Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae

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1terminus, vnde terrena
26[Figure 26]
ſemidiameter cognoſci­
tur, non tamen ipſa ſe­
midiameter AG eſt ter­
tius analogiæ terminus,
ſed potius conflatum ex
DC, CB: latus enim v­
num trianguli rectan­
guli eſt medium propor­
tionale inter differentiam
hypothenuſæ ac reliqui lateris, & eorum ag­
gregatum: ac proinde vt AD ad DB, itą
DB ad DCB.
Quare ex inuento tertio ter­
mino debuiſſet datam altitudinem DA de­
mere, & reſiduum bifariam diuiſum dediſ­
ſet quæſitam ſemidiametrum AC.
Hinc
rectè dicebas arcum illum pro rectâ lineâ
parùm Geometricè aſſumptum.
XXXXIV
Quarta me­
thodus in­
neniendi ter­
ra ſemidia­
metrum.
Gal. Nunquam hominem potui à con­
ceptâ ſententiâ reuocare, niſi vbi eum iuſſi
rem rotam in praxim deducere.
Statuimus
primùm extra omnem controuerſiam poſi­
tum videri, in decernendâ Phyſici horizon­
tis amplitudine non incertam ædium aut
montium altitudinem eſſe ſpectandam, ſed
eam ex communi vulgarique hominum ma­
gnitudine definiendam.
Quandoquidem

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