Clavius, Christoph
,
Geometria practica
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LIBER SEPTIMVS.
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<
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enim ex propoſitione 5. </
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<
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rimetrarum eam, quæ plura latera continet, eſſe maiorem: </
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tione 12. </
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bentes, eam maximam eſſe, quæ regularis eſt: </
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<
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ne perſpicuum eſt, circulum omnium figurarum iſoperimetrarum regularium
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eſſe maximum: </
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<
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">Manifeſtè concluditur, circulum abſolutè ac ſimpliciter o-
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mnium figurarum rectilinearum ſibi iſoperimetrarum maximum eſſe. </
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<
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propoſitum.</
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<
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">Pyramis quæ-
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lib{et} cui pa-
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rallelepipedo
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ſit æqualis.</
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ſub perpendiculari à vertice ad baſim protracta, & </
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pyramis, cuius baſis quotcunque laterum ABCDE, & </
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dum autem rectangulum G N, cuius baſis G H I K, æqualis ſit tertiæ parti baſis
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A B C D E; </
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/337-01
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GL, æqualis altitudini pyramidis, ſiue perpen-
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diculari à vertice pyramidis ad eius baſim pro-
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ductæ. </
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le eſſe, pyramidi A B C D E F. </
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ab omnibus angulis baſis G H I K, ad aliquod
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punctum baſis oppoſitæ, nimirum ad L, lineæ
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rectæ, ita vt conſtituatur pyramis G H I K L,
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eandem habens baſim cum ſolido G N, ean-
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demque altitudinem & </
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<
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G N, & </
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<
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duodec.</
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niam igitur pyramis A B C D E F, tripla eſt py-
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ramidis GHIKL; </
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<
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duodec.</
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quo que eſt eiuſdem pyramidis GHIKL: </
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ſolidum G N, pyramidi A B C D E F, æquale.
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<
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lis eſt ſolido rectangulo, &</
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<
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dendum.</
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libet, in qua
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ſphæra deſcri-
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bipotest, cui
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parallelepipe-
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do æquale ſit.</
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<
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ſphæram aliquam circumſcriptibilis, hoc eſt, à cuius puncto aliquo
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medio omnes perpendiculares ad baſes eius productæ ſunt æquales,
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æqualis eſt ſolido rectangulo contento ſub vna perpendicularium,
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& </
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