Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE* S*TATICÆ ELEMENTIS*.
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<
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xml:space
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">EF, obliquè illâ demittente, hae
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extollente in dato ſitu conſervetur, iſtæ autem continuatæ in I ſe interſecent.</
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<
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">Punctum I in columnæ AB pendulâ gravitatis diame-
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tro eſſe, nobis demonſtrandum eſt.</
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nea, deinde potétia ducendi deorſum, quæ
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erat in D, eſto deorium, contingenti inter
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C & </
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<
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<
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lumna itaq; </
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<
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xml:space
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& </
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">EH medio, quod pro extremo ſumitur,
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datum ſitum ſervabit. </
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xml:space
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& </
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<
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xml:space
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">communis utriuſque lineę terminus fue-
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rit; </
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<
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<
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retinebit, & </
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vitatis linea per I erit: </
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<
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xml:space
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<
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<
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xml:space
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">Columnam AB in fitu ſuo ſervent, hinc quidem CD obli-
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què demittens, illinc EF obliquè extollens, quæ continuatæ interſecant ſe
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in I. </
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xml:space
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">I in columnæ pendulâ gravitatis diametro eſſe nobis
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demonſtrandum eſt.</
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<
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<
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xml:space
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">linea inflexibili, potentia quoque ſurſum
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ducendi, quæ fuerat in E, eſto ſurſum contingenti inter C & </
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<
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xml:space
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quoquo loco ſumatur. </
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vis puncto inter CG, & </
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pro extremo ſumitur, datum fitũ retinebit.
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</
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<
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<
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xml:space
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">utriuſque lineæ com-
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munis terminus fuerit, in quo datum ſitum
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columna retinebit, atqui in eo quieſcĕte co-
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lumnâ, pĕdula gravitatis diametrus eſt per I,
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& </
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bus igitur lineis annuĕtibus, unde columna
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dependet, in infinitum continuatis, in co-
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lumnæ pendulâ gravitatis diametro ſeſe in-
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terſecant, quod nobis demóſtrandum erat.</
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<
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era
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horizontieſt perpendicularis, erit & </
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