Valerio, Luca, De centro gravitatis solidorum, 1604
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              planum per BE ſecans ſphæram, vel ſphæroides faciat ſe­
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              ctionem circulum, vel ellipſim, & in ea parallelas LFM,
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              NGO, communes ſectiones iam factæ ſectionis ſphæræ
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              vel ſphæroidis cum circulis, vel ellipſibus inter ſe paral­
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              lelis quarum diametri ſunt AC, KH. </s>
              <s>Quoniam igitur
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              E eſt centrum ſphæræ, vel ſphæroidis; omnes in eo per
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              punctum E, tranſeuntes rectæ lineæ bifariam ſecabuntur:
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              ſed idem E eſt in ſectione ſphæræ, vel ſphæroidis, circu­
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              lo, vel ellipſe ABCD; omnes igitur in ipſa rectas lineas
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              bifariam ſecabit punctum E, & centrum erit circuli,
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              vel ellipſis ABCD: quædam igitur ex centro recta EB
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              ſecans parallelarum neutrius per centrum ductæ alteram
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              AC bifariam in circuli, vel ellipſis ALCM centro F,
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              & reliquam in puncto G bifariam ſecabit. </s>
              <s>Similiter
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              oſtenderemus rectam NO ſectam eſse bifariam in pun­
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              cto G: atque adeo circuli, vel ellipſis KNHO centrum
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              eſſe G. </s>
              <s>Recta igitur E, tranſiens per centrum ſectionis
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              ALCM, tranſibit per centrum reliquæ KNHO ipſi
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              ALCM parallelæ. </s>
              <s>Quod demonſtrandum erat. </s>
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              COROLLARIVM.
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              <s>Hinc manifeſtum eſt, ſi ſphæra, vel ſphæroides
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              ſecetur plano non per centrum: & recta linea ſphæ­
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              ræ, vel ſphæroidis, & factæ ſectionis centra iun­
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              gens ad ſuperficiem vtrinque producatur; talis
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              axis ſegmenta eſſe
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              portionum, earumque
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              vertices extrema dicti axis, vt in figura theorema­
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              tis ſunt puncta B, D. </s>
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