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# Title: [De Resistentia Solidorum Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis] De Resistentia Solidorvm Alexandri Marchetti In Alma Pisana Academia Ordinariam Philosophiam publicè profitentis (shelfmark Leibn. Marg. 225)
# Folio 82, page id 168608546X:0100
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# Lines: 37 recognised, mean confidence 0.91
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845
BE RESISTEMTTA
BI describatur Conus C:BFIs EE quoniam Fremisphaerium; vel
Fremisphaerois ABC ad sui portionem CBII proxortionem ha-
bec compolitam ex racionibus Hemisphaerii, vel HTemisphaeroi
dis ABC ad Conum ABC, Coni ABC ad Conum GBTI, _ C OMI
OBFIad porcionem CBII; est aurem, ve Hlemisphaerium, vel
Flemisphaerois ABC ad Conum ABC, ita BF ad FD; Conus au
tem ABC ad C orum CBHI in composita eA proportione exratio
nibus BasiS AC ad Basim CFI, Roctanouli scilicet ex E D in DB ad
Rectangntum ex FI in IB, ec aris DB ad axim BI, e Conus deni-
que CBHI ad portionem OBFI in cadem ratione est, in qua TF. 2d
FB, simul cum DI, ergo Hlemisphaerium, vel Hemisphaerois
ABC ad lui portionem ABC proporcionem habe compoluam ex
rationibus BF. ad FD, Rectanculi Cx F. D in DB ad Rectanculum
ex FI in IB, DBadBI; _TK ad RB, Simul cum DI, hoc est exra-
tionibus BF AAFD, DF ad FI, IE ad FB, simul cum DI, CC
Ouadrati ex DB ad Ouadratum ex BI, DB ridelicet ad BL, sed
ex rationibus BE ad ED, DE ad FI, _ TF ad F B, Simul cum DI,
ratio componitur BF. ad F B, simul cum DI, ergo ITemisphaeri-
um, vel Hemisphaerois ABC ad portionem GBHI proportionem
habet compositam ex proportionibus BF ad F B, simul cum Dl.
e DBadBI. Ouoniam itaq; momentum ponderis Hlemisphae-
rii, vel Hemisphaeroidis ABC ad momentum ponderis portionis
EBFI in composita est proportione exrationibus Ilemisphaerii,
vel tremisphaeroidis ABC, ad portionem OBII, e rectx DF ad
rectam IP (est enim punctum Pcentrum grauitatis Hemisphaerii,
vel Hremispheroidis ABC; P vero centrum orau. portionis OBII)
eroo momentum ponderis lTemispherii, vel Hemisphaeroidis
ABC ad momentum ponderis abseisix portionis GiBFI propor-
tionem habet compolitam ex rationibus BE ad EB, simul cum
DI, DB ad BP, _ FD ad IE, camdem scilicet, quam Colidum
Parallelepipedum, cuius balis Rectanoulum ex F. B in BD, alci-
tudo vero FD ad solidum Parallelepipedum, cuius basis Rectan-
oulum ex B, simul cum DL in BC, altieudo autem IP. Ouod
ExALg _C.
PROE