Clavius, Christoph
,
Geometria practica
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LIBER QVINTVS.
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quinque triangula ABF, BCF, CDF, DEF, AEF, tot nimirum, quot in baſe ſunt
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latera, dicitur pyramis.</
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<
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autem eſt figura ſolida rotunda ad vnum punctum conſtituta, ſu-
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midis, & co-
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ni.</
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pra baſem circularem, inſtar pyramidis rotundæ,
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qualis eſt figura ABCDE.</
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<
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autem pyramidis, quam Coni area pro-
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ducitur ex multiplicatione baſis in tertiã partem
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altitudinis. </
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<
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xml:space
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<
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dimus, ex baſe in totam altitudinem gignatur
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priſma vel Cylindrus eandem habens cum pyra-
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mide, & </
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<
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"> producetur ex eadem baſe in tertiam partem
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duodec.</
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titudinis tertia pars illius priſmatis, vel Cylindri. </
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<
s
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">, Cum ergo pyramisſit
<
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<
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pars illius priſmatis, & </
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<
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">Conus tertia pars Cylindri, liquet tam pyramidẽ,
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duodec.</
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Conum produci ex baſe in tertiam partem altitudinis. </
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<
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tur in totam altitudinem, tertiam partem numeri producti, eſſe quoque aream
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Areapyrami-
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dis, & coni
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aliter.</
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pyramidis, vel Coni. </
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tem baſis: </
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<
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"> quod hac ratione tertia pars priſmatis, vel Conigignatur.</
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<
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">2. </
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<
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porro pyramidis, ſi triangularis eſt, cognoſcetur, vt lib. </
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<
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ditum eſt: </
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">ſi multilatera, reperietur, per ea, quæ eodem lib. </
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<
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<
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duodec. & 11.
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duodec.</
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mus. </
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<
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<
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tam pyramidis, quam Coni, obtinebitur, ſi in vertice ſtatuatur planum baſi æ-
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quidiſtans, ab eoque ad planum, in quo baſis, perpendicularis demittatur, ea-
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<
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ramidis, &
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coni.</
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que exquiſitè menſuretur. </
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<
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gari poſsit
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Geo metrice, ſi inclinatio vnius lateris ad baſem, & </
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<
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lateris cognoſcatur: </
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<
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">quia tamen hęc ipſa exploranda ſunt materialiter per ali-
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quodinſtrumentum, præſtatipſam quoque altitudinem ſtatim per inſtrumen-
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tum exquirere, pręſertim per inſtrumentum partium, quod lib. </
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<
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<
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pſimus: </
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<
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">cum inuentio illa Geometrica difficilior ſit, procedatq; </
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<
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ne, ac latere per inſtrumentum cognitis.</
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<
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<
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hæc, quę diximus, intelligivolumus tam de pyramidibus, C@-
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niſque rectis, quam de obliquis, & </
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midis, & Coni.</
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<
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III.</
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<
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<
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pyramidis, & </
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<
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tatam, & </
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<
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<
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ABCDEF, cuius baſes ABC, DEF, ſint parallelæ, & </
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<
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area inueſtiganda ſit. </
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<
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">Quod duobus modis fieri poteſt. </
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<
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">Primũ cogitetur integra
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pyramis ABCH, cuius altitudinẽ HG, perpendicularem ad baſem (licet pyramis
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actu nõ ſit integrata) ita inueniem
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. </
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<
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"> Quoniã eſt, vt ab AB, ad AH, ita DE, ad
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& </
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<
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<
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<
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