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# Piece: https://leibnizlegible.com/api/records/28210/text
# Catalogue record: 28210 — Kritisches zu G. F. Vanni, Specimen libri de momentis gravium - Animadversio in Specimen libri de momentis gravium
# Incipit: Objectio viri, ut apparet peringeniosi, contra receptissimum Staticoru
# Date: 1684-09-27
# Sender: Leibniz — Addressee: Mencke, O.
# Akademie-Ausgabe: AA VIII,4 N. 057
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=28210&katnr=41667
# AA VIII,4: its series at Leibniz-Edition Potsdam II (CC BY-NC 4.0): https://leibnizp2.bbaw.de/de/leibniz-online
# In the Akademie-Ausgabe: AA VIII,4 (PDF, Leibniz-Edition Potsdam II, CC BY-NC 4.0): https://leibnizp2.bbaw.de/fileadmin/Webdateien/dateien/LSB_VIII_4.pdf#section.57.1
# Work: https://leibnizlegible.com/work/00068046
# Title: Leibniz-Handschriften zur Mathematik LH 35, 5, 28
# Folios: Bl. 8–9 (from the shelfmark LH 35, 5, 28 Bl. 8-9): 4 pages, canvases 15–18, page ids 00068046:0015 to 00068046:0018
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068046&page=15
# Lines: 80 recognised on 3 of 4 pages, mean confidence 0.97
# 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 8r — 00068046:0015
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 9v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068046/jpgs/default/00000015.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 28 lines, status machine
Objectio viri ut apparet per ingeniosi contra
receptissimum staticorum Theorema de momentos
gravis super plano inclinato, solvi omnino potest.
meretur tamen non contemni, quia ita speciosa est
ut negotium aliis quoque facessere possit. Retenta
ejus figura argumenti vis breviter huc redit: Gravis
momentum super plano inclinato XC est ad momen.
tum gravis absolutum seu perpendiculare ut XN ad
AC, per theorema receptum. Et eodem modo
ejusdem gravis momentum super plano inclinato ZC
erit ad idem momentum absolutum ut ZO ad ZC
seu ad X C quia ZC et XC ponuntur aequales
Ergo summa horum duorum momentorum in planis
clinatis sustentantibus, est ad momentum
absolutum ut X N + ZO ad X C Hactenus
recte. jam vero summa haec aequatur momento
absoluto ut ait autor Ergo XN 4ZO aequa
tur ipsi XC quod est absurdum. Verum
sciendum est causam falsae conclutionis non latere
in theoremate recepto sed in assumto viri doct
Quod nempe duo momenta in planis inclinatis
sustentantibus simul sumta aequentur moenti
absoluto. Id quod illi nulla nulla demonstratio se
probabilis consideratio per suaserat; et frandi fuisse
videtur, quod illa vocavit partialia, hoc totale
cum tamen componantur inter se partialia illa
non conjunctive seu cumulative ut ita dicam
sed disjunctive, quia si conatus in uno plano

## Folio 8v — 00068046:0016
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 9r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068046/jpgs/default/00000016.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 29 lines, status machine
descendendi exitum sortietur cessabit conatus
in altero.
Praeterea (ne dicam nullum facile
repertum iri qui simili argumentatione sit
asus) certe multa falsa hoc modo possent
concludi. Imo quaecunque assignetur regula
pro planis inclinatis ex ea tali modo a
mentaudi absurdum deducam. Et poterit
trave millies millens planis simul inniti.
imo infinitis, si sit in superficie concava
alicum coni excavati apicem deorsum
vertentis; ubi infinitis puis punctis globus
10 conum
superficiem Conicam tangit et fono planum
ibidem tangenti quolibet suo puncto innit
putandus est. Et quid si grave inter
duo plana sit comprehensum
e
e
usque iunitatur, quorum
unum XC sit inclinatum
utique si momenta respectiva
in duobus planis exercita
in unum addita aequantur
momento perpendiculari seu absoluto, aequa
bantur ambo simul ipsorum uni nempe momento
in plano AC, pars toti. Sed non est cur
his insistamus. Nam Theorema receptum
omnino apud staticos habetur demonstratum

## Folio 9r — 00068046:0017
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 8v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/00068046/jpgs/default/00000017.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 23 lines, status machine
nec meum est aliorum demonstrationes
repetere, quibus non puto resisti posse,
nisi quis principia statica de centro
gravitatis et recipzoca ab eo aequipon
verantium distantia evertere velit,
cmi satisfacere hujus loci non est. Idem
fere dicendum arbitror de docti cujus dam
mathematici Parisini objectione in
nis ipsis actis mense seplembrihnius
anm aditis p. 416 relata contra
Celeberrimi Hugenii
positionem de centri gravitatis corporum
oscillantium ascens. Itaque hortandi
sunt viri eruditi, ut in promovendis
potius scientiis industriam suam
ostendant, nec quae a Geometris praeclaris
accurate constituta sunt sine diligenti
ad horizonti alterum AC verticalet Ramine la befactare aggrediantur
Quan quam interim objectiones quoque, quarum
lucem aliam so quarum solutio lucem
aliquam afferre potest, si absit
contentionis studium, landem suam
mereantur.

## Folio 9v — 00068046:0018
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 8r); this page is its left half.
# No recognised text on this page (recognized).