Work: https://leibnizlegible.com/work/DE-611-HS-974807
# Title: LBr. 452
# Folios: Bl. 3–4 (from the shelfmark LBr 452 Bl. 3-4): 4 pages, canvases 5–8, page ids DE-611-HS-974807:0005 to DE-611-HS-974807:0008
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-974807&page=5
# Lines: 209 recognised on 4 of 4 pages, mean confidence 0.66
# 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 3r — DE-611-HS-974807:0005
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-974807/jpgs/default/00000005.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 243, 2026-09-10T12:26:33Z — 25 lines, status machine
ratias
Tibi maximus Clarissime
domine pro novo munere ago, quod
in itinere jucundam lectu materiam suppe–
Facerem 
ditabit. doem coram quod per
schedam nunc exequor, nisi essem occupatior
quam ut revisere ad TE facile possim.
aeterum nonisego sum qui mea velut
ex tripode dicta statim recipi velim; et ingenutater
eorum inprimis amo, qui non diffitentur se utiliter
admonitos. Itaque quod contra meam resta
definitionem objicis dignum consideratu agnosco.
utrum scilicet in eo peccet, quod plani et solidi
notiones supponit,; an potius vel ideo laudem
moreatur. Quod tibi porro examinandum relinquo
exactius, antequam dicamus tecum currum
esse positum ante boves. Erit enim qui
priorem esse
arbitretur corporis notionem, notione superficier
et lineae, tanquam corporis terminorum nec
per se subsistentium. et has corporis sectione
cognosci. Quod initio assumo interminatum vel ita
ut termini ejus non considerentur. rim
ita ut ipsa sectio det terminos. Prima autem

## Folio 3v — DE-611-HS-974807:0006
# Scan: 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.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-974807/jpgs/default/00000006.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 244, 2026-09-10T12:31:57Z — 27 lines, status machine
ut simplicissima corporis sectio est in partes
b
sibi respondentes congruas, seu ita ut secans ad
utramque secti partem habeat eodem modo. et haec
fit per planum Et prima rursus plani sectio eodem
modo fit per rectam nec (quantum ego video,
nisi per rectam
Habemus ergo plani
et rectae onginem simplicissimam secundum
nunc considerandi modum qui sane novus
apud ingenuos aliquem applansum sperare
poterat
Nec ideo altos considerandi
modos improbo,(quales et ipse habeo,
dummodo par claritas obtineatur, quam
in Euclidea nondum hactenus agnoveramus.
nterim quacunque demum utamur notione
rectae, eam influere ut ita dicam, oportet,
in theoremata quae de recta demonstrare
volumus, alioqui ignotum est, utrum ea quae
demonstramus ad eam rem pertineant,
cujus data est definitio. Idque in illis
demonstrationibus Euclideorum Axiomatum
quos a proclo et Clavio mutuatus
C
desiderare me jam inurii et si hocin responsione
tua praeterieris. quomodo enim ex iis sciemus

## Folio 4r — DE-611-HS-974807:0007
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 3v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-974807/jpgs/default/00000007.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 244, 2026-09-10T12:31:57Z — 29 lines, status machine
pertinere ad lineam brevissimam inter
ua puncta extrema.
Caeterum
cum propositum esset in Euclide tuo omnia
qua licet exacte amonstrare, fortasse
non diffiteberis rectius suppleri casus qui
ad perfectionem demon strationis desiderantur
quod tironibus opinor ppaejudicium facere
non poterat.
Neque quisqquam unquam
tam bene subductis ratio nibus litrum scripsit
quin aliqua hujusmodi ad monitivuum materia
supersit, quas sine retoimento existimationis
agnoscere possumus. Et licet pags. 23 duae
est a BA B C. concurrant in puncto  vel C
hoc nihil prohibet quia ad huc saepius concurrant
aique adeo ut coincidant E et F. Non igitur suppo
nitur (quod ais) esse tantum concurrentes in D
sed nolo te his tenere diutius, voluique tantum
respondere ne me putes quadam contradicendi
libidine temerarias objectiones festinass
Nam diu desideravi exactas videre
axiomatum istorum demonstrationes
quomam sci ebam magni referre ad perfectione
Geometriae, itaque dubitationes meas  ve
ideb tibi proponere volebam ut Te quem
parem superandae dificultati putalam ad
upplenda quae desunt, excitarem. Vale
et me aina

## Folio 4v — DE-611-HS-974807:0008
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-974807/jpgs/default/00000008.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 244, 2026-09-10T12:31:57Z — 128 lines, status machine
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