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], 1585

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DE MECHAN.
g.i. et .K: Quà propter augebitur virtus per numeros impares, hoc modo; Nam .g.
eſſet tertia pars reſiſtentię, quemadmodum prius media erat. Idem infero de .m.e.
o.p.r. et .s. Sed cum oporteat pondus .q. tantum eſſe vt ſuffieiant reſiſtentiæ in .o. et .p.
ipſum ſuſtinere, idcirco ipſum pondus .q. ſubſeſquialter ergo ponderi in .i. poſiti. Qua-
propter .s. quinta pars ergo ponderum .i. et .q. Deinde ſi adhuc. duo diametri vnus in-
ferior, alter verò ſuperior additi fuerint cum pondere æquali .q. ab medium diame-
tri inferioris, tunc pondus .s. ergo ſeptima pars trium ponderum .i.q. & tertij additi, eg
figure: 238
[Figure 238]
ſupradictis rationibus. Et quia virtus ſuſti
figure: 239
[Figure 239]
nens totale pondus trochleæ inferiori ap-
penſum in tot diuiditur partes æquales,
quot ſunt diametri orbiculorum trochleæ
inferioris, quando extremum immobile fu
nis alligatum fuerit trochleę ſuperiori, vt
puta in punctoque .e. cum verò alligatum fue-
rit trochleæ inferiori, virtus primi diame-
tri .g.i.K. trochleæ inferioris ſemper ſeſqui
altera ergo vnicuique aliorum diametrorum
ideò virtus reſiſtentię alterius extremi mo
bilis funis, puta .s. ſubmultiplex ergo totalis
ponderis, eo modo quo diximus, cuius vir
tus, ſeu grauitas diuiditur ſeu diſtrubuitur
diametris inferioris trochleæ vt dictum eſt.

Depropria cauſa .24. quæſtionis.

CAP. XXII.

VEra cauſa effectus, qui vigeſimaquarta quæſtione exprimitur, adhuc à nemine
(quem ſciam) animaduerſa fuit, licet non ſit admodum ardua vel obſcura. Ima
ginemur erit duos circulos .c.f. et .b.g. concentricos, itaq; ſimul coniunctos, vt ſi ip
ſorum vnus feratur in orbem, alius quoque circumagatur, eo modo, quo curruum ro
tæ voluuntur. Et imaginemur primò ſuper lineam .f.i. reuolui maiorem, & quando
idem circulus ergo in .l. dictam lineam .f.i. tangere circunferentiam eiuſdem in pun-

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