# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/40569/text
# Catalogue record: 40569 — Ehrenfried Walther von Tschirnhaus an Leibniz
# Incipit: Ich wihl nicht zweifeln sie werden unlängst von Mir abgegebenes erhalt
# Date: 1677-05
# Sender: Tschirnhaus — Addressee: Leibniz
# Akademie-Ausgabe: AA III,2 N. 044
# Other printings: -Gerhardt, BriefwMath 1 S.337-338 (tlw.). -Reinhardt, K.: Beiträge… Meißen 1903 S.18 (Erg.). -Gerhardt: Mathematische Schriften, Bd. 1-7, 1849-1863, 4 S.432 (tlw.).
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=40569&katnr=25613
# AA III,2: its series at leibnizedition.de: https://www.leibnizedition.de/de/reihen/reihe-iii/
# Work: https://leibnizlegible.com/work/DE-611-HS-867509
# Title: LBr. 943 · Tschirnhaus
# Folios: Bl. 5 (from the shelfmark LBr 943 Bl. 5 (=35931)): 2 pages, canvases 9–10, page ids DE-611-HS-867509:0009 to DE-611-HS-867509:0010
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867509&page=9
# Lines: 155 recognised on 2 of 2 pages, mean confidence 0.77
# 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 5r — DE-611-HS-867509:0009
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867509/jpgs/default/00000009.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 60 lines, status machine
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nali alina, famvogl entree chet la Reina d eac Cardinaux ali anibs nibinum
det Ze der fniver habiler an; nenligur Mih varsuhnrt, diewnil er dem he durch
M. Oldenburgerae notificirmius mtrnmnnt, di shm miht augunahin dero corneheon
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dente soll, unc verlanant sulbigne von Hhin durih ein birnfia hierin volldoman
ob hi hon diaß war Mir uber hraben won b basonn baßen) in formirt sun
Duc noin auils dinnnil fr guenn  eine bina durih dis settinus Labuebi
bunda wolta gubun lasem vun addrasce nutioad sum Venedio od mo sont balinbat nino
damitt soliha subur fort siondtem kominua, uh habe solihas bald mil dem woollum dam
D1
miti daonil aunoch4 nonabes andnncka hier Zuverblaiben, in dnit, was denhe
ine Gunr halter dincilab, inil dasen satisfaction int wonrcha couta stallen. dr mobun
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soustam nel corso ro Dominum Rospiglio sum, und s diucta no omni Scibil
e 
moronu  sahr dinust a d Hainiari ib aauu Min irviaomu.  labe outum
p
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fractire
gar rurgunigt, wongen dimlichuru Ginha haba alta tudia quittiret; m niuhius dia
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dtalienise  Tranhoista seracha wor hum gutta autum gnabnit; dem bl Kircharum habu
AC
bnnn vielen mehlen gnsgochen, und bin in dasonn abrrn mibnit noch belinbun, in daden
Gallerie morinum Curiensa Machinem adi auibs alla niua opera; Mabita vindum ob
Sun be Lin modus Geueralis bacaudt; ex data alicujus seatii curva Geometrica ter
e e
e
minati menhura, contrum gravitatia in axa determimondi, 28 munda Nm in
des
siim
gvinster ingnisition dinnen. As hatt wohl dCartes, niurem ingercensen odum dam hc
fenio communicit se in datum coninrentarion nuthaltum abur o univarsal beglariba su
sum. Meina lahta exercirunque damitt unina studia Mathematica buflorum, ea Mibs aut
nium (0 lacibtum Methodum Omnium Currarum cquantitatum tractenus cognitam 
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mensuram fungaltum gubrrcht. at Miro win und. mann solihnt solo calcule lohua pugui
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nes cautm grabitatis coeniti
sition ddargantam noh ireposition indofinita alicuiq parva lincolaesed saullimo, dum
D
bus aut tribe hallem linaolae conctanti buffingat, Mochta windum ob man dia Ltur dinsur sa
Rorum, odacum natur in folgunde aeguationem 9x lx- x+
Ahhabu araliba alta ad ineusuria reducint un y x Yet x
yx (X6- x8
y x (xo- x13
y x (x10x1 atque ind
9x s1 =x19 in in
y x 1X - x16 Simitus

## Folio 5v — DE-611-HS-867509:0010
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867509/jpgs/default/00000010.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 95 lines, status machine
melicut. En (olitu 0 mninum 2s Cen stuira le probabed
ut Babi 9x Ix-xF feu yx x tanxe bnodunde ununtl.
e
Eioflsius
c c
ta onil dia Betima
62 mod ad Circulit
3)
tuma 08 magr zufind at dmuma omnium xx Sed hatie hancum rarum pomevic
din huit ob rihitinire vindum bekandtum se abraium ba at Mino mabr dum ad Guver(uhum
2S. Monsiane Dagoire hatt Min gabinbnu
und no sulbigue vnlanigat an Hhr Gussiribum
Monsieur que je huis
(it dia addresre; . M. Porone Gentithuome
de Patorne chec M: Anfrauio francone
à Gennes
Hemisphaeri,
Ex sola data area figurae
axis vel basis res sit
data figura daretur et ejus
Kircherinnae cistulaae pro
.
Notrm trehimblat
Serrituum
de Sschirnhans
ABHX. AC⊓ 1. B epi -XV, hromen tum Cx
ye XS1 -x. C ergo y 1 x - xt. Xp 3 +
non potest daris distantia aente i gravitatis a busi, na cum
centrum gravitatis, quod minime firri pt.
scientiis. Ejusd. vuria collectanra, experimenta corre spondentiae.
(XZ dam ex dat asx. posit Z⊓ ..... x
generali ostendam rari quadrabumm circuli hoc modo sit funra
cujus aequatio y aequ. s1 + X + Yi - X. datur sy. Erg ex
 11+ Six. seu S–
sirs et
sieus dataarea finiae datur momentum exaxe vel basi nethodo
quadratura parabolo, ergo si hinc etiam datur
momentum) dabitur:
seus
c.
Ex Archimede constit. dari ae rationem adliudrum, seu momen tum ci x vadrantis ex
bati, n  F
AE, erit sxsi
C (seu
17 I + X 4 1 = X
 aegu S,-xe ergo ea data
Eosimum quae tamen in
Circulo loum non habet ut
onsterri demonstravi
Consieur Godetovis
Dra
hem Lerbnit lons de
etx
 c
y datur (B seu area sirculi A quo) est absurdum: daretur enm
It via generali omnibus quitionibus
2
AIBBISCCISISbIC
londestibliochet
Honnorol
farmoret
ma
Si xt s
et ita in infinitum
continuata ceorum res
lntione quibus inest
minus, ito componetur
tandem circulus ex resoli
seu
sione infinitohum +
ViX 1 SitX Sitixesi
Si+ x Sit Ix e
ergo ex horum indicum additione
componetur index circuli, sed
index in hit hic prae statit.
a
Ey FZ+ 249
a
Z
Z
a
s
Z dy 5 b.
yp S
sit ydZ A X y Ego Z H=
et Z dy H X3 s eu LyH3
seu y H 3X
y Z + Z dus H _C. est aut
e data quaeritur se nYZ.
possumus unam ex incognitis assu–
mere pro arbitrio, item facere
at quationem novam
ut si fa
  t  Sh
pond. Ergu gn yh+ stidus Sa-