# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068196:0069
# Permalink to this reading: https://leibnizlegible.com/page/00068196:0069?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 13, 1
# Folio 35r, page id 00068196:0069
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068196&page=69
# Source image: https://digitale-sammlungen.gwlb.de/content/00068196/jpgs/default/00000069.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 61 lines, status machine
# Lines: 61 recognised, mean confidence 0.75
# 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.

E+
2
vc
tt
i
.=n
e
6 
Dato centro gravitatis
figurae, datur recta lineam
ceatrorum gravitatis tangens
Haec ergo linea d
itaque lineacentiorum gravilatis, habet ad egregum
ut statim detur et tangens ejus
Modus singularis investio
gandi centrum gravitatis
figurae. Pebatat et hinc
ducta notabilis proprie
s
ponatur figura ABC
divisa in parallelo volangulu
quorum centra  sint 12, 3,4, et
jungantur ipsae tet  per
Jangatur. 12 et secetur in 11I ita
ut H sit centium gravitatis. jungati
rursus H. 3. et duorum rectangalum
1 et 2. jungatur II. 3, et
secetur secetur in 12, ita centro gravitatis trim rectangulorum l. 2.3.
Jangatur, 12.4 et secetur in B3, ut B sit centrum gravitatis qualuor
rectangulorum 1. 2. 3. 4. qu quod scilicet patet semper fieri modo
fiat verbi gratia 12. 13 ad 4. 13, ut ae summa rctangulorum 1. 2. 3 ad
Hinc jam sequitur Theorema mirabile. sit anei
ea fedtangulum 4. et ila pOVIo.
cF iquia Trilineae AEF A centram gravitatis 12, et
in vasi ejus EF sumatur medium punctum ( et juncta 12.G
recta, tanget lineam centrorum gravitatis segmentorum triline,
 Nam a G a 4 assius nabiliter non difert
et EF, y. esit  et ex pentus 12 ld nonvalis coordinatae2
2c224
 7.1= et V, ) 12M sit) patet esse, v = f(yydx: sydx) et q = (Xy dx: sydx
erit  erit v = Esyydx: sydx et Z= sxydx: sydx
et du= gydx p- syydx yd ( = Sydx. hydx = sygax. ya
21 Sydx
sydx. Xydx = (xydx. yax sydu
asyqx Ep Max
7
jan
1dx. y = Cyydx
2SydX. X = sXydX H.12 X.
eaps Hianc aequatione
eram ticam
si pro
substita
antre
auc Fr
d
22.
E
2 3
2
 sit AE,X