mur; <expan abbr="Deo&qacute;">Deoque</expan>; Optimo Maximo laudes debitas concinimus. </s> <s id="s.002370">Mechanica pra&shy;<lb/>
ctica, cuius ope ingentia pondera, vel exigua vi, <expan abbr="inuita&qacute;">inuitaque</expan>; natura &longs;u&longs;q; <expan abbr="de&qacute;">deque</expan>; <lb/>
commouentur. </s> <s id="s.002371">Per&longs;pectiua, qu&aelig; Pictoribus, &amp; Architectoribus adeo in&longs;er&shy;<lb/>
uit, vt <expan abbr="ab&longs;q;">ab&longs;que</expan> ea nihil ferm&egrave; audeant. </s> <s id="s.002372">A&longs;tronomia tandem, &longs;i in praxim de&shy;<lb/>
ducatur, ex vna &longs;olum eclyp&longs;ium pr&aelig;dictione, quantam vniuer&longs;o orbi ad&shy;<lb/>
mirationem parit? </s> <s id="s.002373">mitto hanc &longs;olam dierum, men&longs;ium, &amp; annorum di&longs;tri&shy;<lb/>
butionem, ac temporum emendationem exhibere, rem ade&ograve; Reipublic&aelig; <lb/>
Chri&longs;tian&aelig; nece&longs;&longs;ariam.</s> </p>

<p type="main"> <s id="s.002374"><arrow.to.target n="marg197"/></s> </p>

<p type="margin"> <s id="s.002375"><margin.target id="marg197"/>206</s> </p>

<p type="main"> <s id="s.002376">Eodem tex. <!-- REMOVE S-->3. &lpar;<emph type="italics"/>Item &amp; in c&aelig;teris 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/>
qu&ograve;d inuentio medi&aelig;<emph.end type="italics"/>&rpar; 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.002377"><arrow.to.target n="marg198"/></s> </p>

<p type="margin"> <s id="s.002378"><margin.target id="marg198"/>207</s> </p>

<p type="main"> <s id="s.002379">Tex. 8. &lpar;<emph type="italics"/>Si enim in hoc differret &longs;olum Geometria &agrave; Geod&aelig;&longs;ia, quod h&aelig;c quidem <lb/>
eorum e&longs;t, qu&aelig; &longs;entimus, illa ver&ograve; non &longs;en&longs;ibilium e&longs;t<emph.end type="italics"/>&rpar; Geod&aelig;&longs;ia e&longs;t pars Geo&shy;<lb/>
metri&aelig; practic&aelig;, ea &longs;cilicet, qu&aelig; circa diui&longs;ionem &longs;uperficierum ver&longs;atur. <lb/>
</s> <s id="s.002380">audi Pedia&longs;mum de men&longs;uratione: Terr&aelig; inquit men&longs;uratio in duas partes <lb/>
diuiditur, Geometriam &longs;cilicet, &amp; Geod&aelig;&longs;iam: Are&aelig; <expan abbr="namq;">namque</expan> &longs;ecundum ar&shy;<lb/>
tem men&longs;uratio, &amp; terr&aelig; men&longs;uratio e&longs;t, &amp; merit&ograve; Geometria vocatur. <lb/>
</s> <s id="s.002381">Vnius ver&ograve;, &amp; eiu&longs;dem are&aelig;, &longs;eu loci diui&longs;io inter diuer&longs;as per&longs;onas, parti&shy;<lb/>
tio qu&aelig;dam e&longs;t terr&aelig;, &amp; iure optimo Geod&aelig;&longs;ia appellatur. </s> <s id="s.002382">h&aelig;c ille. </s> <s id="s.002383">dicitur <lb/>
autem Geod&aelig;&longs;ia &agrave; <foreign lang="greek">gea</foreign>, terra, &amp; <foreign lang="greek">da/iw</foreign>, diuido. </s> <s id="s.002384">Vocabulum tamen i&longs;tud Geo&shy;<lb/>
d&aelig;&longs;i&aelig; fuit po&longs;tea ad latiorem tran&longs;latum &longs;ignificationem: extat enim Geo&shy;<lb/>
d&aelig;&longs;ia Heronis Mechanici antiqui &longs;criptoris, quampridem Baroccius lati&shy;<lb/>
nitate donauit, qu&aelig; 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&shy;<lb/>
cultatem, &longs;eu per lineas vi&longs;uales doceat inue&longs;tigare.</s> </p>

</chap> <chap> <p type="head"> <s id="s.002385"><emph type="italics"/>Ex Quarto Metaphy&longs;ic&aelig;.<emph.end type="italics"/><!-- KEEP S--></s> </p>

<p type="main"> <s id="s.002386"><arrow.to.target n="marg199"/></s> </p>

<p type="margin"> <s id="s.002387"><margin.target id="marg199"/>208</s> </p>

<p type="main"> <s id="s.002388">Tex. 4. <emph type="italics"/>&lpar;Philo&longs;ophus <expan abbr="namq;">namque</expan> e&longs;t, vt ille, qui Mathematicus dicitur, &amp; <lb/>
h&aelig;c enim habet partes: ac prima qu&aelig;dam, &amp; &longs;ecunda &longs;cientia e&longs;t: c&aelig; <lb/>
ter&aelig; <expan abbr="quoq;">quoque</expan> con&longs;equenter in mathematibus<emph.end type="italics"/>&rpar; inter mathematicas pri&shy;<lb/>
m&aelig; &longs;cienti&aelig; &longs;unt Geometria, &amp; Arithmetica, quia ip&longs;&aelig; &agrave; c&aelig;teris <lb/>
nulla ratione dependent; im&ograve; c&aelig;ter&aelig; ip&longs;is innituntur, qu&aelig; &longs;ecund&aelig; hoc lo&shy;<lb/>
co appellantur, h&aelig; &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 ver&ograve; &longs;ecundas &longs;ubalternatas vocant. <lb/>
</s> <s id="s.002390">Exempla &longs;ubalternationum varia attuli in Logicis tex. <!-- REMOVE S-->20. &amp; 23. primi Po&shy;<lb/>
&longs;ter. <!-- REMOVE S-->vbi clar&egrave; licet intueri quid &longs;it &longs;ubalternatio, vnde etiam pr&aelig;&longs;ens lo&shy;<lb/>
cus illu&longs;tratur.</s> </p>

<p type="main"> <s id="s.002391"><arrow.to.target n="marg200"/></s> </p>

<p type="margin"> <s id="s.002392"><margin.target id="marg200"/>209</s> </p>

<p type="main"> <s id="s.002393">Tex. 28. &lpar;<emph type="italics"/>Vti diametrum commen&longs;urabilem e&longs;&longs;e<emph.end type="italics"/>&rpar; legenda &longs;unt ea, qu&aelig; libro <lb/>
primo Priorum, &longs;ecto 1. cap. 23. de hac commen&longs;urabilitate, &amp; incommen&shy;<lb/>
&longs;urabilitate tractata &longs;unt.</s> </p>

</chap>