Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE* H*YDROSTATICES ELEMENTIS*.
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minus inſidere pondus quàm A C ζ γ V R, fundo R V X S minus quàm
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R V Z δ X S, item fundo S X Y T minus quam S X α ε Y T, denique ſundo
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T Y D E minus quàm T Y β H D E, toti quoq; </
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<
s
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xml:space
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">fundo A C D E minus inſide-
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bit ponere omniũ horũ, hoc eſt, corpore circumſcripto A C ζ γ Z δ α ε β H D E.
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<
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">Atqui fundo A C D E, qui in diagrammate quadrãtibus diſtinguitur, ſic in octo
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æqualia ſegmenta divio palam eſt corporum dimidiæ columnæ A C H E D
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hujus inſcripti illius circumſcripti ab ipſa differentiam dimidio minorem fore
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quàm nunc ſit: </
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<
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xml:space
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">quare hujuſmodi fundi ſectione infinita eo devenitur, ut differĕ-
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tia ponderis (ſi qua tamen hîc ſit) fundo A C D E incumbĕtis a põdere dimidiæ
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columnæ A C D E quolibet minimo põdere adhuc minor ſit. </
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<
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xml:space
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">Gravitas cujus à pondere fundo A C D E inſidente differentia minor eſt quolibet
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pondere dato, æquatur ponderi fundo A C D E inſidenti.</
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<
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">Sed pondus dimidiæ columnæ A C H D E eſt gravitas minus differens à pondere
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fundo A C D E inſidente quam quodlibet datum.</
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<
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">Exponatur ſecundo A B vas plenum aquæ, fundumq́ue A C D E
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quadrangulum ad horizontem in angulo obliquo inclinatum, ejusq́ue ſupre-
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mum latus A C conſiſtar in A C F G aquæ ſuperficie ſumma. </
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ipſiusq́ue fundum dividatur conſimiliter antecedenti 1 exemplo, & </
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pendicularis ſit àſummo fundi latere in planum, per inſimum latus E D ad ho-
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rizontis paralleliſmum eductum, demiſſa. </
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fundo A C D E ſubnixum dimidiæ columnæ cujus baſis A C D E, altitudo
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A υ, æquari demonſtrato. </
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punctis ο, π, ρ in quatuor æquas partes diſſecator.</
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aquę ſummitate, inſidet aliquod
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pondus, minus tamen quàm co-
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lumna aquea baſis A C V R, alti-
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tudinis A ο, nam ſi per R V planũ
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horizonti æquidiſtanter duce-
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retur per 10 propof id hoc pon-
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deris ſuſtineret, nuncverò cum
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ſublimiori ſit loco minus ſuffert
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quam columnam iſta baſi & </
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titudine, hoc eſt, A C ζ γ V R.
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cætera proſequeris; </
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cludes fundo A C D E inſidere corpus
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æquale ipſi A C H D E, hoc eſt, colum-
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næ baſis A C D E, altitudinis A υ (nam
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A υ æqualis eſt perpendiculari ab H
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in planum A C D E) tandem inquam
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concludes fundo A C D E inſidere a-
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queam molem magnitudine æqualem
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columnæ cujus baſis A C D E, altitu-
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do A υ.</
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