Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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ad T, ita fiat T ad ZY, cuius Z
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, tribus GE, EH, V
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ſimul ſit æqualis. </
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>Dico ABCD portio
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nem ad cylindrum SO eſse vt
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ad
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Z.
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>Abſciſsa enim GK ipſi EG æquali, cylin
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drus PN circa axim GH, & conus KEN
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conſtituantur vt in præcedenti. </
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<
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>planum igi
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tur abſcindens portionem facit fruſtum coni
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KEN, quod ſit KLMN, cuius minor ba
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ſis circulus, cui diameter LM; maior autem
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cui diameter KN. </
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<
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>Et vt eſt GE ad EF, hoc
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eſt GK ad SH, ita ſit EF, vel SH, ad I.
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vt igitur in præcedenti, oſtenderemus cylin
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drum SO ad cylindrum PN eſse vt I ad
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GK ſiue ad EG. </
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<
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>Quoniam igitur ſunt ter
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næ deinceps proportionales GE, EF, I, &
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X, T, ZY, eſtque vt FE ad EG ita T ad X;
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erit vt I ad EG, hoc eſt vt cylindrus SO ad
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PN
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cylindrũ
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ita ZY ad X. </
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<
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>Et quoniam eſt vt
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GE ad EH, ita EH ad V: hoc eſt, vt GK ad
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LH. ita LH ad V: & ponitur X tripla ipſius
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EG, hoc eſt ipſius GK, vt autem eſt triplaipſius GK ad
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tres deinceps proportionales GK, LH, V, ita eſt cylin
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drus PN ad fruſtum LKNM; erit vt X ad tres GE, EH,
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V ſimul hoc eſt ad lineam
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Z, ita cylindrus PN ad fru-</
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