quæ &longs;upera&longs;truantur in &longs;olido acquie&longs;cant. </s> <s id="N40B541">Non erit <expan abbr="solid&utilde;">solidum</expan> <lb/>
&longs;i perpendiculum a pede &longs;uperimpo&longs;iti lapidis <expan abbr="cad&etilde;s">cadens</expan> &longs;ub &longs;e <lb/>
aerem atque <expan abbr="&imacr;teruacuum">interuacuum</expan> inuenerit. </s> <s id="N40B556">Idcirco cum <expan abbr="excauar&etilde;t">excauarent</expan> or<lb/>
biculorum canales cauere ne <expan abbr="&longs;upa&longs;tru&etilde;darum">&longs;upera&longs;truendarum</expan> <expan abbr="perp&etilde;dicula">perpendicula</expan> i&longs;tic <expan abbr="&imacr;">in</expan> <lb/>
fodiendo attingerent. </s> <s id="N40B56D">Thori prominebunt ex dimidia &longs;uæ <lb/>
cra&longs;&longs;itudinis adiecta parte octaua. </s> <s id="N40B572">Tum et thori cra&longs;&longs;ioris <lb/>
ampli&longs;&longs;imus circulus perpendiculo &longs;ui æquabit extremam <lb/>
in ba&longs;i <expan abbr="lineã">lineam</expan> lata&longs;tri. </s> <s id="N40B57D">Hæc Dorici. </s> <s id="N40B581">Ionici <expan abbr="quid&etilde;">quidem</expan> cra&longs;&longs;itudi<lb/>
nem doricam probauere: &longs;ed orbiculos <expan abbr="ingeminar&utilde;t">ingeminarunt</expan>: medi<lb/>
o&longs;que duos anulos inter orbiculos adiecere. </s> <s id="N40B590">Itaque ba&longs;es altas <lb/>
ex &longs;emidiametro imæ <expan abbr="col&utilde;næ">columnæ</expan> <expan abbr="effecer&utilde;t">effecerunt</expan>: eamque altitudinem <lb/>
diui&longs;ere in partes quattuor: <expan abbr="unãque">unamque</expan> ex his dedere cra&longs;&longs;itudini <lb/>
lata&longs;tri. </s> <s id="N40B5A5">Atqui latitudini <expan abbr="quid&etilde;">quidem</expan> lata&longs;tri ex hi&longs;ce ip&longs;is quar<lb/>
tis dedere <expan abbr="undec&imacr;">undecim</expan>. </s> <s id="N40B5B2">Fuit <expan abbr="igi&ttilde;">igitur</expan> tota cra&longs;&longs;itudo ba&longs;is quattuor: <lb/>
latitudo <expan abbr="a&utilde;t">aut</expan> undecim. </s> <s id="N40B5BF">Con&longs;cripto lata&longs;tro <expan abbr="reliqu&utilde;">reliquum</expan> altitudi<lb/>
nis diui&longs;ere in partes <expan abbr="&longs;ept&etilde;">&longs;eptem</expan>: atque ex his duas dedere cra&longs;&longs;itu<lb/>
dini imi thori: et rur&longs;us quod præter thorum et <expan abbr="lata&longs;tr&utilde;">lata&longs;trum</expan> e&longs;&longs;et <lb/>
cra&longs;&longs;itudinis relictum diui&longs;ere in partes tris: ex quibus <expan abbr="&longs;&utilde;/mam">&longs;um<lb/>
mam</expan> dedere <expan abbr="&longs;&utilde;mo">&longs;ummo</expan> thoro: duas medias dedere duobus orbi<lb/>
culis duobu&longs;que anulis qui quidem inter utro&longs;que thoros pre&longs;<lb/>
&longs;antur. </s> <s id="N40B5E2">Orbiculorum anulorumque ratio fuit huiu&longs;modi. </s> <s id="N40B5E5"><expan abbr="Nã">Nam</expan> &longs;pa<lb/>
tium quidem <expan abbr="ip&longs;&utilde;">ip&longs;um</expan> quod inter thoros e&longs;&longs;et diui&longs;ere in partes <lb/>
&longs;eptem. </s> <s id="N40B5F5">ex quibus &longs;ingulas &longs;ingulis anulis dedere: reliquas <lb/>
&longs;ibi æquis portionibus orbiculi ad&longs;crip&longs;ere: proiecturas in <lb/>
thoris ea&longs;dem ob&longs;eruarunt / quas et dorici: in orbiculi&longs;que ex <lb/>
cauandis pepercere <expan abbr="perp&etilde;diculis">perpendiculis</expan> &longs;uperadiectarum <expan abbr="parti&utilde;">partium</expan>: &longs;ed <lb/>
nextrulos fecere ex octo &longs;uorum orbiculorum. </s> <s id="N40B608">Alii &longs;ic <expan abbr="execogitac&utilde;t">execo<lb/>
gitacunt</expan> præter <expan abbr="lata&longs;tr&utilde;">lata&longs;trum</expan> <expan abbr="diuidendã">diuidendam</expan> e&longs;&longs;e ba&longs;is cra&longs;&longs;itudinem <lb/>
in partes &longs;exdecim: quas modulos appellamus: ex his tho<lb/>
ro in&longs;imo quattuor: &longs;uperiori thoro tris: orbiculo autem in<lb/>
feriori tris et <expan abbr="dimidi&utilde;">dimidium</expan>: &longs;uperiori utique et tris atque <expan abbr="dimidi&utilde;">dimidium</expan>: <lb/>
duos <expan abbr="aut&etilde;">autem</expan> modulos intermedios anulis <expan abbr="tribu&etilde;dos">tribuendos</expan>. </s> <s id="N40B630">Hæc igi<lb/>
tur lonici. </s> <s id="N40B635">At corynthii ionicam atque <expan abbr="it&etilde;">item</expan> <expan abbr="doricã">doricam</expan> ba&longs;im proba<lb/>
uere : pa&longs;&longs;imque utri&longs;que u&longs;i <expan abbr="&longs;&utilde;t">&longs;unt</expan>. </s> <s id="N40B648">Quin ad opus <expan abbr="col&utilde;nation&utilde;">columnationum</expan>