<p type="head"> <s><emph type="italics"/>PROPOSITIO XXIII.<emph.end type="italics"/><!-- KEEP S--></s></p>

<p type="main"> <s>Circuli, &amp; Ellyp&longs;is idem e&longs;t centrum grauita&shy;<lb/>
tis, &amp; figur&aelig;. </s></p>

<p type="main"> <s>Sit circulus, vel ellyp&longs;is ABCD, cuius centrum E. <lb/>
<!-- KEEP S--></s> <s>Dico centrum grauitatis figur&aelig; ABCD, e&longs;se punctum E. <lb/>
<!-- KEEP S--></s> <s>Ducantur enim du&aelig; diametri ad rectos inter &longs;e angulos <lb/>
AC, BD; in ellyp&longs;i autem &longs;int diametri coniugat&aelig;. <lb/>
</s> <s>Quoniam igitur omnes rect&aelig; line&aelig;, qu&aelig; in &longs;emicirculo, <lb/>
vel dimidia ellyp&longs;i diametro ducantur parallel&aelig; bifariam <lb/>
&longs;ecantur &agrave; &longs;emidiametro, &amp; quo &agrave; ba&longs;i remotiores, eo &longs;unt <lb/>
<figure id="id.043.01.058.1.jpg" xlink:href="043/01/058/1.jpg"/><lb/>
minores; erit centrum grauitatis &longs;emicirculi, &longs;iue dimidi&aelig; <lb/>
ellyp&longs;is ABC, in linea BE; &longs;icut &amp; &longs;emicirculi, &longs;iue di&shy;<lb/>
midi&aelig; ellyp&longs;is ADC, centrum grauitatis in linea DE. <lb/>
e&longs;t autem BED, vna recta linea: in diametro igitur BD, <lb/>
erit centrum grauitatis circuli, &longs;iue ellyp&longs;is ABCD. <lb/>
<!-- KEEP S--></s> <s>Eadem ratione o&longs;tenderemus idem centrum grauitatis e&longs;se <lb/>
in altera diametro AC: in communi igitur vtriu&longs;que &longs;e&shy;<lb/>
ctione puncto E. <!-- KEEP S--></s> <s>Quod demon&longs;trandum erat. </s></p>