# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/779782283:0686
# Permalink to this reading: https://leibnizlegible.com/page/779782283:0686?run=74
# Title: [Physica, Id Est, Scientia Rerum Corporearum, In Decem Tractatus Distributa] Physica, Id Est, Scientia Rervm Corporearvm, In Decem Tractatvs Distribvta (shelfmarks Leibn. Marg. 7:1-2; ZEN Leibn. Marg. 7:1-2)
# Folio 600, page id 779782283:0686
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=779782283&page=686
# Source image: https://digitale-sammlungen.gwlb.de/content/779782283/jpgs/default/00000686.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 87 lines, status machine
# Lines: 87 recognised, mean confidence 0.92
# 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.

bOc
PA ZSTC F TRACT A FVS TI.
tionis seu rectis, in simplici ra- haec fectio est ellipsis; cuius secun-
rione sinus corius, e complementis da, de minor diamerer, est aequalis
per P. 75. ratione vero basis aHIKa,
vel resictentix. Cune in duplicata
eorumdem linuum, pet P. 76. igieur
catione veriulque, in compolica ex
simplici, e duplicara corumdem;
Sed haec est criplicata, ve constac ex
cerminis: dixi rarione inclinacionis,
seu rectis, quia inclinario imminuie
rectem; v. g. momentum carione
rectis inclinaci AC, est ad momen-
EAI AE, VE AK, ad AI; VE COn-
stat ex dictis.
DROD. LZZVLFI
Momencum prismaris affixi, s
iaclinati deorsum, aequale est momen-
eo, prismaris affixi, es inclinati sur-
sum, sub eodem angulo, eademque
rum longicudine, cum basi aduersus
+ basim affixam: v. 8. Cine prilinaca
Fab. 2. BO, BB; illud quidem Curlum, hoc
diameero balis, cylindri, DA; igi-
tur balis cylindri inclinari AF, mu-
vero deorlum inclinatum, (ubii Idé
angulis EBO; EBD, dico momen-
eum esse rerimque aequale; hoc
roaftixa, est ad basim ciuldem ho-
est; nempe planum BC, d planum
rizoncalis, ve ellipas EA, ad cir-
culum DA; celistencia vero balIS
DA, vel BA, est ad relistenciam F. A,
etiam cicaris locis demonstracum
re quadracum DA, vel AB; ad qua-
dracum AF; hoc est in duplicata
BP. Cunc ciuldem inclinarionis, ex-
alcicudinum; quod ve demonstre
cur; suppono, circulum, Tub me-
dia proxortionali, incer maiorem,
∞0 in verumque eadem est eiuldem
Ponderis gravirario; re constat ex
cerminis.
PROP. LZZIZ.
Si cylindrus, loco prismatis, affi-
aeus sit, scilicet secundum planum in-
de minorem diametrum ellipleos,
ipsi ellipe esse aequalem, re geome-
cex demonstrane; hoc es elliplum,
esse ad circulum, cuius diameter,
ett aequalis minori diametro, ipsius
clinatum, sine sarsum, sive deorsum;
ellipleos, re maior diameter, ad
idem de illius momento dicendum est,
minorem; quod in graciam eyro-
quod de momento prismatis, supra
num ca Facilicare, demontero, qua
nelcio an maior excogicuri possit:
diximus: pro quo luppono lectio.
nem cylindri elle ellipricam, sI per
Ecenim circusus AOGML CeHETO NI; F18. 51.
balis cylindri AB, sectus ab obli- F ab 2.
quo plano AEBD; Frustra ostende.
rem elliplim, hoc est sectionem
quam prae oculis habes, cuius cen-
trum est F; longior diamerer, AB;
planum obliquum hac; sic enim cy-
minor, DE, aqualis diametrO PEX-
Faci circuli MO, vel AC; hinc (2
lindrus AFI, C Sicu horizoncali, Er2-
ex singulis punctis plani elliprici
AEBD, demicrantur perpendicula-
res; cerre illae ad singula puncta,
plani circularis AOOM, cermina-
BUMEuE; V. 3. Cx B, in C; ex F, in
N; ex C, in l; Cx L, in tI; ex D.
iIn O; Cx F, in M; _C. CrunEque
omnes parallela; igirur parallelas
aequales terminabune, Ceu comple-
eteneur; icaque allumatur L.C, de-
mitrancur que GL, LH; ducacurque
HII; dico TII, esse ad LC, ve AC,
ad AB; nempe duCaEUE LK, paral-
ductus in AP, ita ve a plano verri- lela FII, habetur criangutum LRC;
cali secerur in FA, haud dubie equiangulum, et proporrionale,
cum