# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/1041163592:0092
# Permalink to this reading: https://leibnizlegible.com/page/1041163592:0092?run=74
# Title: [Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica (shelfmark Leibn. Marg. 166)
# Folio 58, page id 1041163592:0092
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=1041163592&page=92
# Source image: https://digitale-sammlungen.gwlb.de/content/1041163592/jpgs/default/00000092.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 35 lines, status machine
# Lines: 35 recognised, mean confidence 0.93
# 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.

8
PETTLOSOPMTLLE NATDRALIS
De MorO  casu hujus Corollariis AED S+ D FF ad D FL uE 4 D Sad L, de
dirisim DSad D HN uc 4 DS = F ad L.
Corol. 2. Inde E datur corporis relocitas in verrice principali D,
invenietur Orbita expedite, capiendo scilicet lacus rectum ejus, ad
duptam distantiam D S, in duplicata ratione relocitatis hujus datxe
ad relocitatem corporis in Circulo, ad distanciam D S, Orrantis (per
Corol. 3. PrOP. XVI.) dein D EI ad DS uc lacus rectum ad differen-
eiam inter latus rectum Sc 4 D S.
Corol. 3. Ilinc etiam si corpus moreatur in Sectione quacunque
Conica, dc ex Orbe suo impultu quocunque exturbetur; cognosci
Pocest Orbis in quo postea cursum Cuum peraset. Nam componen.
do proprium corporis motum cum moru illo quem impulsus solus
generaret, habebitur motus quocum corpus de dato impulsus loco,
lecundum rectam positione datam, exibit.
Corol. 4. EF Si corpus illud ri aliqua extrinsecus impressa conti-
nuo perturbetur, innotescet curtus quam proxime, colligendo mu-
cationes quas vis illa in punctis quibusdam inducit, ec ex seriei ana
logia mutationes continuas in locis intermediis aestimando.
Scholium.
Si CorpuS F vi centripeta ac
punctum quodcunque datum R
cendente moreatur in perimetro
dacae cujuscunque Sectionis co-
nicae cujus centrum sIE C, eE rC-
quiratur L ex vis centripecae: du
Catur C. C radio RF paralle
la ec Orbis tangenti F C Oc.
Currens in G _ vis illa (per
Corol. Y ec Schol. PrOP. X e C OrOl. 3 PFOP. VIT.) exir uE
CG cub.
RP quad.
D aMPON
S F C FIO