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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