# Leibniz Legible — https://leibnizlegible.com
# Page: https://leibnizlegible.com/page/851387705:1020
# Permalink to this reading: https://leibnizlegible.com/page/851387705:1020?run=74
# Title: [Johannis Wallis S. T. D. Geometriae Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica] Johannis Wallis S. T. D. Geometriæ Professoris Saviliani, in Celeberrima Academia Oxoniensi; Opera Mathematica (shelfmarks Leibn. Marg. 100:1/2, Stück 1; Leibn. Marg. 100:1/2)
# Folio 1000, page id 851387705:1020
# Original at the GWLB: https://digitale-sammlungen.gwlb.de/resolve?id=851387705&page=1020
# Source image: https://digitale-sammlungen.gwlb.de/content/851387705/jpgs/default/00001020.jpg
# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 57 lines, status machine
# Lines: 57 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.

De Motibus Compositis, Acceleratis,
C
. L2.
Acelligatur AT T recta, secundum quam, Vi aliqua Morrice, Boa 
mobile, Mocu Aquabili; adeoque, Cuimpris temporibus VCL, 27
tae tonsitudin
1000
FB. 29
298.
ecc. emen
DET PrOP. 26. C aP. 2.
A F, AF, ecc. Ct  Ul L9 23 5347 eu
Acque intelligatur idem Mobile, alia Vi Morrice, impelliu secundum dire.
ctionem AD, mocu aequaliter accelerato; adeoque, sumpris temporibus uE 2, 23
24 ec. ementae lonxicudines AD, AD, Scc. erunt uc 2, 4, 9, 16, ec. corum qua-
drata. Per prOP. 2, 3. hujus.
Si itaque; dum, motu illo, Fertur A mobile, Lonsitudine AF; hoc est, ab
A D ad huic parallelam YO; Feratur, motu hoc, lonsicudine AD; hoc est, ab
A F ad DO; e sic ubique: Frunt ubique A D, AD; hoc est, FO, FO; i
rectarum A F, A. Y; hoc est, DO, DO; ratione duplicata. Adeoque (propter
nacuram Parabola) quae, per omnia O, O, puncta, cransir Curra, (qua elt La
rionis via, urpore in qua mobile semper eric,) cAt Parabola. Ouod demon-
Strandum erat.
Acque hoc perinde obtinet sive ad angulum rectum coeane in A rectX A Y
AD, (utubi A elt vertex AXiS,) sire ad alium quemvis (ut ubi A verrex elt
cujueris alterius diametri: ) Rt quicunque fuerie ucrobique Celeritatis gradus;
hoc elt, quodcunque habeat Parabola illa Lacus Rectum. Onippe semper erune
FO, FO, rectae, in rectarum A F, A T, ratione duplicata; ob naturam Pa-
rabola.
Si verO A GE Vextex AXis, erunt loncirmdines A O, AO, per quas tertur mo-
bile; Spatiis Fyperbolicis, Curra et Conjugaro Axi interjectis, relpectire sumptis
proporrionales. Per ea quae alibin in Practaru De Curvarum tvduisci, demon-
trarimus; ubi de Parabolae Eoduvoci agitur.
Fis. 297 Similicer; politis A P, A P, (pro motu aequabili) in racione Temporum; et
(promotu accelerato in Duplicara rarione Temporum) AD, AD, in carundem
ratione Friplicata, (per Prov. 5. Bujus:) Ostendetur, curram AOO Fore Para-
bolocidem Cuhicalem: PrOpter TO, FO, hoc elt AD, AD, in rectarum AT,
A L, hoc est DO, DO, ratione Priplicata. Quod icidem demonstrandum erat.
Et Currae parciculis AO, AO, plana proporcionalia extibentur, per ea qux
generalicer oltendimus in Schol. DroV. 38. Prithmeticae Insinitorum.
demque aliis Accelerationum speciebus accommodabitus, sumpris Paraboloeidi-
bus aliis, prout res postulaverit.
Incelligantur demum rectae A T, A T, non inipta Temporum ratione, sed (pro
mocu aequaliter acceleratO, Pex prOP. 2. hujus) in Temporum ratione Duplicata;
adeoque Tempora in carundem ratione Subduplicara: Trem rectae AD, AD
(promocu acceleraco in Duplicara ratione temporum) in cemporum ratione Tri
plicata, (Per PrOP. 5. tujus;) adeoque in rectarum A T, A T, racione Subdu-
plicatae. Priplicata. FrIE (propter iltius parabolocidis naturam) CurVa AOO.
parabolocides quam Semi cubicalem appello; cujus Index seu ExponenS FIE Z. (PUca,
in qua rectae AD, AD, hoc ClL, FO, FO; sint in rectarum AI, A T, hoc
est DO, DO, ratione Subduplicate. Priplicata.) Per illam itaque Curram te
recur Mobile, quod Motu ex sic acceleratis compolico Fertur. Quod item erat
demonstrandum.
TiuS auteM CHEVX Partes AO, AO, spatiis Parabolicis proportionales este
demonstratum est in Practatu modo memorato, de Curvarum Fuduvoc, ubi de Cur-
va Semiparaboloeidis Cabiealis axicur, cui aequalem rectam exhibemus.
Fodem