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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 79, page id 1047377675:0095
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# Model: FoNDUE-GD_v2_ft_Leibniz, run 74, 2026-09-06T16:05:13Z — 43 lines, status machine
# Lines: 43 recognised, mean confidence 0.81
# Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German.
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grimul: eodeni modoprobacura centrum gravicaris re
Ctarum orrz, eNe cenerum grovieatis superhciei quaruor iun-
aorum eruncorum limul, quorum cum plano lccance com-
munis incerfectio est traperium IoS0. Cenera gravicaris a
Si iunsantur recta a 5, quae bitariam secerur in 3. manifectum
CA 3 cenerum gravicaris superticiei polredri inscripei esse
etiam cenerum granitarisrectarum omnium simul arcui ou
inscripeorum. eodem modo probatur cenerum grauitatis
superficiei polredri circumleripti nempe + idem esse cum
Centro grauicaris omnium rectarum arcuio y circum lcripio.
rum: Sic cenerum graritacis superficiei porrionis Colidiro-
cundi 4 de cenerum gravitaris arcus 97, 27 quod necessario
eAin recta IZ incer puncta 2, 3; iunganeur recta 14, 24, 54
de constructione 3 minor elt quam 2q. angulorum 124, 423,
Sc maior vel Caltem nonminor 124, e ideo lacus 14 maius
CA lacere 24. Scd 24 maior eA quam +3, e proinde ra maior
eA quam +3 hoc est, centrum oranicaris superticici porcio.
nis Colidi rocundi dictac a centro grovitacis superhiciei po.
lyedri sibi circum scripei maiore inceruallo quam cencrum
Grauitacis superticiei ciu (dem polycdri circum scripei distae
a cecro gravitatis superticiei similis polyedri inscripeis quod
eA ablerdum maiore enim inceruallo diltant centra oravita-
eis superficierum polredrorum inscripei de circumscripei.
quam distac cenerum grouiratis superticici porcionis Colidi
rocundia cenero graricacis superticiei polvedri live inlcripei
siuc circum scripeis et proinde nullo inceruallo dictane centra
erauicacis superticiei portionis Colidirocundi de arcus 9r, 8
ideo idem es eorum centrum gravicatis, quod demonstran-
dum erat.
Eodem modo demonstratur haec propolicio de superhcie
quacunque rocunda Facta aroratione rnius linee rel plurium
mearum circa axem; modo radius rocarionis illasnon lecet
in pluribus punctis.
PxOP.