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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