# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/00068164:0101
# Permalink to this reading: https://leibnizlegible.com/page/00068164:0101?run=74
# Title: Leibniz-Handschriften zur Mathematik LH 35, 10, 11
# Folio 51r, page id 00068164:0101
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 52v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068164&page=101
# Source image: https://digitale-sammlungen.gwlb.de/content/00068164/jpgs/default/00000101.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 58 lines, status machine
# Lines: 58 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.

Mncir
SpATIVM MOTV DIMENSVM seu VIA PLENA MOBI L15
E Es Est summa omnium viarum cujuscunque
puncti in mobile ordinatim ductarum. Dicemus et simpliciter s SPAHVM AMOBILI PIACVASVM
Ut si recta AB angulo ad 1B3B, recto moveatur
ex 1A1B in 3A3B, spatium motu dimensum est
rectangulum 1A3BF si rectangulum ABCd intra
rectas AID, 1BIC continuatas motum transferatur
vestigium motus seu via simplex tractus. deo
ex 1A1B+C1d in 3A3B3C3d tractur est rectan-
gulum planum 1A3C; sed via plena seu spatium
motu dimensum, est acucliu
factum ex rectangulo ABCd ducto in rectam .A3A
aequalem lineae motus seu viae vel tractui(nam
Demonstratio in punctis coincidunt) cujusque puncti hoc est rectan
planum
gulum solidum cuites basis rectangulum ABCD, altitudo
vero aequalis ipsi 1A3A.
coroll.
Viae plenae mobilium quorum quae libet puncta
describunt aequales rectslineas, sunt in ratione
composita i magnitudinum mobilis et
longd linearum a puncto aliquo
unius et aliquo alterius descriptarum
Est exemplum Corollarii definitionis
ordinatim applicatarum. 
Fit autem hoc non tantum cum lineae sunt
rectae, qua ut quando le recta in mobili rigido
movetur in aliqua recta; sed ettlum lineae sunt
circulares aut helices cylindricae aequales et similes;
ut cum circumferentia circuli aut helix cylindrica
mobili nsculpta in aliqua circumferentia crculari
rigido
aut helice cylindrica, fixa movetur, ubi omnia puncta mobilis
aequae distantia ab axe circulationis similes et
aequales lineas describunt. Itaque omnis linea vel portio
in superficie cylindri sic movetur. In mobili rigido
lge
sufficit omnia puncta ets dciber
par rectas describere parallelas, ut describant
aequales vel contra. Et in eodem si tria puncta non
in eandem rectam cadentia, ve imo duo etiam
siqua est
puncta non cadentea in rectam communem
motus ipsorum, moveantur in rectis parallelis
omnia puncta moventur in iisdem; et hic motus
mobilis  ipsius dicitur rectilineus.
sole eitaeraturlcirca
arcus circulati
ayere ut quolibet punctum ac circa axem
ae
describant dia  propantionales nsantii
aequeititers etens
hoc
et idem est spatium
motu designatum seu o
imo suticil. describere
ras