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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