<p id="id.2.1.55.2.0.0.0" type="main">
<s id="id.2.1.55.2.1.1.0">Sit libra AB, cuius centrum C; &longs;intq; vt in primo ca&longs;u duo pon<lb/> dera EF ex punctis BG &longs;u&longs;pen&longs;a: &longs;itq; GH ad HB, vt pondus <lb/> F ad pondus E. </s>
<s id="id.2.1.55.2.1.1.0.a">Dico pondera EF tàm in GB ponderare, quàm <lb/> &longs;i vtraq; ex diui&longs;ionis puncto H &longs;u&longs;pendantur. </s>
<s id="id.2.1.55.2.1.2.0">Con&longs;truantur ea <lb/> dem, hoc e&longs;t fiat AC ip&longs;i CH æqualis, & ex puncto A duo ap­<lb/> pendantur pondera LM, ita vt pondus E ad pondus L, &longs;it vt <lb/> CA ad CG; vt autem CB ad CA, ita &longs;it pondus M ad pondus <lb/> F. </s>
<s id="id.2.1.55.2.1.2.0.a">pondera LM ip&longs;is EF in GB appen&longs;is (vt &longs;upra dictum e&longs;t) <lb/> æqueponderabunt. </s>
<s id="id.2.1.55.2.1.3.0">Sint deinde puncta NO centra grauitatis pon<lb/> derum EF; connectanturq; GN BO; iungaturq; NO, quæ tan­<lb/> quam libra erit; quæ etiam efficiat lineas GN BO inter &longs;e &longs;e æqui­<lb/> di&longs;tantes e&longs;&longs;e; à punctoq; H horizonti perpendicularis ducatur <lb/> HP, quæ NO &longs;ecet in P, atq; ip&longs;is GN BO &longs;it æquidi&longs;tans. <lb/> </s>
<s id="id.2.1.55.2.1.3.0.a">deniq; connectatur GO, quæ HP &longs;ecet in R. </s>
<s id="id.2.1.55.2.1.4.0">Quoniam igitur <lb/> HR e&longs;t lateri BO trianguli GBO æquidi&longs;tans; erit GH ad HB, <lb/> vt GR ad RO. </s>
<s id="N124F8">&longs;imiliter quoniam RP e&longs;t lateri GN trianguli <arrow.to.target n="note104"/><lb/> OGN æquidi&longs;tans; erit GR ad RO, vt NP ad PO. </s>
<s id="N124FF">quare <lb/> vt GH ad HB, ita e&longs;t NP ad PO. </s>
<s id="N12503">vt autem GH ad HB, ita <arrow.to.target n="note105"/><lb/> e&longs;t pondus F ad pondus E; vt igitur NP ad PO, ita e&longs;t pondus <lb/> F ad pondus E. </s>
<s id="id.2.1.55.2.1.4.0.a">punctum ergo P centrum erit grauitatis magni­<lb/> tudinis ex vtri&longs;q; EF ponderibus compo&longs;itæ. </s>
<s id="id.2.1.55.2.1.5.0">Intelligantur itaq; <arrow.to.target n="note106"/><lb/> pondera EF ita e&longs;&longs;e à libra NO connexa, ac &longs;i vna tantùm e&longs;&longs;et <lb/> magnitudo ex vtri&longs;q; EF compo&longs;ita, in puncti&longs;q; BG appen&longs;a. </s>
<s id="id.2.1.55.2.1.6.0">&longs;i <lb/> igitur ponderum &longs;u&longs;pen&longs;iones BG &longs;oluantur, manebunt pondera <arrow.to.target n="note107"/><lb/> EF ex HP &longs;u&longs;pen&longs;a; &longs;icuti in GB prius manebant. </s>
<s id="id.2.1.55.2.1.7.0">pondera verò EF <lb/> in GB appen&longs;a ip&longs;is LM ponderibus æqueponderant, & pondera
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