Schott, Gaspar Mechanica Hydraulicopneumatica 1657

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<arrow.to.target n="fig45"/><lb/>
&longs;exti Euclid. aut per Propo&longs;it. 6. Paret&shy;<lb/>
gi citati; &amp; in G fiat foramen, (quod <lb/>
&longs;i fieri nequit, Problema e&longs;t in&longs;olubile.</s> <lb/>
<s>Dico, G e&longs;&longs;e locum foraminis qu&aelig;&longs;iti. </s><lb/>
<s>Quoniam enim aqu&aelig; fluentes per dicta <lb/>
foramina &longs;unt in &longs;ubduplicata ratione <lb/>
altitudinum AC, AG, per Propo&longs;it. 5. <lb/>
hujus capitis; &amp; aqu&aelig; D, &amp; E &longs;unt pa&shy;<lb/>
riter in &longs;ubduplicata ratione dat&aelig; altitu&shy;<lb/>
dinis AC, &amp; inveniend&aelig; altitudinis, per <lb/>
eandem Propo&longs;itionem 5. hujus capitis; &longs;equitur aquas fluen&shy;<lb/>
tes per dicta foramina C &amp; G, e&longs;&longs;e ut aquas D &amp; E. </s></p>

<figure id="id.051.01.199.1.jpg" xlink:href="schot_mecha_051_la_1657/051-01-figures/051.01.199.1.jpg"/> <p type="main"> <s><emph type="center"/>Propo&longs;itio XIV. Problema IX.<emph.end type="center"/></s></p>

<p type="main"> <s><emph type="center"/>Dato foramine, aptare in eodem va&longs;e aliud datum &longs;i&shy;<lb/>
mile, magnitudinis diver&longs;&aelig;, &agrave; quo aqua fluens cum <lb/>
fluente &agrave; primo, habeat rationem datam.<emph.end type="center"/></s></p>

<figure id="id.051.01.199.2.jpg" xlink:href="schot_mecha_051_la_1657/051-01-figures/051.01.199.2.jpg"/> <p type="main"> <s>IN va&longs;e AB, datum &longs;it foramen C, &amp; <lb/>
aliud ad&longs;ignatum D &longs;imile, &longs;ed diver&shy;<lb/>
&longs;&aelig; magnitudinis, &longs;ive majoris, &longs;ive mi&shy;<lb/>
noris; ratio ver&ograve; aquarum data &longs;it E, F. </s><s><lb/>
Aptandum &longs;it foramen D ad&longs;ignatum <lb/>
e&acirc; lege, ut aqua per illud fluens, cum <lb/>
aqua fluente ex C, &longs;it ut E ad F. </s><s><lb/>
Super horizontali ducta CG, fiat fora&shy;<lb/>
men G, &aelig;quale foramini D; &amp; perqui&shy;<lb/>
ratur ratio aquarum fluentium per C <lb/>
&amp; G, per Propo&longs;it. 8. hujus capitis, &amp; <lb/>
&longs;it ut E ad H. </s><s>Qu&aelig; &longs;i e&longs;t eadem qu&aelig; <lb/>
e&longs;t inter E &amp; F, habemus intentum: <lb/>
Sin min&ugrave;s, fiat aliud foramen infra aut <lb/>
&longs;upra G, ei &longs;imile &amp; &aelig;quale, &agrave; quo <lb/>
fluat aqua, qu&aelig; cum fluente ab ip&longs;o G <lb/>
habeat rationem ut H ad F, &amp; &longs;it I, <lb/>
Quod &longs;i fieri nequit, Problema e&longs;t in-