# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067992:0037
# Permalink to this reading: https://leibnizlegible.com/page/00067992:0037?run=39
# Title: Leibniz-Handschriften zur Mathematik LH 35, 1, 30
# Folio 19r, page id 00067992:0037
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 18v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067992&page=37
# Source image: https://digitale-sammlungen.gwlb.de/content/00067992/jpgs/default/00000037.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 36 lines, status machine
# Lines: 36 recognised, mean confidence 0.88
# 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.

neque enim addi possunt n Goometria rectan
outa plana ab ebc ad cubum a neque licet
comparationem nnstituere niber rertanoulum
solidum spatrale seu simplex sixsHa
trium dimersionum, et niter corpus aliquod era–
ve quod est quatuor dimensionum, ut paulo an
te est explicatum.
vel X +y + XX + Xy vel 2X +8y, aliisque modis numerabilu Int erimelicet etiam in rebue psis recedie a leoe
Duae autem sunt leges quae in hac compositio homoveneoruns saltem speciemsubn tellivendo
aliquam quantitatem prounitate arsumtam
moseneorum quam tulit reta, altera est ex ex er ab+ bc+ a-63 Nonificabit 6 pedes cubicoi
una eum es pedibus cubiois, et cubo duorum pe,
diemi simul aequari oubo trium pedum; seu uni
tatem a adhibendo a ab +, +b∞+ a3 b3 id est
vortanoulum solidum i ab seu ab quia unitas
non multiplicat, cujus altitudo unius podis (4) la
fitudo duorum (a) lonvitudo trium (6)( cotinet producun cubicos
apedes cubicos una cum rectanoulo solido iac
sen ac cujus actibudo unius pedis (1) latitudo du
orum Z (a) et loncitudo 5(0( producunt
Ca is podes cubicon
una cum ad cubo duorum pedum, sseu e pedibus.
cabidiss; aequari 6 cubo brium pedu seu 2 pedibus cubicis.
etsi autem Cartesius soleat o raro Tudio violare
6515
levem homoxencorum introductione unitatis
n
eoo tamen ejus rei  maonu usum resterio et
malo cum vieta, quo ad conode licet, etiam m
ipris numeris legem. homooencorum sequi; quia
n
nascitut
ita sponte naturae unectur calculus, maximeque
osentit ordini rerum; erroresque etiam faoilius
p
sexpedes