Fabri, Honoré Tractatus physicus de motu locali 1646
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eo modo quo diximus, &amp; violento retardato; </s> <s id="N1AED0"><!-- NEW -->igitur linea e&longs;t curua; dixi <lb/>
in medio libero, c&ugrave;m in plano duro horizontali per lineam rectam pro&shy;<lb/>
iici po&longs;&longs;it. </s> </p>

<p id="N1AED8" type="main"> <s id="N1AEDA"><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 45.<emph.end type="center"/></s> </p>

<p id="N1AEE6" type="main"> <s id="N1AEE8"><!-- NEW --><emph type="italics"/>Hinc funis ten&longs;us, cuius &longs;cilicet vtraque extremitas immobiliter affixa e&longs;t, <lb/>
nunquam e&longs;t rectus, &longs;ed inflectitur<emph.end type="italics"/>; </s> <s id="N1AEF3"><!-- NEW -->ratio e&longs;t, quia haud dubi&egrave; grauitat, igi&shy;<lb/>
tur incuruatur; vtr&ugrave;m ver&ograve; faciat Parabolam h&aelig;c linea curua, vt vult <lb/>
Galileus, examinabimus in libro de lineis motus. </s> </p>

<p id="N1AEFB" type="main"> <s id="N1AEFD"><emph type="center"/><emph type="italics"/>Scholium.<emph.end type="italics"/><emph.end type="center"/><!-- KEEP S--></s> </p>

<p id="N1AF09" type="main"> <s id="N1AF0B"><!-- NEW -->Ob&longs;eruabis funem ten&longs;um &longs;emper incuruari, ni&longs;i fort&egrave; ex maxima tra&shy;<lb/>
ctione &longs;uam flexibilitatem amittat, cuius ope tant&ugrave;m curuatur, im&ograve; ita <lb/>
tendi pote&longs;t, vt ten&longs;ioni cedens frangatur: Equidem po&longs;ito quod vel in&shy;<lb/>
flecti po&longs;&longs;it, vel reduci, nece&longs;&longs;ari&ograve; inflectetur in medio, vt ben&egrave; demon&shy;<lb/>
&longs;trat Galileus in dialogis, no&longs;que infr&agrave; ad potentiam vectis reducemus, <lb/>
ne multiplicemus figuras. </s> </p>

<p id="N1AF19" type="main"> <s id="N1AF1B"><emph type="center"/><emph type="italics"/>Theorema<emph.end type="italics"/> 46.<emph.end type="center"/></s> </p>

<p id="N1AF27" type="main"> <s id="N1AF29"><!-- NEW --><emph type="italics"/>Hinc ducitur optima ratio, cur proiectum per lineam horizontalem, v.g.pi&shy;<lb/>
la &egrave; tormento explo&longs;a, vel &longs;agitta arcu emi&longs;&longs;a per plura &longs;ecunda minuta mo&shy;<lb/>
ueatur in medio a&euml;re antequam terram attingat<emph.end type="italics"/>; </s> <s id="N1AF36"><!-- NEW -->quod plu&longs;qu&agrave;m mille ex&shy;<lb/>
perimentis comprobatum e&longs;t; </s> <s id="N1AF3C"><!-- NEW -->plura leges apud Mer&longs;ennum, v. <!-- REMOVE S-->g. <!-- REMOVE S-->&longs;it tor&shy;<lb/>
mentum horizonti parallelum extans &longs;upra horizontem tribus pedibus; </s> <s id="N1AF46"><!-- NEW --><lb/>
certum e&longs;t &longs;patium illud trium pedum confici &agrave; globo perpendiculariter <lb/>
demi&longs;&longs;o tempore 30. tertiorum; </s> <s id="N1AF4D"><!-- NEW -->c&ugrave;m tamen explo&longs;us per lineam hori&shy;<lb/>
zontalem terram tant&ugrave;m attingat po&longs;t 4. &longs;ecunda, ide&longs;t 240. tertia; </s> <s id="N1AF53"><!-- NEW -->ita <lb/>
Mer&longs;ennus l.2. de motu Prop. vltima, im&ograve; l. <!-- REMOVE S-->5. &longs;u&aelig; ver&longs;ionis art.5. con&shy;<lb/>
tra Galileum o&longs;tendit glandem emi&longs;&longs;am &egrave; tormento minori conficere <lb/>
75. exapedas, tempore vnius &longs;ecundi minuti in linea, qu&aelig; par&ugrave;m decli&shy;<lb/>
nat ab horizontali; </s> <s id="N1AF61"><!-- NEW -->atqui tempore vnius &longs;ecundi minuti conficit 2.exa&shy;<lb/>
pedas in perpendiculari deor&longs;um; </s> <s id="N1AF67"><!-- NEW -->igitur deberet glans infr&agrave; &longs;copum de&shy;<lb/>
&longs;cendere notabiliter, id e&longs;t, toto 12. pedum interuallo, c&ugrave;m tamen vix <lb/>
tantill&ugrave;m aberret &agrave; &longs;copo 1.Idem Mer&longs;ennus habet in Bali&longs;tica Prop.25. <lb/>
globum &egrave; maiore tormento horizonti parallelo emi&longs;&longs;um in a&euml;re tractu <lb/>
continuo vola&longs;&longs;e toto tempore 8. &longs;ecundorum, antequam planum hori&shy;<lb/>
zontale attigi&longs;&longs;et, c&ugrave;m tamen &longs;ex tant&ugrave;m exapedis tormentum extaret <lb/>
&longs;upra horizontem; </s> <s id="N1AF77"><!-- NEW -->alter globus ex alio tormento explo&longs;us 6. tantum &longs;e&shy;<lb/>
cunda in a&euml;re con&longs;ump&longs;it; </s> <s id="N1AF7D"><!-- NEW -->im&ograve; bombardarum globi aliquando tota 14. <lb/>
&longs;ecunda po&longs;uerunt; </s> <s id="N1AF83"><!-- NEW -->habet idem Mer&longs;ennus alia plura, quorum fides &longs;it <lb/>
penes authores &agrave; quibus accepit; </s> <s id="N1AF89"><!-- NEW -->nam vt dicam quod res e&longs;t vix accu&shy;<lb/>
rat&egrave; minima illa tempora metiri po&longs;&longs;umus; </s> <s id="N1AF8F"><!-- NEW -->quidquid &longs;it, ex illis &longs;altem <lb/>
euinco mobile projectum per horizontalem pl&ugrave;s temporis in&longs;umere in <lb/>
&longs;uo fluxu, quam &longs;i ex eadem altitudine perpendiculariter demittatur; vt <lb/>
vult Galileus; </s> <s id="N1AF99"><!-- NEW -->cuius ratio alia non e&longs;t ab ea, qu&agrave;m &longs;upr&agrave; indicauimus, <lb/>
qu&ograve;d &longs;cilicet motus naturalis min&ugrave;s cre&longs;cat in motu mixto qu&agrave;m in na-