Clavius, Christoph
,
Geometria practica
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/187-01
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">GEOMETRIÆ
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PRACTICÆ
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LIBER QVARTVS.</
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<
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">AREAS</
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<
s
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">Superficierum planarum inueſtigans.</
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<
s
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">QVEMADMODVM linea recta rect{as} line{as} meti-
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note-187-01a
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xml:space
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">Pen{es} quid
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menſuræ li-
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nearum re-
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ctarum, pla-
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narum ſuper-
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ficierum &
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ſolidorum ſu-
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mantur.</
note
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tur, ita Geometræ ſuperficies plan{as} per ſuperficiem qua-
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dratam, & </
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>
<
s
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">corpora, ſiue ſolida, per corp{us} cubicum me-
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tiri ſolent. </
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<
s
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">Nam ſicut linea recta dicitur 100. </
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<
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">palmorum
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in qua linea vni{us} palmi centies continetur, ita ſuperfi-
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cies plana dicitur 100. </
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>
<
s
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xml:space
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">palmorum, quæ centies quadra-
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tum continet, cui{us} lat{us} palmo æquale est: </
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>
<
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">& </
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<
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">ſolidum
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100. </
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<
s
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">palmorum illud dicitur, quod complectitur 100. </
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<
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">cubos, quorum quilibet la-
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t{us} habet vni{us} palmi: </
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<
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">quod de aliis etiam menſuris, vt de pede, cubito, paſſu,
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milliario, &</
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<
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">c. </
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<
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">intelligendum est. </
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<
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">Quia vero quælibet ſuperficies tot quadrata
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cuiuſque menſuræ comprehendere dicitur, quot in parallelogrammo rectangulo,
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quod illi æquale est, continentur, explicandum primo loco erit, quaratione area
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cuiuſlibet rectanguli cognoſcatur. </
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<
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">Deinde de area triangulorum, quadrilatero-
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rum non rectangulorum, cæterarumque figurarum plurium laterum @gem{us}:
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</
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<
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">ac denique circulum, eiuſque partes metiemur.</
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">DE AREA RECTANGVLORVM
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<
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I.</
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">Area qua-
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drati, & alte-
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ra parte lon-
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gioris quo pa-
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cto cognoſca-
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tur.</
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<
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Euclides defin. </
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<
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<
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">docet, omne parallelogram-
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mum rectangulum contineri ſub rectis duabus lineis, quæ rectum
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comprehendunt angulum; </
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<
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">manifeſtum eſt, aream cuiuſque re-
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ctanguli produci ex multip licatione duorum laterum circa </
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