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# Title: LBr. 943 · Tschirnhaus
# Folio 7v, page id DE-611-HS-867509:0014
# 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.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=DE-611-HS-867509&page=14
# Source image: https://digitale-sammlungen.gwlb.de/content/DE-611-HS-867509/jpgs/default/00000014.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 79, 2026-09-07T03:33:42Z — 93 lines, status machine
# Lines: 93 recognised, mean confidence 0.76
# 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: the recognised lines in reading order, one per line.

sit jam e
jam ut xa
p 2
dent-
xx
xx
hoc e YXx∞ 2
3M ∞n.
X M. (YXxnXx Dhine fpriora d.t x 2 sit jam (rhrire 2. fig.)
a -YX
adious
GH xX d GF ∞XX jam (HGXX
4 jam ascrmendo GHxxX dGFxex invanias
dGF xEI
∞IX ∞ 1. d
DM3 X =1X)S: e ent
X3 ∞ a - YXX ad eoq YXF x. n - 27
2
 assumendo vero GHxX
dGFxx inveries x x 2 dic porro YX5 x YXy atque sic forro mmiifinitum; Techia ii asmu
mo HG7 2 dG5 px3 ado HG∞X dGF ∞ X, atio HGx ~GF x Xd ato HGXX3 GFXXS atqcic gorro
inveniemus Yx x3
4
4, IXx∞ 3
5
5Yxx
d
L
YxF73 atque cic indefinite. Eadem netione invenio hic no
3
,1x3∞L, Yx x item xx:
Sems xlas eruit tales quantitatas froctioni cujus numerator ex ponens signi radicalis; denominatur
et
Summra exponentis signi rodicalis  ex ponenlis quanlitatis xE hisc i paricis Me
al
existinio, a omnium Parabolamm lonordum Parabolicam dimensione ac infinitarum pveterea supficio
ia suou omnim quantitatu
ue abharum compositione exsirgunt, uti ominia corvideo Parabolica a Larabolie infinitia circo
von basin genita atque infinitae aliae tales guantitats, 3 quia compositarum ex surdis quarotitates infini
B.
de
 D B
finmodis possunt ex primi gminca tale congositinam infinitam cguantitatum minsura expendat. ee
IX +(x3x fuxtagriora 2. +x Z verum hac guantibas infinitio modis poti exgrini eo: Maltiplicm
de in se Atice, Cubice ab: Dextrahendo rndicu radicom Htam, subicum eb: nic mulliplicanido in Pertica hon
eti
aubitu  extrahendo radicu erit YX +xD +EF  x  ubi notaridum gd quandous egregia hinc aser
quinis si extractio proiedit, valut in praesenti exerupro erit nun (X +X3 + x x (B: quid probabi
c
5
eia jam tunc dari Yx +2XC amo dals Yx+x hoc E husfbrlae Htura Sed grobabilibus in hoo neou
tio o credendum interim admininm interpolationis nrgotium a Nallisio extribi mulum hinc ad
invabits) quotjam existinas ouantitaturo Mensura dari conjungendo tali ratione omnae bigoi
fernnc, quater nac 2l? Attamen in eoo terminats Methodas, 
ne
ac
puscio in infinito con
binuendi ad finomit trinomia e: nuprbondi mensuram dannjam Omnium curvarum posi
se
D
biliuu nume nm detarminorim sut ex recrpliae à Me literis intellexiste spero) Et facila in hoc in
golio omnae posribilas combinationes deberminare liceat. Tredo in tempus trabere Me poser hinc deteri
minare dam omnae possibiles tturac, guanoguae o Aturam ad miittunt. Et alia quae ad ultina huj
4, 15 l X5 Ia-x3x 8
Xe la-XF x 8
23) Xx la- X x
8, 15 eb: item x a-xx 
6, 105
XIY- xF x 38 Ato sic talia mogno nunero communicare poserm; Jam inte
c
12,105 8
rim ad altara partem tuisus Method. Ma convertam; quae consictit ut data aligrs spatio, mensura rjusdo
tegats Cloguor salte de spficie quia omniae alia cquantitates ad hos reduci poscunt) hincus vic procedo
Conjungendo mino Fcum cum proposita figura formo solidum hinc ut antea d siquidem hinco mensur
biles
ju patet provrediendo ut sugra, ascimo aliac ac aliac figurae d efficio hunc solida priori aequalia efi
tunc ut autia progradior fonuando seme aegnationos inter diversas illas sectiona etcumque semespatia
illa ebilio in carta ervoristione assimo, debent provementia quoque seue in carta proorescione ever
di aderus ut facila videam num trac mothodo intentum ascequilicabit; octenda speciminis loro qua
ratione circuli ac alianum figniarum novas hrao Methodo detexerim Rhiras; Primo eit semicir
cutus DM3 d ascumamus, eum
DAC3 ita ut radius 30 x lis DA. Sedcum
hac ratione nihil invenimus gd tendat ad noctrum scopruui
teritant conctatit. Asarmo Smangnulumo FH in qui de si
Mathodi efectione reguinuit Verum ut aliqua saltem dibi communice euempla quantitatum com s ninc 
positarum in quae inadi ulterias proprediendo; observavi Oma. xx x
XY-X x 4 3 et: item X I2 - x x 8
XDTn-X3 x 48
9, 10.
6, 15
2
4c
c