Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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<
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>Si parallelepipedum AB, cuius axis CD, ſectum in
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duo parallelepipeda AE, EN, quare & axis CD, in
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axes CL, LD, parallelepipedorum AE, EN. </
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<
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>Et ſint
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centra grauitatis; F, parallelepipedi EN, & G, paral
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lelepipedi AE, & H, parallelepipedi AB, in medio cu
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iuſque axis ex antecedenti. </
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<
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>Dico eſse FH, ad HG,
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vt parallelepipedum AE, ad EN, parallelepipedum.
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<
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>Iungantur enim diametri baſium oppoſitarum, quæ per
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puncta axium D, L, G, tranſibunt, ADM, KLE,
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NCB; iamque parallelogramma
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erunt AB, AE, EN, DB, DE,
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EC, propter eas, quæ parallelas
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iungunt, & æquales: quorum bi
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na latera oppoſita ſecta erunt bi
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fariam in punctis C, L, D, per
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definitionem axis: punctum igitur
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F, in medio rectæ CL, oppoſi
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torum laterum bipartitorum ſectio
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nes coniungentis, erit parallelo
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grammi EN, centrum grauitatis.
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<
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>Eadem ratione & parallelogram
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mi AE, centrum grauitatis erit G, & H, parallelogram
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mi AB. </
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<
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>Vt igitur parallelogrammum AE, ad paralle
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logrammum EN, hoc eſt, vt baſis ME, ad baſim EB;
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hoc eſt, vt parallelogrammum MO, ad parallelogram
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mum OB: hoc eſt, vt parallelepipedum AE, ad paral
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lelepipedum EN: ita erit FH, ad HG. </
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<
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>Quod de
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monſtrandum erat. </
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