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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 11, page id 797435492:0219
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# Lines: 42 recognised, mean confidence 0.94
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dait  
singillatim spectantur; nihil reterr quinam angulus Ctatuatur) haec,
inquam, e parallelosrammorum nacura liguent, e ex iis que
poluimus sponte consectantur; ue nullam aliam demonstrationem re-
quirere rideantur. Eit Panc quoad omnes Machematica annite subdicas
Choc estutcunque quanticatem involventes) materias cum magna ta-
cilitate Theoremata perspicere, rum lummo eadem compendio de-
monstrare porerir, quisquis contemplarioni sux subjecta cujuscunque
generis quanta ad analosicas magnitudines rite congruéque novit re-
digere. Duod si porro velocitatis gradus continuo per lingula tempo-
ris instantia supponantur xequalicer adaugeri, vel imminui, a gradu
minimo, seu quiere; detinitum ad velocitaris gradum, vel à detinito
tali gradu ad quietem; consimili pacto poterit asxregata relocitas per
quamvis superticiem aequalirer a puncto crescentem ad detinitam mas-
nicudine lincam; vel eodem retrograde passu decrescentem, exhiberi;
simplicissime vero, _ optime pex triangulum rectilineum; uc puta per
triangulum A F. Y, in quo crus A P rempus denorat; ejusque punctis
applicara linea parallelae BT, CY, DY, F Y praclus velocicatis (in- F15. 1.
sulis instantibus congruos a puncto A. (quod quierem, vel intimam
relocitatem retert) ad detinitum gradum linea maxima F. P reprasen.
tatum aequaliter increscentes; vel ab eadem F Y. rerro ad punctum A
quietis repraelentarirum declinantes. Sed ec pari jure, quo prius,
tricOnA ABY, ACY, ADY, A F Y per respectira ab inicio tem-
pora decursis spatiis repraesentandis inservient. Ft consequenter, (I
relociras xqualicer a detinito gradu ad gradum definitum supponatur
augeri, vel diminui, repraelentabitur tam agoregata velocitas, quam
spacium ei respondens à figura quadrangula Praperia, qualis est C. LPE,
in frgura prius adhibica. Elinc, non secus quam in prxecedentibus, hu-
jusmodi morus quem unitormiter acceleratum nomine perquam apto
Calilens nuncupavic) affectiones omnes praecipux facilime deprehen-
dentur, acque demonstrabuntur; cujusmodisunt: Onod aequalitem-
pore conficietur xquale spatium per motum à quiete unitormiter acce-
leratum, ac per ipsum motum unitormem, modo velocitas hujus sub.
dupla sit relocitaris, quam ille maximam habet. Ouod spatia moru
a quiere uniformiter acceleraro peracta, Pele habene ut Onadrota tem-
porum (vel in duplicata temporum proportione.) Eix diversos hoc
modo acceleratos motus comparando: Ouod ab illis trantacta spatia
habeane rarionem e rationibus temporum, e velocitatum maxima-
rum: EE Cimilia talia vel his connexa, vel inde consequentia, qua
eriansulis conreniunt inter se quoad tuas, e quoad laterum rariones
comparatis; quae ex posiris haud difficile perspiciuntur, ac demon
ArentuT.