# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068146:0003
# Permalink to this reading: https://leibnizlegible.com/page/00068146:0003?run=73
# Title: Leibniz-Handschriften zur Mathematik LH 35, 9, 21
# Folio 2r, page id 00068146:0003
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 1v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068146&page=3
# Source image: https://digitale-sammlungen.gwlb.de/content/00068146/jpgs/default/00000003.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 73, 2026-08-27T15:28:38Z — 102 lines, status machine
# Lines: 102 recognised, mean confidence 0.81
# 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.

CALCuLus
centrum gravitatis corporum A et B
notat locum primum, d2 secundum, 3tertium
1C2C = 2C3C  IAIC = 3A3C eBI C = 3B3C
t puncta 2A _EB, 2C coincidere intelliguntur
I asu etrursus BC repraesentat corpus A
B 162C vel C3C sit C C semper cadit inter e et b distentiamque 
A_, a 1C2C, C AC, a. BC, b i AB 2AR 1BG
sit A corpus quod Posi sequitur
C= vo-a Ergo per 1 et2 c. b-y
() seu EA3A-
b
2C 16 150
150
6 igi
198
IAA S BBA AC3 8G,B. 1 C2C, 2 1A3Ag1. 2B3B, 8 
ele
1AeA, 1V. 12B3 
A2A, 5V. 1B2B, 4y. AC, 3b. BC6a.  1C2C, 2C.
2A3A5 lX. 283B, 84
A autem sit corpus, quod  post centrum gr. insequitur
50+ 4y36+ba. ubi 4 significat + si corpora sibi
occurrant; at idem significat-. si in easdem partes tendant
2C=, v - 9b2 (per 1 et 2) 6a +4y
(6
-1X , C - 3b~ 5v -(2) 3b et () 3b = 5V -. - 1. X
8Z =2C +6a = + 4y + (2) 6a  (per 3) = 5v- 3b +6a (per 2f7)
et (2)6a =  F + 4y + 8Z (per 7 et 8). et (per 2,1)
orit 8Z -. = 1. X = 6a + 3b. Ergo (per 1) 8Z-. = 1. X=
=
 164y = 36+6a -5V per 1. etib al 2 2E 20bb
et 16 yt = 9b+ (2) 18 ab (2) 15bP + 36a - () 30 av + 25v3
15)ua
3 6
3 m
3 probatio per abj. X1
.. . . 1X
p_48b9227b3+ (2) 5it ab (2) 45bv + 105 a b- (2) 90 abv + 35 by
vilisc av io av:
Ca H = 
Occursu
+3s  
HVX
6a X2 2(150aV-(4) 90 abv + (4) 54 ab
19463 
u
7 per XI
9 prob
275bV - (2) 5 b v + (2)90 abv +27 b3- (2) 5i ab
patet valaem 15 + val. 16 = val. 17 + val. 18
2(19)
Habeunus ergo 484 150 a v + 48by = 6a X + 194b
(20
s sa 25V - 1. X = 3b. 64Z - 16y. quam divi dendo per eg (12))
(21
22)
fiet 6. 5B = - 1X = 3b +4y+8Z. seu 6a 5  3b4y = 6a - IX + 3b8Z
su
paeqealii 2
se quod significat different
vel sumum quantitatum motu contrariorum, vel sumuan diffeuntiam
Monsniraatium este eandem, auic aut post concursum, semex
segnoficat
a
sum
patet autme ut corpora esse reciproce ut summas
rasua
su
ua
sta
sex A, C:BC a  3D. CB:: 1A2A+ 2A3A: 1B+ B+ 2B3B. Sed ut sciamus quando summae aut diffrae sint
Hnc generale prodit pronuntiatum memorabile et paradoxum
adibende
Si corpus post ictum e regrediatur, summae, si progrediatur
differentiae velocitatalm (seu spatioum aequali tempore ante et post ictum percuasorum)
sibut corporibus neciproce proportionales, uod in ordiner rectur restintur  atesi
 tatuit
6+3: 3:: 8: 45+ 4: 3
6+3: 6:: 5+4: 6
12
taradoxum: duo corpora
cossunt se directo genisu
nuo sistere, quae tamen virium
sint inaequalium rmco nisi sct
aeque celgres et aequales semper
inaequalium sun virium absa
lutasum, esi respections ictus
habeant aequanes. ita si corp
corpus t. et t. 2 use f mgns
habeit ut 2 habeat celeritalem
ut 1, et aleerum ut + vella
tatem, ut  siscent sese, sed
tamen vires hibent in aequul
nam prioris vis est 2, postenons
est 4.
difficultas quod videtur
cstpus eo magis reflecti
quo motum est deterius
Ol. 31:: = 4y+87: 5V - = 1. X:
68::  3b +6a -∞ + 5v- 3b+6a:
+5V L5V + (2) 3b