Guevara, Giovanni di
,
In Aristotelis mechanicas commentarii
,
1627
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<
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83
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lem cum illa à cathectu diſtantiam, ac proinde grauitatem
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perueniat, vt in æquilibrio contingit</
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<
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<
s
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N12817
">Superiorem autem lancem modo prædicto à linea ca
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thectus magis remoueri, ſic poteſt
<
expan
abbr
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demõſtrari
">demonſtrari</
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exemplo hu
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ius figuræ. </
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<
s
id
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N12822
">Sit cathectus cadens linea AB, quæ tranſeat
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per punctum axis propoſitæ libræ vbi C. </
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<
s
id
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N12828
">Deinde ducatur
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recta DE per longum diuidens iugum libræ,
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abbr
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ipſaq.
">ipſaque</
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>
DE bi
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fariam diuidatur in F, & punctum in quo ſecat lineam AB,
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ſignetur G. </
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<
s
id
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N12836
">Poſtea excitentur à puncto D, & à puncto E
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duæ paralellæ perpendiculariter tendentes ad lineam AB,
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ita vt efficiantur duo triangula AEG, & DGB. </
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<
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">In his au
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tem triangulis, an
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gulus DGB ęqua
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lis eſt angulo EGA
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cum ſint ad verti
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cem per 15. primi
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Eucl. </
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<
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id
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N12853
">Angulus
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abbr
="
etiã
">etiam</
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>
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D. ęqualis eſt an
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gulo E cum ſint al
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terni intra eaſdem
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paralellas, vt patet
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per 29. primi eiuſ
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dem Euclidis. </
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<
s
id
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N12867
">Si
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militer etiam angu
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lus B æqualis eſt
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angulo A, quia
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vterque ponitur re
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ctus. </
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<
s
id
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N12874
">Cum igitur
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tres anguli vnius
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trianguli æquales
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ſint tribus angulis alterius trianguli ſequitur per 4. prop. ſex
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ti, latera eorundem triangulorum, quę circum ęquales an
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gulos ſunt, eſſe inter ſe proportionalia. </
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<
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id
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N12881
">Vnde fit vt cum
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vnum latus ex duobus, quibus angulus E continetur, vide
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licet GE ſit maius
<
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abbr
="
quã
">quam</
expan
>
latus GD ęqualis anguli D. </
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>
<
s
id
="
N1288D
">Siqui
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dem GE eſt pluſquam dimidium lineę DE continet enim </
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>
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</
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