Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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ARCHIMEDIS
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ſuperficiem recto, ſit portionis ſectio anzg; </
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<
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xml:space
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humidi ez: </
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xis portionis,
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& </
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<
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meter b d: </
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turq, b d in pũ-
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ctis _K_r, ſicuti
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prius; </
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<
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xml:space
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">& </
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<
s
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xml:space
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">duca-
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tur n l quidem
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ipſi e z æquidi-
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ſtans, quæ con-
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tingat ſectionẽ
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a n z g in n; </
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xml:space
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<
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<
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n t æquidiſtans
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ipſi b d; </
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<
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ro ad b d perpẽ
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dicularis. </
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</
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<
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">quoniam portio ad humidum in grauitate eam proportio
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nem habet, quam quadratum, quod fit à linea ψ ad quadra
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tum b d: </
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<
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xml:space
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">quod ſimiliter demonſtrabi
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tur, ut ſuperius. </
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<
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">quare & </
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<
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xml:space
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">n t eſt æqualis ipſi u i. </
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<
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xml:space
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">portiones
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igitur a u q, e n z inter ſe ſunt æquales. </
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<
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xml:space
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">Et cum in æquali-
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bus, & </
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<
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">ſimilibus portionibus a u q l, a n z g ductæ ſint a q
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e z, quæ æquales portiones auferunt; </
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<
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xml:id
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">illa quidem ab extre
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mitate baſis; </
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<
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ciet acutum angulum cum portionis diametro, quæ ab ex-
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tremitate baſis ducitur. </
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<
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">At triangulorum n l s, u ω c angu
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lus ad l angulo ad ω maior eſt. </
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<
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xml:space
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">ergo b s minor erit, quam
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b c: </
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xml:space
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<
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">ſ r maior, quàm c r: </
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">ideoq; </
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<
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">n χ maior, quam u h; </
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xml:space
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<
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<
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χ t minor, quàm h i. </
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">Quoniam igitur u y dupla eſt ipſius
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y i; </
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<
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">conſtat n χ maiorem eſſe, quàm duplã χ t. </
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<
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ipſius m t. </
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<
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portionẽ; </
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<
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ciem humidi: </
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