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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 33, page id 797435492:0241
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L F C T. LV.
per AC vel PM. C vel, quod eodem recidit, dico quod relocitas
puncti descendentis in M ad velociratem qua Fertur recta AL se
habet, nE recta YP ad P M.) Sumatur enim ubiris in targence
punctum aliquod R, e per ipsum ducatur recta R G, CUrVX OCCUr-
rens in O, parallelis aute AZ, _ P C in D, e C. Ft quia
tangens PM duplici concipiatur uniformi motu descripta, altero
rectae TZ per A C vel P M Parallelus delatae, altero puncti descen-
dentis a T Dex TZ; e lic horum motuum alter Per A C, vel
PM communis vel idem cum illo quo curra describitne; cium TZ
est in sITI R C, erit A Z in eodem; ergo cum punctum à I descendens
tuerit in K, erir punctum ab A descendens in curra Cum R C5 in-
terlectione O (nec enim, ut antea deductum est, alibi recta R C
curram secar) est autem punctum O intra R quia tansenS CxEra CUE-
ra toca vertatur. Jam si punctum R ponatur supra contactum
vertus T, quoniam cum OC minor est quam RC, liquet velo-
cicarem purcti descendenris, quo curra describitur, in CurrX puB
Ato Ominorem esse velocirare motus uniformis descendentis, qua
tansens efficitur; quoniam illa semper increscens eodem tempore
(per CM reprXsenEaTO) minus spatium cransigit, quam haec mi-
nime crescens; ast eadem continuo persererans; illa scilicet rectam
OO HXC rectaI R C conticit. Contra vero (I punctum R infra
contactum ad parres S exictat, quoniam OC cum major est quam
RC, Patet relocitatem puncti descendentis, quo curra fic, in pun-
ato Omajorem ede relocitare motus uniformis itidem descenden-
tis, quo rangens efficitur; quia motus ilte, continuo decrescens
eodem per GM cempore, majus perasit sparium OO, quam hic
minime decrescens, at in eodem cenore pertistens, conticie, ip. Pif. 20.
sum nempe spatium RC. Ersocum velociras curram describentis
puneti quoris in currae puncto supra concactum vertus A minor (IE
velocitate mOtuS per TP; quovis autem in puncto intra contactum
eadem major; liquet in iplo ConaCtu M ei PenituS exXgnari
L. P. D.
ZII Fujus conversa, consimili discurtu, rem brerius exponendo,
demonstretur. Nempe, si velocitas, puncti descendenris ab A in a-
liguo curra puncto M aequetur velocirari, qua punctum. T uni-
tormirer larum, rectam l P. describeret rempore PM vel AC
(vel sic relocitas morus descendentis ad M ad relocitatem morus
cran(versI, ut TP ad P M ) recta TMS CUTTaI AMO can-
8et ad M.
LI able