at uero cum in concauam partem incidit retineri nece&longs;&longs;e e&longs;t: atque ita <lb/>
pondus non amplius de&longs;cendit, rota &longs;i&longs;titur, malleus manet immo&shy;<lb/>
bilis: &longs;patia ergo qu&aelig; &longs;unt inter cauitates &longs;unt &longs;ecundum magnitu&shy;<lb/>
dinem proportionis numer&oacute;rum <expan abbr="horar&utilde;">horarum</expan>, uel ad &longs;ex, uel ad duode&shy;<lb/>
cim, uel ad uiginti &shy;<lb/>
<figure id="id.015.01.176.1.jpg" xlink:href="carda_propo_015_la_1570/015-01-figures/015.01.176.1.jpg"/><lb/>
quatuor terminan&shy;<lb/>
tium. </s> <s id="id002753">Ita quod, gra&shy;<lb/>
tia exempli, &longs;it iam <lb/>
in cauitate a duode&shy;<lb/>
cim&etail; hor&aelig; uncus, di<lb/>
uidam circulum to&shy;<lb/>
tum in duas partes <lb/>
&aelig;quales, quia in &longs;in <lb/>
gulis medietatibus <lb/>
propo&longs;itum e&longs;t, duo<lb/>
decim facere cauita&shy;<lb/>
tes pro unco retinen&shy;<lb/>
do. </s> <s id="id002754">Et quia in una&shy;<lb/>
quaque medietate o&shy;<lb/>
portet, ut pul&longs;ent ho<lb/>
r&aelig; lxxviij, &amp; pr&aelig;terea &longs;int ibi &longs;ex &longs;patia cauitatum, quarum &longs;ingul&aelig; <lb/>
contineant, gratia exempli, duo &longs;patia unius ictus, ut certius retinea <lb/>
tur uncus, <expan abbr="er&utilde;t">erunt</expan> igitur &longs;patia omnia nonaginta: diuidemus ergo me&shy;<lb/>
dietatem circuli utranque in nonaginta partes &aelig;quales incipiendo <lb/>
ab a, &amp; dabimus b prim&aelig; hor&etail; quod &longs;patium e&longs;t unius tantum par<lb/>
tis ex nonaginta, po&longs;t de&longs;cribemus c cauitatem duarum partium, <lb/>
ita ubi ictum unum dederit uncus, retinebitur in c, p&ograve;&longs;t accipiemus <lb/>
duo &longs;patia, &amp; &longs;int &longs;ignificata d litera, po&longs;t qu&etail; faciemus cauitatem e: <lb/>
&amp; ita uncus bis cadet in d, &amp; pul&longs;abunt duo ictus, &amp; p&ograve;&longs;t retinebi&shy;<lb/>
tur uncus in e. </s> <s id="id002755">Et po&longs;t accipiam &longs;patium trium partium, quod &longs;it f, <lb/>
&amp; po&longs;t de&longs;cribam cauitatem g duarum partium, atque ita procedam <lb/>
u&longs;que ad duodecim.</s> </p>

<p type="main"> <s id="id002756">Ex quo manife&longs;tum e&longs;t pondus quod agit rotam uol&aelig; non de&shy;</s> </p>

<p type="main"> <s id="id002757"><arrow.to.target n="marg525"/><lb/>
&longs;cendere, ni&longs;i dum hor&aelig; pul&longs;ant, &longs;ecus quie&longs;cere.</s> </p>

<p type="margin"> <s id="id002758"><margin.target id="marg525"/>C<emph type="italics"/>or<emph.end type="italics"/>^&lcub;m}. 1.</s> </p>

<p type="main"> <s id="id002759">Secundum, qu&ograve;d de&longs;cendit illud pondus plus &amp; minus, iuxta <lb/>
<arrow.to.target n="marg526"/><lb/>
proportionem numeri horarum, ita quod quando pul&longs;abit una ho <lb/>
ra parum ualde de&longs;cendet, cum &longs;ex hor&aelig; &longs;excuplo magis, cum duo&shy;<lb/>
decim adhuc long&egrave; magis, id e&longs;t duplo plus qu&agrave;m cum pul&longs;ant <lb/>
&longs;ex hor&aelig;.</s> </p>

<p type="margin"> <s id="id002760"><margin.target id="marg526"/>C<emph type="italics"/>or<emph.end type="italics"/>^&lcub;m}. 2.</s> </p>

<p type="main"> <s id="id002761">Secunda con&longs;tructio hanc habet rationem: Cum n rota indicis <lb/>
coniuncta fuerit rot&aelig;, qu&aelig; transfert malleum, nece&longs;&longs;e e&longs;t ut un&agrave; fe&shy;