# Leibniz Legible — https://leibnizlegible.com
# Piece: https://leibnizlegible.com/api/records/62501/text
# Catalogue record: 62501 — Calculus virium in incursu obliquo recto unius corporis in duo
# Incipit: A = [D] = [E], angulus
# Date: 1686
# Akademie-Ausgabe: AA VIII,4 N. 089
# Record in the Leibniz-Katalog: https://leibniz-katalog.bbaw.de/de/extended-search?id=62501&katnr=60048
# AA VIII,4: its series at Leibniz-Edition Potsdam II (CC BY-NC 4.0): https://leibnizp2.bbaw.de/de/leibniz-online
# In the Akademie-Ausgabe: AA VIII,4 (PDF, Leibniz-Edition Potsdam II, CC BY-NC 4.0): https://leibnizp2.bbaw.de/fileadmin/Webdateien/dateien/LSB_VIII_4.pdf#chapter.89
# Work: https://leibnizlegible.com/work/00068160
# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 7
# Folios: Bl. 22 (from the shelfmark LH 35, 10, 7 Bl. 22): 2 pages, canvases 43–44, page ids 00068160:0043 to 00068160:0044
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068160&page=43
# Lines: 112 recognised on 2 of 2 pages, mean confidence 0.73
# Catalogue: Leibniz-Katalog / Arbeitskatalog der Leibniz-Edition (https://leibniz-katalog.bbaw.de/), ed. Arbeitsstelle Potsdam I der Berlin-Brandenburgischen Akademie der Wissenschaften, CC BY 4.0.
# 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, page by page: a "## Folio <label> — <page id>" line ("## Canvas <n>" where no folio label is recorded), "# " lines naming its source image and model, then its recognised lines in reading order, one per line.

## Folio 22r — 00068160:0043
# Source image: https://digitale-sammlungen.gwlb.de/content/00068160/jpgs/default/00000043.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 53 lines, status machine
et 2A.B-
2A2C
A=
=C
e
angulus 282823 rectu
Ccentrum gravitatis commune, ejus
via aute ictum 1C2C, post ictum 2C30
debert esse 1C2
Il3C
B AC = be bis BC
quadr. 28
est
E + quadr. 2d 3d
aequ quater. quadr. 1B3
aa a
igitur ea quadm quadruplum
qvadratum 1B3C
est vic commu-
hic coincidunt nicata conporibus globis Det
cui si addatur
E
quadra
tumi 2A3A habetur vis aequalis
prioni, seu debet e
4 quadr. 2B3B 4
e
A3H = qu. 1A2A
et
1A2A=a 1, 2A2E = 2A2d = h,
HotL A. 12. Ergo 1AIB = a th:M
22A.B= nS2.3 1C1A = Z1AB = 20. 34 ho2:3
jam 1C2A
eAIA~IAIC.
a
d. 3- 
33. jam 1C2C=IC2A12A2C
Ergo 1C2C= a: 3C fa 1β3B=K. adde 1B2C = HV2:)
A0c
ic 
inde auter 1(2ldea a: 3. fit 3B3C=X +h 2q- a. D
L XaLSI
C= 2X42hN2.3- 2a. aufer Ab 2C3C rest
Cucis duplum es 3AZ
auZX= 2h+313
s
vert
et
2
3
D
es
1BeL

## Folio 22v — 00068160:0044
# Source image: https://digitale-sammlungen.gwlb.de/content/00068160/jpgs/default/00000044.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 59 lines, status machine
en
v fiet 4
= 4X
2.
se
(a = 4ax + 2ah (2: 3 + 4R
+2A
Ca
e
ax seu
ob viium
2
fit.
a
puncta 2A2bZC2C roincidere intelligantur seu
qa
globuli sut infente parvi fit 1133B=
s
33B = dimidia cA2A. seu bis 2
irge quadrapla aB3B=  quad
s
e
sumor. seu si jam ponamus compendui
ausa ceh esse infinite parvam
2.
1
3B=1A2A.
erao quadruplum quadratum 2B3B aequa
Quadrato, 1A2A. jam supia oitensum efi
auadimplum quadrabu 2β3B, unam
uadrnto 2H 2A3A
c q
A2A. Ergoquadratum
3
cur nitulo, seu corpus A post ictum
seu X - L
ta
X+
2. 3
talL. 3
e
fa
cis
Quaci quadrato
tem copeglobuli alicuius magnitudicus
a fit
l-
2
ia
g qran
2ate 2.3
2h 12
a.aH.
aqua
.rahis
203Z
rescit
pouantur
s