# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00067993:0219
# Permalink to this reading: https://leibnizlegible.com/page/00067993:0219?run=39
# Title: Leibniz-Handschriften zur Mathematik LH 35, 2, 1
# Folio 110r, page id 00067993:0219
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 109v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00067993&page=219
# Source image: https://digitale-sammlungen.gwlb.de/content/00067993/jpgs/default/00000219.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 39, 2026-08-27T09:55:26Z — 88 lines, status machine
# Lines: 88 recognised, mean confidence 0.77
# 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.

suimma spatiorum
reK
A K ANR A 7S, etc. ab A usque ad S S aequabitur
in Ungula abscissa a cylindio cujus altitudo aequalis AC, basis
AγSA, plano seminormali ad planum paginae; per S+ transeunte; aequabitur ungs ula
summae rectangulorum
abscissae a cylindro cujus altitudo AC, vasis rectangulum YAF plno seminormali ad
planum paginae, per FE transeunte, ad quod solidum ungulare  est ejus clindri dinidium,
seu dimidium facti ex rectangulo AVFi allitudinem CA, id est (quia CA aequ. AV,
dimidium facti ex AF in seee semiquadratum ab AC.
ce
eeie
23
EIF pun. AB
E2F aequ. A2B
1B, C aequ. E. G
2B2C aequ. E2
ctolise
na
um
:..... .. . . . . ..
.aisfrir
eet
ec
nfle
 2H IH
 = iur a B iq vr posito arcu a, sum verso v. fier: a - 1rae + 36rE, 3er  A BC Y + = B anc. quad
6 r = a B EY SO + 6VI 
fet
ergo 3 e quad
et a  a r = 2YSCBY, raV, seu posito Y⊓I1. erit a 6 - 2. (346Y et 5 aequal. aic
360
Ergo areus 45 quid. est minor radio
anus arcy. 45. grad.
138416,
1464
P+ 46
B cocriph. p rad. 44
2520 f 157. 22 Ergo arcu minor 57 grad. est minor radio
15840 f
4 1
146 (23
Gralgu
 aguo 
56[1
1 si meuis octodecum nodum
7e AI
enor
rud.
et arcus 54 quod est minor radio
seplima parr peripheriae
1296 Ecot 24 160 (1.
 fr08 200 2C r7 440
vebereroistrentm neer R N ut 5.
t et AC, A sed sise
et diff. inter R5 et 5, 
sive Fd ut infunte parvae.
5V ) circiter ut 35
ae senters ut linea notabilis, et
rcepto jam inter Geometras more
) in 35, (vel 5 quia posuimus pro differ avu
seu 57 latus se sumsimus rectam 35G positis omnibus  parvis)
Ergo
erit vitangulum EFD, aequale rectangulo R5 + seu quod idem est (ob differentiam
Parvo differunt intervallo,
pat, eut
infinite parvan) jonae quadrilineio exiguae R SC  SR, cumque id ubi
spatium A 7S sempit aequale spatio rectangulo EFA, vel VAF, et eodem
modo spatium ANRA ae quale rectangulo VAD. unde pulchermina apparet
indiget; utraque rectangulo ubique propurtionati peragitur, eo tantum discimime, quod
mensurantur. Quonium ergo spatia hic ut dixi ubique rectangulis aequantur retiam
harmonia inter quadraturam figurae loganthmicae, et figurae sinuum seu (ut rectius appellaretur,
arcuum, utraque enim absolute geometrica est, nec constructione arcus aut loganthmi
hic spatia a parte convexa seu infra curvum ARS, illic concova sed supra curvan
...
vel apis
a 
ous r
a-
ostis ist
Stao p posicto
 sauia t
segm Sua rlermes a. Sadad H1 Sa ave Lo. ljovel vB de
49 2
240i
10410
13D6 (3 
 10