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# Title: [Lectiones XVIII, Cantabrigiae in Scholis publicis habitae] Lectiones XVIII, Cantabrigiæ in Scholis publicis habitæ (shelfmarks Leibn. Marg. 0; ZEN Leibn. Marg. 0)
# Folio 12, page id 797435492:0220
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F18. 20
l ECT.
Areneur. PorrO, non ablimiliter s velociratis gradus continuâ per
lingula remporis inctancia successione, a quiere ad definitum gradum
velrerrograde, crescere concipiantur, aut decrescere juxta progressi-
onem numerorum quadraticorum repraesencatur cum optime velocitas
ageresata, licur _ spatium hujusmodi moru contectum, à comple-
mento Semiparabolae, qualis est A R Z, Cujus vertex A guierem (seu
motus ac temporis initium) tansens A P: rempus detinitum, linea B X
prinium velocitatis accrescentis gradum (qui se haber ue L.) proxima
C X sccundum gradum (haberrem Pe ut 4.) Sublequens D X (qui sc
habet ut 9.) de ita porrousque ad ultimum FZ: Id quod ex norilA
ma parabolx proprietare manifestum est. Eodem plane modo quivis
suppositi relocitatis gradus, urcunque crescentis auc decrescentis.
continuo vel interrupte, quoris, inquam, imasinabili modo per
lineas rectas ad temporis repraetentatricem rectam applicatas certissi-
mo, commodissimoque modo delignari possunt, asterrata quam quis
adlignare voluerit proxortione; lic ue inde cognita sparii repraelen-
tantis dimensione, sparii per mocum contecti quantitas Facilius inno-
relcat; e reciproce, cognita spatii dicti natura velocitatis ac rem-
Poris quanciraribus dignoscendis aliqua lux attulseat: Juxe quidem
Posthac dicendorum intellectui necellaria, corique motuum theorix
non parum uc videtur utilia vilum est paullo fulius exposira prxmittere.
Dua pertunctus opera pedem A∞O.
Iios.
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