Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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Cap. 12. dę
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vacui neceſ
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ſitate.</
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<
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lorum plurium figurarum planarum ad vnum
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punctum plani ſubiecti, illę ſpatium omninò com
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plebunt, quotieſcumque æquales quatuor angulis
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rectis fuerint, ſin minùs aut penetratio in exceſſu, aut
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interſtitia inania in defectu relinquere debent. </
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<
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id
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verò figurarum planarum aliæ regulares ſunt, ſcilicèt
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æquiangulæ, & æquilaterę, aliæ irregulares,
<
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abbr
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cõſtat
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expan
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ex Theone, Pappo, Maurolico, & alijs, ſex angulos
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regularium triangulorum ad vnum punctum plani
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ſubiecti concurrentes ſpatium implere, eò quòd
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abbr
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sũ-mam
">sum
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mam</
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quatuor rectorum adæquant, ſic etiam apices
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quatuor angulorum quadratarum figurarum ad
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abbr
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vnũ
">vnum</
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>
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punctum eiuſdem plani concurrentes ſpatium com
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plent, non ſecùs apices trium angulorum hexagona
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lium figurarum, paritèr ſpatium adimplent, & nullæ
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aliæ; figurarum verò irregularium anguli ad vnum̨
<
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punctum ſpatij plani concurrentes, qui ſpatium
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expan
abbr
="
cõ-plere
">con
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plere</
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>
poſſunt propemodum infinitę ſunt, ſcilicèt om
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nes illæ, quorum anguli conuenientes ſummam qua
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tuor rectorum æquant. </
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<
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id
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">Eaſdem proprietates habent anguli ſolidi, qui in
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vno plano ſuis faciebus adaptari poſſunt, vt ſunt priſ
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mata rectangula, & nonnulla alia, quorum baſes, aut
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ſunt poligona regularia, aut non, & quando anguli
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baſium ad vnum punctum plani ſubiecti concurren
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tes ſpatium prædictum planum complent, etiam ſu
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perficies planæ laterales in communi latere erecto
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conueniunt, & tunc componunt, veluti
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, </
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