110, dr.
4; & ex triplo, ſiue ex altitudine diam etrorum
trium, eleuatione tripli, ſeu vnciatum 15, dr.
6, cùm tu ta
men videas eleuari duplum, ſiue vncias 10, dr.
4, non
ex ſpatio duplo, ſed ex triplo, ex quo eleuari oporteret
non duplum, ſed triplum, ſeuvncias 15, dr.
6. Idipſum
dico de cæteris ad vſque altitudinem diam etrorum
nouem, ex qua attolli oporteret ponderis nonuplum,
ſeu vncias 47, dr.
2, non, vt ais, quintuplum ſolùm, ſeu
vncias 26, dr.
2. An placuit tibi progreſſus ille per nume
ros impareis, vnum, tria, quinque, ſeptem, nouem, quo
rum ſuntinter ſe interualla æqualia?
Atqui oporteret
hoc caſu ex diametro vna nihil attolli ponderis, ac ſu
peratis deinde duabus diametris, attolli pondus ſim
plum, ſiue vncias 5, dr.
2, & ſuperatis adhûc duabus du
plum, & adhûc duabus triplum, &c: cùm tu velis ta
men ex altitudine nulla, quaſi cyphra, ad altitudinem
vſque integræ diametri, quaſi vnius, attolli pondus ſim
plum, ſeu vncias 5, dr.
2, adeò proinde, vt ſi per ſpatia
æqualia menſurata diametris procedere velis, neceſſe ſit,
vt poſt primam diametrum, cui velocitatem attollen
tem ſimplum attribuis, accipias ſecundam, cui attol
lentem duplum attribuas, &c.
Dicerem id fortè placuiſſe,
quòd exiſtimâris videri vtcumque congruere cum eo,
quod defendispoſteà, primum primæ partis dimidium,
quaſi pro nihilo haberi, ac numerandum motum dun
taxat ab initio vſque ſecundi dimidii, & pergendum
per ſecundam, tertiam, & cæteras parteis, quarum quæli
bet duo dimidia contineat.
Verum, vt taceam notum
eſſe, quàm parùm cohærenter id fieret, nihil eſt cur
tempus in coniectando teram, cùm etiam pigeat terere
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