Valerio, Luca, De centro gravitatis solidorvm libri tres
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              tur DH ad OF erit vt decem ad tria: ſed GC dupla
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              eſt ipſius DH; igitur GC ad FO vt viginti ad tria: ſed
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              quia tripla exiſtente AO ipſius OG, eſt tota AG ipſius
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              AO ſeſquitertia, erit quoque GE, ipſius OF ſeſquiter­
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              tia, propter ſimilitudinem triangulorum AGE, AOF,
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              hoc eſt qualium partium æqualium OF trium, talium GE
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              quatuor; qualium eſt GC hoc eſt BG viginti, talium
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              erit EG quatuor, & EC ſexdecim: dempta igitur EG
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              ex GC, & addita ipſi BG, qualium eſt EC ſexdecim:
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              talium erit BE vigintiquatuor: ſed vt vigintiquatuor ad
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              ſexdecim, ita ſunt tria ad duo, quæ proportio eſt ſeſqui­
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              altera, ſeſquialtera igitur erit BE ipſius EC, oſtenſa eſt
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              autem AF ipſi FE tripla. </s>
              <s>Manifeſtum eſt igitur pro­
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              poſitum. </s>
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              PROPOSITIO XXII.
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              <s>Si duo triangula mixta prædicti generis verti­
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              cem communem habeant, qui eſt contactus, &
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              baſes æquales in eadem recta linea, vel continuas,
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              vel ſegmento interiecto, tota extra ſiguram verſa
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              cauitate; centrum grauitatis compoſiti ex vtro­
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              que eſt pun ctum illud, in quo recta linea à vertice
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              ad bipartitæ rectæ prædictis ſectionibus interce­
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              ptæ, in qua ſunt baſes dictorum triangulorum ſe­
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              ctionis punctum pertinens ſic diuiditur; vt pars,
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              quæ eſt ad verticem ſit tripla reliquæ. </s>
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              <s>Sint duo prædicti generis triangula ABC, ADE ha­
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              bentia verticem A communem, qui eſt contactus recta.
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              <s>rum cum parabolis, tangente AB parabolam AC, & </s>
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