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# Title: [Geometriae Pars Universalis, Inserviens Quantitatum Curvarum transmutationi & mensurae] Geometriæ Pars Vniversalis, Inserviens Quantitatum Curvarum transmutationi & mensuræ (shelfmark Ms IV, 377a)
# Folio 78, page id 1047377675:0094
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DECc sector circuli(7 9, _ Pect ori P9 circum seribatur po.
roonum TSBI simile polySonoLAMN, icem eidem inscriba.
cur polygonum 1779 circum (cripeo simile. Ducatur recta
IL. lacera quaruor parallela similium polygonorum 7 y, SI,
PV.MK. bitariam diridens in punctis Y, R, Q. L; manifectum
es eriangulum II. K rectansulum ad L esse commune sectio-
nem pluni sccancis cum vno aequalium eruncorum ex quibus
constat polyedrum porcioni Colidirocundi circum (cripeum
quem eruncum supponamus esse eandem cu trunco ABC C
(quod sine absurdo efficere portumus, quoniam omnes cru-
corum inferiorum superticies, quorum plana secancia ba sen
secant in recta BC, idem habene inbale cenerum aequilibris
L.) ee proinde pacet luperhcici eruneis communem habencis
cum plano secante incerfectionem l. lK, centrum aequilibris
in basc ese punctum R; eodemque modo probatur punctum
Relle in base cenerum a quilibrii superhcieicrunci, cuius in
cerlectio cum plano secance cAMIL, de ideohorum crunco
rum simul iunctorum Cuperticici cenerum gravicatis cAR.
eodem modo probatur in duobus quibussibet eruncis eocius
polvedri circum (cripei ad unam Caperticiem iunctis veriul
que limul superticici cenerum grauicaris esse in puncto, vbi
recta ex vertice Ibalem eriang uli (quod criangulum est co.
munis lectio plani secaneis cum duobus iunctis truncis) bi
Fariam secans, arcum circularem 9r incerlecat: Facili quo-
que negocio probacur punctum Y esle centrum gravicatis
luperticiei duorum iunctorum eruncorum, quorum cum pla
nolcconce communis incerlectio IPV; item ee punstum 
elle cenerum gravicacis superticiei duorum iunetorum erun
corum, quorum cum plano seconce communis incersectio
IP criangulum: iungacur rect + X X, quae bitariam seCaTUFiM
punctos; manifectum est punctum s cRecenerum grauitacis
Superticiei quacuor iunctorum eruncorum limuls quorum cu
plano secance communis incerlectio est craperium IVBo; 2c.
que punctum s centrum erdum est cravicaris rectarum 2.7
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