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# Title: Leibniz-Handschriften zur Mechanik: Dynamika LH 37, 5
# Folio 175r, page id 00068534:0345
# Scan: One image of two folio pages side by side, registered by the library under both labels (also fol. 174v); this page is its right half.
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=00068534&page=345
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 65 lines, status machine
# Lines: 65 recognised, mean confidence 0.91
# 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.

semper angulo.
recta u
motiest quaisdferatu
nonaquabiamo C, eodem
ascent
dent in
a ine nteo galteer fertur i e in ipsa AB
rprua ejus D npo
(id est, ut Espatiorum jnere percursorum merementa
A. B. A2B, A3B, et c. incrementa r t
1B.B. 2BB sint ut tempor interea autem cum e
recta Cd aequalititer crescat; ita (id est ut
sit sint incrementa ipsius seu ex 2E0d. 3E3D, ut
tempore quibus per incrementa temporum e (ad est
nunt
aepercurrist
inerementa ipsius 2E2d, 3E3d differentiae scilicet
inter, Cod et 2C2d, item inter 2C2d et 3C3
ut incrementa temporis, seu ut inerementa spatiorum
perenasorum, seu ut 1B2B. 2B3B
D a qua parte crescit cadent in rectam senut 1D
sunt ergo triangula, 1d2E7d, 2D3E3d similia
ergo et similia erunt triangula A. B. d, A2B2D, A3B3d
seu erit AidV D3d. recta. .ster idem erit si interedum
si mobile recta Cd Cata fertur super AB, mobile
aliquod in ipsa recta Cd descendat pro aequabiliter
super recta CD ex id in 2d ex Ld in 3d. linia
enim quam percunet erit recta
Generaliter ipsam AB quamcumque vocabimus
abscissum, BD ordinatam quaecunque demun sit linea
AD Quare si  regula CD aequabiliter mota
regi
petuo
interea per AB mobile in ea interea moveatur
motu inaequabili sic ut incrementa semper fiant
majura vel minora velocit continne, crescat
vel decrescat, ac proinde et incrementa ipsius cD
fiant continue majora vel minora quam ante
tunc mobile nunquam describet partem rectae, sed
semper lineam curvam, in plano duarum rectarum
AB et D) existentem. Spatium percursum AB
vocetur abscissa ipsa vero B(D) vel D) portio
regulae a mobili percursa, vel quousque regula CD
durante motu crevit per AB ipsamet interim crevit
enetur ordinata. Describatur etiam alia linea
FE2E3E4E ejus naturae ut spatia AIB.E, AIB1E, erc.
sint ordinatis prioris lineae 1B 1(D) 2B2(D), etc.
proportionalia, erunt jncremenea ordinatarum
2) ordinatas
iptas B(D) etinm crescere ut saptia BtC AB(C)
manifestum est
rescere in telligantur
ostenocadum es esse 2(3L p Y) si sit 2B3 L. p 2 B 2L
Ergo 2L 2C) occuroit ipsi 3B3L
inter 3B et 3L. Rmsus iL3L est extra curvum t
sit rgo 3B3t p 2B1
ta
figurum . L1BZB3LiL ergo occurrit ipsi 2B1L productae
seu et cadet intra 2B er R.
AB(C)
sunt ordinatae  ad ipsum B(C) si spatia per
incrementa autem spatioumm
per singula momenta
au
s