# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/9689/text
# Catalogue record: 9689 — Leibniz an Guidi
# Incipit: Je ne sçay, Monsieur si j'oserois bien vous charger d'une petite lettr
# Date: 1691
# Sender: Leibniz — Addressee: Guidi
# Akademie-Ausgabe: AA I,1000 N. 011
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=9689&katnr=42553
# AA I,1000: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-i/
# In the Akademie-Ausgabe: AA I,1000 (PDF, Repositorium des Leibniz-Archivs, CC BY-NC 4.0): https://www.gwlb.de/fileadmin/Leibniz/repositorium-des-leibniz-archivs/LAA-NachtraegeRI-v1.pdf#nameddest=11
# Work: https://leibnizlegible.com/work/00068051
# Title: Leibniz-Handschriften zur Mathematik LH 35, 6, 6
# Folios: Bl. 45 (from the shelfmark LH 35, 6, 6 Bl. 45): 2 pages, canvases 89–90, page ids 00068051:0089 to 00068051:0090
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068051&page=89
# Lines: 85 recognised on 2 of 2 pages, mean confidence 0.83
# 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 45r — 00068051:0089
# Source image: https://digitale-sammlungen.gwlb.de/content/00068051/jpgs/default/00000089.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 68 lines, status machine
x + xu
xAgodae i: p: y = v: a
4. X 4 dyYidx  dg: dx
1.
3A, 8 AP, E
X+ dyydx = h. 9: h:: dy: dx
oblata jam aeq. differentiali ridentur
ay dy: +X de tuo per X+ clyy: dx
ponamus dari X dv: de per R: a
videamus an tansformando obtrneri
possit quaesitum
X + 9y: h = h seu hx+gu = hh
estr sit 91 M a fiet h=
a
A. a= __CB: Z
90dZ: p, ita explicetur
e
a
et inde ponendo terminum d dco: dus ... - 0 dabitur
reratio inter Co, Zip cujus ope sollatur co habelitur y, p et
daze: p, qua ubi collendo saze p differentiando proditaequ.
in qua Z, P, d2 ap sine a
on si X: a = (AZ: p et y 9: a = dZ: 9. habetatur
pium 1. 4. Sac: p, Saz: q tollende dnas summas ibitur
aad ex, p, 4, dp, dq, ddp, dag, dz, ddz innendo terminas
nihilo aequales, quos mulliplicat adque suctalimm adque, et aliquud
proterea ut g. restat ergo P, dix, dap, d9, dz, ddZ
possumus jam aliquid assumereque clans quod sit tale, ut
quarendo ejus diffralem simul tollamus ( dq. et aliquid
et d et p vel aliter  habetur desideratum
s si X: a = cd: Z et y: a = (dz: p, si sumamus
 relationem inter d et p, idem erit, ac si sumsissem
X. a =
T. P et y: a = (dZ: B
 si adsint d ax:du, pt sumi p. a = cd: Z et y a =
SZ: p +d8: qrco atque ita tollendo u et X divellatur
atque ita divellatur aeque in tres et
gatuntur resationes una inter c0,Z, P, 9
is oblata acd, et ded nes aderunt
unde sextra sugmam
a sublacis q etsed tantum opus est
coti. posticemo summatianm c
adreui nec suplierittum
niss ap
d2
s
si plures
sint ut e ay:  as idu es dus cdu
ontremi sg
licebie ponere y.a=
T
dZ. P + aZ: 41C + dZ: 742
itque ita popro faiare, multinivce.
ila res suceret tempe. Iuvo hoc via pat
inde a signo C.
postroma non prodest, qa
in P gico YIZ
q su licobit.
supponi possunt pro uno. L. ita
X: a = (edix et y: a = F, dz: p +. 9. 1d7
a
et ita porro, et tollendo deo deo, deo
sataitu
inveniemus
(d, TY tros vel. inter 10,q, Y, P, Z, restaba cd,
et tollendo co, 9, restabit, , 102, 1Z, ddZ, (...., et
et do
sublato summa habelitur, P, 2p,Z dZ. ddZ, dd dZ) dubilo

## Folio 45v — 00068051:0090
# Source image: https://digitale-sammlungen.gwlb.de/content/00068051/jpgs/default/00000090.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 17 lines, status machine
ne sĢay
sC
Monsieurt
serois bien vous charger d’une
petitet lettre pour Monsignor Ciampini
qui est fort connu de Monsieur vostre
ere. Mais c’est a condition, que
vous rende le port, si vous, ou luy
d’avancer quelque cose
e in impgine qu’il
aro aujour luy mais cela
paire la semaine qui vient
un quart de feuille.
e
Confreu
liumble
res vberssant serviteu