Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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1 L*IBER* S*TATICÆ*
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xml:space
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tantũ diſſimile, quod F H ultra F I, ver-
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ſus C declinet, quodq́; </
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<
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R P O angulo ſit æqualis, quapropter
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põderi G in columnam A M tantumdĕ
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potentiæ eſt, quantũ ponderi Q: </
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<
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pter cauſas 9 cõſect. </
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<
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brevitatis causâ omittimus) G tantam
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vim columnæ A B adfert: </
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<
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columnæ L M. </
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S ad Q, per 9 conſectarium: </
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<
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æquatur T P, & </
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</
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dum igitur I F ad F H: </
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eo tantũ diſſimile quod P R in alterũ
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latus à P T declinet & </
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rallela ſit, ut Q & </
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<
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qualem vim inferant, &</
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conſectario dictas, quantum potentię eſt
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ponderi G in columnam A B, tantundĕ
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& </
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<
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</
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rium, K ad G. </
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P R ipſi F H, & </
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Q ipſi G. </
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P R: </
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omnium ſituum proportio ex contrario demonſtrabitur.</
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locum obtinere ubi axis horizõti paral-
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lelus eſt, ita demõſtratur. </
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ejusq́; </
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punctũ firmum, F mobile, G põdus obliquè
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extollens, quod columnam eo in ſitu ſervat,
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cujus obliqua linea F H, I vero pondus rectè
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extollens, columnam itidem eodem ſervans
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in ſitu, ejusq́; </
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<
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ſimilis ratio eſto (ſi fieri poteſt) K F ad F H,
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atq; </
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ſit 1 ad 2: </
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poſito, prioris exempli columna demittitor,
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aut poſterioris extollitor, uſq; </
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<
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ad F H, ſit 3 ad 7: </
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<
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æquilibre erit, per antecedentia conſectaria,
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ut columna ſive altius elata, ſive humilius de-
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preſſa contra G æquilibris manſura ſit: </
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qui illud @@ ἀδύναπις eſſe manifeſtum </
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