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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 30, page id 797435492:0238
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da
I. Hloc modo (per motum nempe transvertum unitormem, e
delcentirum continuo crescentem) progenira linea per omnes lui partes
curra eradet. I) Accipiantur enim in ipsa eria qualiber puncta M,
H, O; per qua transeane BZ, CZ, DL ad AZ parallele, _ per
puncta M, H ducatur recta M N R. Et quia recta M N gignitur e
motu compolito tranverso per BC (vel huic parallelam M C) e
descendente per AZ, unitormi vexoque; transverus autem Per MC
est prorlus idem cum transverso, quo linea provolita M NO de-
scribitur; Paret relocirarem descendentis motus uniformis rectam M N
gionentis minorem esse relocitare, quam motus icidem descendens,
lincam M NO describens, habet in  (crenim nisi morus hic velo-
cior jam sic illo, cum continuo crescere ponatur, in tOTOTeMPOTC
descensus per C H illo cardior fuisset, adeoque nunquam eodem cem-
pore spatium xequale cransegisser, nec una cum eo perrisisset ad
punctum N) ergo morus hic inxqualis e increscens per tempus
motus uniformis CD continuatus (quo nempe signitur linea NO
majus spacium emetitur, quam unitornis motus descendens, quo
MN. ad R procractus delcribitur, eodem tempore CD; (liquet
enim eodem tempore a majore ri crelcente majus sparium peragi, quam
a minore neuliquam crescente) quare linea IIO major est quam HK:
adeoque eria puncta M, N, O non existunt in eadem recta linca:
quod cum rribus quibulris linexe MNO punctis conveniat, abunde
Datet eam esse nullibirectam, sed per omnes sui partes incurratam, e
inAexam.
TI. Tlinc emersir Corollarium; velocitas motus unitormis descen-
denris, quo currX M N O Tubrenta quaeris (ut MI N) deseribitux;
existente scilicet communi cransrerso motu unitormi quo ipla, ejusque
arcus fiune, minor est relocirare, quam motus descensivus increscens
hrabet ad communem ueriusque terminum H.
III. Hujusce curra subtensa quaelibet (UE MO) intra suum arcum
(VertUS ParteS AZ) tora cadit, ec producta tora cadit extra lineam
HNO
Nam Si Suatur iR arCu MIO punctum quodvis NI, _ COnReCtANtUE
reCtA M N, NVO LIGUEE FOTAM MO intra rectas MN, NO jacere
ec proinde intra curram MNO. Pota vero, sI producatur, extra
lineam M. VO cadit, quia nusquam alibi ei occurrit, uri mox osten sum.)
Hoc accidens de circulo speciarim demonAtrar Enclodes, de sectionibus
IV. Patei
conicis Apollonins; de eylindrieis Serens.
FiS. 19
EIom. ITI. 2.
Apoll. L.
Seren. I. 8
1