Valerio, Luca, De centro gravitatis solidorvm libri tres
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              lam contingat, altera in altero ſecet diametro æ­
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              quidiſtans. </s>
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              <s>Sint data duo puncta. </s>
              <s>A, C, in duabus rectis lincis da­
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              tum angulum ABC continentibus, ſit autem aſſignatum
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              punctum C. </s>
              <s>Dico per puncta A, C, parabolam tranſi­
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              re, ita vt ipſam linea AC contingat in C puncto, altera
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              autem AB ſecet in puncto A, diametro parabolæ æqui­
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              diſtans. </s>
              <s>Completo enim parallelogrammo BD, ad re­
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              ctam CD applicetur rectangulum æquale quadrato AD,
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              faciens latitudinem E. </s>
              <s>Quoniam igitur in plano BD
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              parabola inueniri poteſt, cu­
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              ius ſit vertex C, diameter
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              CD, ita vt quædam ex ſe­
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              ctione ad diametrum CD
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              applicata in dato angulo A
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              BC, ideſt ADC, qualis
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              eſt recta AD, poſſit rectan­
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              gulum ex CD, & E, ex
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              primo conicorum elemen.
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              <s>to; ſit ea ſectio parabola
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              AC; aſſignatum eſt autem punctum C; per puncta igi­
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              tur A, C parabola AC tranſibit, cuius vertex eſt aſſi­
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              gnatum punctum C. </s>
              <s>Et quoniam quæ ex vertice recta
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              CB eſt applicatæ DA parallela, ſectionem AC in pun­
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              cto C continget: eſt autem AB diametro CD æquidi­
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              diſtans, ac proinde parabolam ſecabit in puncto A. </s>
              <s>Ma­
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              nifeſtum eſt igitur propoſitum, </s>
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              PROPOSITIO IV.
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              <s>Si recta linea parabolam contingat, omnes re­
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              ctælineæ ex ſectione ad contingentem applicatæ </s>
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