Benedetti, Giovanni Battista de, Io. Baptistae Benedicti ... Diversarvm specvlationvm mathematicarum, et physicarum liber : quarum seriem sequens pagina indicabit ; [annotated and critiqued by Guidobaldo Del Monte]

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405393EPISTOL AE. ta fuit vt .m.t. ad .t.n. idcirco ex .11. quinti ita erit ipſius fruſti .a.e. ad ſectionem .d.b.
e.
vt tres quintę ipſius .f.g. ad .i.r.
Inquit deinde quod proportio corporis iam ſupradicti, quod pro ſua baſi habeat
quadratum ipſius .a.f. altitudinem verò compoſitam ex duplo ipſius .d.g. cum ſimplo
a.f. ad cubum ipſius .a.f. eadem erit quæ dupli ipſius .d.g. cum ſimplo .a.f. ad .a.f.
Quod
quidem verum eſt ex .33. vndecimi & ex prima ſexti.
Sed ſuperius (vbi. α.) iam probauimus eandem proportio nem eſſe inter .m.n. &
n.x. quæ inter .a.f. et .d.g. ideo ex conuerſa pro portion alitate ita erit ipſius .x.n. ad .n.
m.
vt ipſius .d.g. ad .a.f. ſed dupli .x.n. ad ſimplum .x.n. eſt vt dupli .d.g. ad .d.g.
Qua
re ex .22. quinti dupli .x.n. ad .m.n. erit vt dupli .d.g. ad .a.f. & ex .18. eiuſdem ita erit
dupli .x.n. cum ſimplo .m.n. ad .m.n. vt dupli .d.g. cum ſimplo .a.f. ad .a.f.
Quare ſolidi
442[Figure 442]

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