Baliani, Giovanni Battista
,
De motv natvrali gravivm solidorvm et liqvidorvm
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3
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type
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proposition
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3
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type
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proof
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064/01/065.jpg
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<
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s.000442
">Quoniam AG, AE sunt in duplicata ratione
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ad ag, ae per constr., & quadrata ad, ab
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sunt pariter in duplicata ratione ad ag, ae,
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erunt AG, AE ut quadrata ad, ab,
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& di
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videndo ut EG ad AE ita ad minus ab, hoc est
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gnomon edf, ad ab.
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Pari ratione probabimus
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ut AE ad EH esse quadrata ab, ad bd, &
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proinde EG ad EH est ut gnomon edf ad
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quadratum bd
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unde HG, ad EG, ut com
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plementa gb, bf ad gnomonem edf,
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at EG
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ad AE sunt ut gnomon edf ad quadratum ab,
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ut probatum est supra, ergo HG, seu EI
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ipsi
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aequalis per constr. ad AE est ut dicta comple
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menta gb, bf, ad quadratum ab,
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bisk seu
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ut gb ad ab,
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1
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seu ut eg ad ae,m seu eh, ei
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aequale per constr. </
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<
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id
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">Quod, etc.</
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Per 20. sexti.</
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Per 11. Quinti.</
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type
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margin
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<
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id
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s.000446
">
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Per 17. Quinti.</
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<
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type
="
margin
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<
s
id
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s.000447
">
<
margin.target
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Per 22. Quinti.</
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type
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margin
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<
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id
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s.000448
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Per 19. Quinti.</
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type
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margin
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id
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s.000449
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="
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Per 22. Quinti.</
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</
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<
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corollary
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head
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<
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">Corollarium Primum</
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<
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">Si portio temporis eh non sit immediata tempori
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ae sed ab ea seiuncta, puta in schemate propo
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sitionis secundae gK, reperto in EB spatio IN</
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</
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subchap1
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</
chap
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</
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</
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