<p type="main">
<s id="s.002376">Eodem tex. <!-- REMOVE S-->3. (<emph type="italics"/>Item & in cæteris tunc &longs;cire vnumquodque arbitramur torum, <lb/>
quorum &longs;unt demonstrationes, cum quid e&longs;t &longs;ciamus, vt puta quid tetragoni&longs;mus, <lb/>
quòd inuentio mediæ<emph.end type="italics"/>) eadem reperies &longs;uperius in &longs;ecundo de Anima, tex. <!-- REMOVE S-->12. <lb/>
fu&longs;ius explicata.</s>
</p>
<p type="main">
<s id="s.002379">Tex. 8. (<emph type="italics"/>Si enim in hoc differret &longs;olum Geometria à Geodæ&longs;ia, quod hæc quidem <lb/>
eorum e&longs;t, quæ &longs;entimus, illa verò non &longs;en&longs;ibilium e&longs;t<emph.end type="italics"/>) Geodæ&longs;ia e&longs;t pars Geo­<lb/>
metriæ practicæ, ea &longs;cilicet, quæ circa diui&longs;ionem &longs;uperficierum ver&longs;atur. <lb/>
</s>
<s id="s.002380">audi Pedia&longs;mum de men&longs;uratione: Terræ inquit men&longs;uratio in duas partes <lb/>
diuiditur, Geometriam &longs;cilicet, & Geodæ&longs;iam: Areæ <expan abbr="namq;">namque</expan> &longs;ecundum ar­<lb/>
tem men&longs;uratio, & terræ men&longs;uratio e&longs;t, & meritò Geometria vocatur. <lb/>
</s>
<s id="s.002381">Vnius verò, & eiu&longs;dem areæ, &longs;eu loci diui&longs;io inter diuer&longs;as per&longs;onas, parti­<lb/>
tio quædam e&longs;t terræ, & iure optimo Geodæ&longs;ia appellatur. </s>
<s id="s.002382">hæc ille. </s>
<s id="s.002383">dicitur <lb/>
autem Geodæ&longs;ia à <foreign lang="greek">gea</foreign>, terra, & <foreign lang="greek">da/iw</foreign>, diuido. </s>
<s id="s.002384">Vocabulum tamen i&longs;tud Geo­<lb/>
dæ&longs;iæ fuit po&longs;tea ad latiorem tran&longs;latum &longs;ignificationem: extat enim Geo­<lb/>
dæ&longs;ia Heronis Mechanici antiqui &longs;criptoris, quampridem Baroccius lati­<lb/>
nitate donauit, quæ quidem ars e&longs;t eadem cum Geometria practica, cum <lb/> non &longs;olum diui&longs;iones, &longs;ed men&longs;urationes omnes etiam per dioptricam fa­<lb/>
cultatem, &longs;eu per lineas vi&longs;uales doceat inue&longs;tigare.</s>
</p>
<p type="main">
<s id="s.002388">Tex. 4. <emph type="italics"/>(Philo&longs;ophus <expan abbr="namq;">namque</expan> e&longs;t, vt ille, qui Mathematicus dicitur, & <lb/> hæc enim habet partes: ac prima quædam, & &longs;ecunda &longs;cientia e&longs;t: cæ <lb/>
teræ <expan abbr="quoq;">quoque</expan> con&longs;equenter in mathematibus<emph.end type="italics"/>) inter mathematicas pri­<lb/>
mæ &longs;cientiæ &longs;unt Geometria, & Arithmetica, quia ip&longs;æ à cæteris <lb/>
nulla ratione dependent; imò cæteræ ip&longs;is innituntur, quæ &longs;ecundæ hoc lo­<lb/>
co appellantur, hæ &longs;unt Per&longs;pectiua, Mu&longs;ica, Mechanica, A&longs;tronomia. <!-- KEEP S--></s>
<s id="s.002389">illas <lb/>
duas recentiores &longs;ubalternantes, has verò &longs;ecundas &longs;ubalternatas vocant. <lb/>
</s>
<s id="s.002390">Exempla &longs;ubalternationum varia attuli in Logicis tex. <!-- REMOVE S-->20. & 23. primi Po­<lb/>
&longs;ter. <!-- REMOVE S-->vbi clarè licet intueri quid &longs;it &longs;ubalternatio, vnde etiam præ&longs;ens lo­<lb/>
cus illu&longs;tratur.</s>
</p>