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

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1duo anguli ad baſim BD ſimul ſumpti ſunt
æquales
recto CDA vnâ cum angulo obſer­
uato
A.
Cum verò triangulum CBD ſit ſo­
ſceles
, vnuſquiſque an­
19[Figure 19]
gulorum
ad baſim BD
eſt
æqualis ſemirecto &
ſemiangulo
obſeruato.

Deme
ergo ſemiangu­
lum
obſeruatum gr.44.
48
. 16 1/2, ex angulo ſe­
mirecto
, hoc eſt grad.
45
, remanet gr. o. m. 11.
fec
.
43 1/2 quantitas angu­
li
ADB: Hic autem angulus ADB ſemper
eſt
ſemiſſis complementi anguli ad A obſer­
uati
; angulo enim ADB facto ad punctum
contactûs
eſt æqualis angulus in ſegmento
alterno
, anguli verò ad peripheriam duplex
eſt
angulus ad centrum C.
In triangulo ita­
que
ADB noti ſunt duo anguli ad A & ad D;
& latus BD notum eſt in partibus 682.
13152
.quarum Radius 100000.00000; ideo­
que
in ijſdem Radij partibus inuenitur AB
partium
232657. Iam fiat vt AB partium
232657
ad Radium 100000.00000, ita AB
ped
. 480 ad aliud, & prodibit quantitas BC
terrenæ
ſemidiametri ped. 20631229, hoc
eſt
mill. 4126. paſſ.
246. Quod verò ali­

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