244[Figure 244]ALITER.
Sit data cochlea AB duas habens helices æquales CDEFG; ſit
deinde alius cylindrus αβipſi AB æqualis, in quo ſummatur OP ip
ſi CG æqualis; diuidaturq; OP in tres partes æquales OR RT
TP, & tres deſcribantur helices OQRSTVP; erit vnaquæq; OR RT
TP minor CE, & EG: tertia enim pars minor eſt dimidia. dico
idem pondus facilius ſuper helices OQRSTVP moueri, quàm ſu
per CDEFG. exponatur HIL triangulum orthogonium, ita vt
HI ſit ipſi CG æqualis, & IL duplo perimetri cylindri AB æqua
lis, & per LI intelligatur planum horizonti æquiſtans; erit HL
æqualis CDEFG; & HLI inclinationis angulus erit. exponatur
ſimiliter XYZ triangulum orthogonium, ita vt XZ ipſi OP ſit æ
qualis, quæ etiam æqualis erit CG, & HI; ſitq; ZY cylindri pe
rimetro tripla, erit XY æqualis OQRSTVP. diuidatur ZY in
deinde alius cylindrus αβipſi AB æqualis, in quo ſummatur OP ip
ſi CG æqualis; diuidaturq; OP in tres partes æquales OR RT
TP, & tres deſcribantur helices OQRSTVP; erit vnaquæq; OR RT
TP minor CE, & EG: tertia enim pars minor eſt dimidia. dico
idem pondus facilius ſuper helices OQRSTVP moueri, quàm ſu
per CDEFG. exponatur HIL triangulum orthogonium, ita vt
HI ſit ipſi CG æqualis, & IL duplo perimetri cylindri AB æqua
lis, & per LI intelligatur planum horizonti æquiſtans; erit HL
æqualis CDEFG; & HLI inclinationis angulus erit. exponatur
ſimiliter XYZ triangulum orthogonium, ita vt XZ ipſi OP ſit æ
qualis, quæ etiam æqualis erit CG, & HI; ſitq; ZY cylindri pe
rimetro tripla, erit XY æqualis OQRSTVP. diuidatur ZY in
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