Commandino, Federico - Liber de centro gravitatis solidorum

Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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1& per o ducatur op ad km ipſi hg æquidiſtans. Itaque li
nea hm bifariam uſque eò diuidatur, quoad reliqua ſit pars
quædam qm, minor op. deinde hm, mg diuidantur in
partes æquales ipſi mq: & per diuiſiones lineæ ipſi mK
æquidiſtantes ducantur. puncta uero, in quibus hæ trian
gulorum latera ſecant, coniungantur ductis lineis rs, tu,

21[Figure 21]
xy; quæ baſi gh æquidiſtabunt. Quoniam enim lineæ gz,
hα ſunt æquales: itemque æquales gm, mh: ut mg ad gz,
ita erit mh, ad hα· & diuidendo, ut mz ad zg, ita mα ad

αh. Sed ut mz ad zg, ita kr ad rg: & ut mα ad αh, ita ks
ad sh. quare ut kr ad rg, ita ks ad sh. æquidiſtant igitur

inter ſe ſe rs, gh. eadem quoque ratione demonſtrabimus

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