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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<
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xml:space
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<
s
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xml:space
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">Quò anguli ductariarum linearum unde pon-
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dera ſuſpenſa ſunt, recto angulo proximiores ſunt: </
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<
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xml:space
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étias eſſe
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majores. </
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<
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xml:space
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">Et contra, quo longius indidem, id eſt ab angulo recto diffident, po-
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tentias eorundem eò quoque minores eſſe.</
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xml:space
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">Duæ annuentes lineæ, unde columna dependet,
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ter diftantes,
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n
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on paral
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-
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le@e
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.</
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nitùm continuatæ, in columnæ pendula gravitatis dia-
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metro ſeſe interſecant.</
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<
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xml:space
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<
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">AB columna, ex duabus lineis annuentibus C D, E F, depen-
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deto, quæ in G & </
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<
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">H continuatæ, ſeſe inutuò in I ſecant.</
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</
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<
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<
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">Q*VAESITVM*. </
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xml:space
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">Punctum I in columnæ A B pendulâ gravitatis diame-
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tro eſſe, demonſtrandum eſt.</
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eſt angulus; </
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<
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judicum eſto, ut quicunq; </
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<
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HE, GF pro extremo ſumptus fuerit, co-
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lumna, ex eo datum ſitum ſervet. </
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I extremus punctus, utriuſque lineæ com-
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munis, ex illo igitur columna ſitum ſuum
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retinebit. </
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perpendicularis per I columnæ pendula
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gravitatis diametris fuerit, in qua eſt I.</
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<
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deto, continuatis in G, H uſque, mutuò ſe in I ſecantibus.</
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xml:space
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tro eſſe, demonſtrandum eſt.</
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rigidæ & </
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</
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æquales ſunt potétiis CD. </
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<
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ita etiam illæ columnam in ſuo ſitu ſuſtinent. </
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Et quodcun que punctum in illis extremum
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nobis fuerit, illud columnam in ſuo ſitu ſer-
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vaverit. </
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<
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lineæ communis punctus; </
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<
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lumna (Mathematicè intelligas) datum ſi-
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rum retinet, & </
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<
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per I fuerit, & </
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