# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/11351/text
# Catalogue record: 11351 — Isaac Newton an Leibniz
# Incipit: Literae tuae, cum non statim acceptis responderem, e manibus elapsae i
# Date: 1693-10-26 (93-10-16)
# Sender: Newton — Addressee: Leibniz
# Akademie-Ausgabe: AA III,5 N. 194
# Other printings: -Journal für die reine u. angewandte Mathematik (hrsg. von A.L.Crelle). 32 (1846) 4: Facs v. S.1 & 3. -Gerhardt: Mathematische Schriften, Bd. 1-7, 1849-1863, 1 S.170-171. -J. Edleston, Correspondence of Sir Isaac Newton, London 1850, S. 276-279; -Gerhardt: BrwMath 1 (1899) S.256-257. -Darmstaedter,L.: Naturforscher u. Erfinder, Bielefeld & Lepzig 1926, S.18 (Faks.tlw.). -Newton: Correspondence 3 (1961) S.285-286. -CE 1856, S. 211-212. -Newton: Philosophical Writings, hrsg. A. Janiak, 2004, S. 108f. (teilw., engl.); 2. erw. Ausg. 2014, S. 142-144
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=11351&katnr=34350
# AA III,5: the volume in the Repositorium des Leibniz-Archivs (CC BY-NC 4.0): https://www.gwlb.de/leibniz/digitale-ressourcen/repositorium-des-leibniz-archivs/laa-bd-iii-5
# In the Akademie-Ausgabe: AA III,5, p. 275 (PDF, Repositorium des Leibniz-Archivs, CC BY-NC 4.0): https://www.gwlb.de/fileadmin/Leibniz/repositorium-des-leibniz-archivs/III5B.pdf#page=275
# Work: https://leibnizlegible.com/work/DE-611-HS-860624
# Title: LBr. 684 · Newton
# Folios: Bl. 3–4 (from the shelfmark LBr 684 Bl. 3-4): 4 pages, canvases 5–8, page ids DE-611-HS-860624:0005 to DE-611-HS-860624:0008
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-860624&page=5
# Lines: 88 recognised on 4 of 4 pages, mean confidence 0.91
# 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-860624:0005
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 4v); this page is its right half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-860624/jpgs/default/00000005.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 36 lines, status machine
d.de
est tcisea
Elaberrimo
Viro
G0defrido Gulielmo Leibnitio
Hsaacus Ariolon S. P. D.
Liderae luae, cum non statim acceptus raponderum, e manibu
clapsae nhr schedas meas diu laturrq, nec in eas antr
Reslurnum diam incidara polui. Id quod me motece habuit
cum amiciliam uam manimi faciam, taqque intur summos
Rujus saeculi Gromitras a multii ratio annis Raburrim
quamad modum Eliam data omni occacione curtatus cam.
Nam quamvis commercia philosophica  mathimatica
quammanime fugiam, tamen maturbam ne sitentio
amicilia nostra ex silentio decramentum accipervat; idq
menime cum Walligius nortum Hicloriam Algabrae in
lucem denuo missurus nova aliqua e lituris insaruit quae
Oldenburgi ad l consenpei, 8 sic
ym
etim per manus
pucam mihi dedit ea etiam de re ad le sribindo
Postulavit inim ut methodum quandam duplicem ape–
rirum quam lilinc transpositis ibi ceelavaram. Duocirca
coaclus sum qua polui brebilata exponire methodum
meam flurionum quam hac celaveram santialia.
feuentrs involveu
Data aequatione quantiat quol cunqee
e mormu fluxiones,  vice virsa. Spiro autum me
nihit scripertia quod ribi non placeat, et siquid sit
quod raprekentione dignum censras ut liters ad mini
significes quoniam auicos plunic facio quam inventa
maluumalica.
Ruductionem quadraturarum ad curvarum rilificali
onu quam dederare viders, invani talem. Sit Curre
cjuvis abscicia r ordinata  Et aria ar porito quod
a

## Folio 3v — DE-611-HS-860624:0006
# 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-860624/jpgs/default/00000006.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 37 lines, status machine
a sit data quantilas. fluat X uniformilur
flunio X=a, Et iperus ycilflunio .
A dato punclo D in recla positione data
DE sumatur DB = de Et agatur indifinita
BCG ca lege ut corinus anguli DBDG
sit ad Radium ut flunio is ad flurionem
X=a: et inviniatur curva FG quam
racta BG purprtuo tangit. Ad enim simper
fiari potuist Grometrice ubi flonionum
de it y ratalio geometrica ul.  sit
sitqe Ej
G. punctum contactus et ubi punclum B incidil im puncto
D incidat punclum G in punclam CF. In tanganti BG
on
sumatur Ge aequalis curvae GF Y CH aequalis rictae
FD ut Erit BH = 2. dua inventa habatur area
quaecita az.
duae vir summur tugimius in mea nolaait ingendora
sunt. Parallanii salie minor viditum quam ipse
forte
elatueram  molus conorum magis reclilineus M. M
caelos materia aliqua subhili mmis implera videtur. Nam
cum molus caelertus sint magn regularis quam sia
vorlicibis orirentur e leges ralias obsarvent, adionul
vorlicer non ad ragendos sed ad porturbandos lancta
rum Et cometarum motus conducant; cumqee omniaque
caelorum at mari phaenomena ex gravilata sola secun
dam leges a me discriplas agenta accuratu quantum
sanlio sequantur,  natura simplicissima sit; ipse cau
tas alias omnes abdicandas judicavi et caelos maturia
omni quantum fien licet privandos ne motus slanetam
rum at comitarum impudiantur aut reddantur irragula
ra. At intrra siquis gravitatim una cum omnibus
Ejus legibus pro actionem maliriae alicusus sublita
explicuerit 8 molus Veanitarum Et comelarum ab
hec materia non proturbalos in ortendent. Ego
menme

## Folio 4r — DE-611-HS-860624:0007
# 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-860624/jpgs/default/00000007.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 12 lines, status machine
minimce advircabor. Colorum phanomena tam appa
rantiam ut loquantur quam finorum rations cer-
tigimas me invenesse pulo sid a libne Edendis manud
abilineo ne miti lites ab imprrtis intentuntur 
controvergiae. Allius u Minolonus cujur opara n
librorum aditorum indicibus libi occurrunt. Hu conta-
lar volui me libi amicum antugemmam reer 8
amiciliam tuam maximm facerr. Vale. Datam
Canlabrigiae, Oclob. 16. 1693.
t moinur dudum dignificasti in lucem
emilterus.
Vlnam rrclificationum Hyperbolae quam

## Folio 4v — DE-611-HS-860624:0008
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 3r); this page is its left half.
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-860624/jpgs/default/00000008.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 3 lines, status machine
Biedersocisisce
Lon sasintiotiot
1