Clavius, Christoph
,
Geometria practica
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LIBER QVARTVS.
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inquirendum erit fragmentum vltimæ particulæ (ſi quod ſuperfuerit) in parti-
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xml:space
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tere figuræ in
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quotuis part{es}
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æquales, quo
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pacto alia la-
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ter ain eiſdem
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partib{us} fiant
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nota.</
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bus milleſimis, per ea, quæ Num. </
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<
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<
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<
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<
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<
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<
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xml:space
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ſionibus figurarum minus à vero aberrabimus.</
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<
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<
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autẽ moueat, aut perturbet, quod rectas dixerimus metien-
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das eſſe nonnunquam mechanice per catenulam aliquam ſerreã, aut per inſtru-
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mentum partium. </
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<
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xml:space
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">Nam in hoc dimetiendi negotio, præſertimin campis, & </
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admittenda omnino eſt huiuſmo dimechanica linearum dimenſio, tum quia a-
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pud omues agrimenſores hic mos eſt: </
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<
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">tum quia non ſemper via Geometrica id
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præſtare poteſt; </
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<
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">tum vero maximè, quia in dimenſi onibus agrorum, ſiue figu-
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menſionum
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admittendam
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eſſe in nonnul-
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lis lineis &
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angulis me-
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chanicam
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menſuratio-
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nem.</
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rarum ſatis eſt rem prope verum attingere, dum modo notabilis error non cõ-
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mitatur. </
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<
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">Quod ſi hæc dimenſio quarundem linearum alicuinõ probetur, is pro-
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fecto è medio tollat, neceſſe eſt, omnem agrorum, figurarumue dimenſionem.
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<
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">Vnde enim conſtat, agrum propoſitum, vel figuram habere latera cognita, niſi
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hæcipſa per menſuram aliquam materialem ſint explorata? </
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menſio mechanica, tanquam à vero parum aberrans, ab omnibus vſurpatur,
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cur eamin lineisintra figuras metiendis reij ciendam cenſeamus, nõ video. </
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nego tamen, viam Geometricam, quando fieri poteſt, adhiben dam eſſe. </
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guris quoque, vbilatera non ſunt nimis magna, vtendũ cenſeo doctrina, quam
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in inſtrumento partium lib. </
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etiamijs, quæ in eodem lib. </
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<
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<
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">de quauis particula lineæ cogno-
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ſcenda, in partibus ſaltem milleſimis, ſcripſimus, quod hac ratione vix à vero
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quis aberrare poſsit.</
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<
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de mechanica angulorum dimenſione per quadrantem intelligen-
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dum eſt: </
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non rectangulorum.</
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III.</
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<
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Rhomboidis
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area</
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lum rectum habent, vel certe non omnes rectos: </
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boides, & </
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ctum: </
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<
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nullum: </
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bi & </
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ducitur ex ductu perpendicularis in latus, in quod per-
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pendicularis cadit. </
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rate ſit prius exploranda vel per inſtrumentum partium initio
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huius operis conſtructi, vt paulo ante cap. </
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mus, vel alio modo, vt mox dicam. </
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<
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& </
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perpendicularis AE, in latus B C, Nam rectangulum A
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ſub A E, & </
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mo B D, quòd hæc duo parallelogramma ſint inter </
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