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# Piece: https://leibnizlegible.com/api/records/23991/text
# Catalogue record: 23991 — Burchard de Volder an Leibniz
# Incipit: Ex litteris tuis, quae me a. d. XVI. Januar delatae sunt
# Date: 1699-02-18
# Sender: Volder — Addressee: Leibniz
# Akademie-Ausgabe: AA II,3 N. 200
# Other printings: Gerhardt, PhSchr 2, S. 163-168 -Leibniz. Matemática-Física-Metafísica, hrsg. von B. Orio de Miguel, Madrid 2025, S. 230-235 (span.)
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=23991&katnr=K+4324
# AA II,3: its series at Leibniz-Forschungsstelle Münster (online after accepting its terms): https://www.uni-muenster.de/Leibniz/seite5.html
# Work: https://leibnizlegible.com/work/DE-611-HS-867859
# Title: LBr. 967 · Volder
# Folios: Bl. 7 (from the shelfmark LBr 967 Bl. 7.9.10): 2 pages, canvases 13–14, page ids DE-611-HS-867859:0013 to DE-611-HS-867859:0014
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867859&page=13
# Lines: 92 recognised on 2 of 2 pages, mean confidence 0.88
# 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 7r — DE-611-HS-867859:0013
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 10v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867859/jpgs/default/00000013.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 42 lines, status machine
Amplessimo
God eri
Ex co
et muetipeici sinditioni genone
contigeimo vin
Guiedemo
L
ibnitri
d. P. D.
oc roeder
Fx cintcirb tuis, qua ad me a. d. xvi Lannar delata sunt, fuma
mihi quidem jamdudum cognitam, id eoque noc moxinatam sucuu:
diffimam tamen miti insignem tummanitatem tuam latuos peaspexi
Quod adicla tam tarda respondeam, nulla alia causa est, quam quod
vacotndo non satio firma abstincro mo coogerit ab omniburiis, qua
attentam moditationem requirorent. Verum abva nimc utamq
mecitatiis, morari diutius nocni, quin trecinu meas qualos cunqu d
re, de qua agitair, cogitationes communicem.
Qnod ad difficuetatem meam do staberae unt etiam, ut rcloaddio, con.
poriim rociproca ad magnitudinem coeoritato in so invicom in curon.
tirim aquicibrio altinet, cam (siquudem constiterit, aequibiii cogdra
minquiam nisi quoad viros mortuas exdrcdri, aut potuis, siquidom de–
monstratum sit axiomatinim, unclam transitionem fichi por
faetum, ex hon erum piinis illud sequi video scentam essoagnosco.
Enstatera ros manitorta est, cum illic agatur do orimo motio princ
civio; in corporibis vero, qua jam impetum conceperunt, cicot non
tamcear apparvat, do tamen id quod dicis mitr seso common.
dat magis quod in moclibus figurae mutatio porsorerant, et
indeoetics eadom joso rostituicio satis eridonter docot, contar
cum non unico ingtanti absoevi, sod indigoro tracti quodam
temporo, cicot admodum pavoneo; Verum ut tibi ad objoctionom
quam fecoram respondenti hrfficore fatcon, har, cumroeiquie tiio
ostatis consentiunt, absus demonstrationo ossumi; ita non inti-
ciaberis, ox moc, peonam trngue roi fcientiam a demonstrationo
cii axiomatis dependero
Axioma Cartesr prociul divio verinust, si supponamio corpus L Cintig.
tua) tantim minum roquirero ut moreatur per Lm, ac por mN, NP
PZ, itsi LM aequalos. Sod hac iptrum st id, do quio quicontur. Conpioct
L siosconderet ex Luno coeoritatis grodu ad m, dein inm actom acco-
plo coeoritatis gradum asconderdt versiis N, ot fi- porro ad P et 4, foront
profacto vires omnos simme sunta cppribus ascondorot pr L.E aequalos
riribus conporre AC, EG, ascondontis por AD iesi LMaequalom. Vorum

## Folio 7v — DE-611-HS-867859:0014
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 10r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867859/jpgs/default/00000014.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 50 lines, status machine
si corpiu L habeat 2gr. velocitatis, quibis ascendat pd L2, sustinebit
illo, qui ex volocitate vires ostimat, iclud tantum raschintia
amatsria graritica inventurum ad soqp tantum virium doporditurum
dum transit por spatium L5, tripeum ipsin DE, quantum postino:
dumper pE; hor artem ex aqualitate temporis, quod in illa spatis
percurrendio insumit, soqui autumabit
Addis denido aciud arguinentum ex compositiono motio degumtum.
ciri, quod opponam, fatior, nihil haloo, prator hoc imum, quod suppo:
nat hoc argumentum non gonoraeom naturam corxorim, sed peculi
arom corporum porfocto olasticorum. Inquibiis id, quod viros rocas
cufervari non tam natura conporum, quam olastri debetum.
Memini mo auto multos annot, cm inqiirerem in Legos motui
Hrgerrianas, quas absqu domonstrationo odidit in Dianis, vasdem do-
dixisso in corporibus elasticis ex duplici hac hypothosi. S. Qnantita:
nem motio binorum corporum, (quiam ogo viros vocabam) quad osset
vorsio contrarias partos, se inricom dostrc (quod ex aquacitati
ririum contrariarum peanum oistimabam) rociquiam vero quanti
tat ein, ut et quico ogsot vorzis vasdom partis, conservari, de in in
trumquu corpio, bro rationo magnitudinis corporum distribui. Ex qua
hypothosi Eeeges motris in corporibus moecibris deducobam. Aetera
suat ann va ictus inter eadem corpora eadom sit, quaanqu inter
sa sit relocitatis ratio, modo intormodia distantia eodem superi.
turtempor, ceastririm ox hac cvevritato ostimandam camq
darco rostitui rociproco ero corporium magnitudim. anibris positis
ita ratiocinabar. Sit corpiis a velocitato c corpiae b vococitato s; qua
sasdem
antrnna
into invicom impingant sino in eofdom partos, sivo in cntmnas toran-
trim Si corpora non toront eeastica progroderentur ambo post occurtum
volocitata ac F bF ab  versus D, siquudem pono nmasr determinatio.
nisvortiis contrarias partes, ac majorem osse quiam bf. Quod si sint
a +b.
elastica, ort vis veastri, ut c+F, quia idciro cocontae distribuionda
orit in utriunque corpio rociproco prorationo magnitudinis Zuan
si fiat ut a +b ad c+F, itla D ad veoritatom quiam ceac trum
roddit corpori a, et ita a ad coeoritatom, quam censtrum roddit cor.
pori b; habobit A ex occursu volocitatem ab A versus B pit ac =bF
a+b
oc ox vlastro acquirot velocitatom a vergin A, ut bc +bL enarium ergo
+b
diflorentia orit relocitas ipsius A ∞ ac 22bf. b= idque ab Avorsis D, et
hac quantitas sit aftirmata, a D voro vorsio A si sit nogata.
Etidom Bex occurgum habobit volocitatem ab Averosio B ut
ac = b1.
0
10
ex deastro vero aequiret relocitatom oriam abAversis Dx ac Lat
72ac 2662a
a +
quarum ergo summa orit veocitas it fins B, quae pergit ab Avorsus D.