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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xml:space
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neam A B tangit in puncto G, tanquam
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firmo, globi axis G H perpendicularis eſt ad
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A B: </
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<
s
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xml:space
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">quapropter amoto globo, loco ejus co-
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lumna D ejuſdem ponderis cum globo po-
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natur, ut axis G H (cujus punctum firmũ G)
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perpendicularis ſit lateri A B, & </
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<
s
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xml:space
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obliquè extollens ad A B parallela ſecans la-
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tus columnæ in I; </
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<
s
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xml:space
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">erit etiam nunc, quemad-
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modum A B ad B C (ratio autem eſt dupla,
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utante) ita columna D ad pondus E.</
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<
s
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xml:space
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">PErpendiculari D K è columnæ centro D productâ, ut ejus latus in L ſe-
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cet, triangulum LDI ſimile erit triangulo A B C, anguli enim A C B & </
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L I D recti ſunt, & </
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xml:space
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rallelæ ſunt ad BC, AB. </
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xml:space
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ad B C: </
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<
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ad B C: </
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<
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xml:space
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">ita columna ad pondus E, per
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4 confectarium, & </
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<
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ad D I: </
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<
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neam K D ſi pondus M, quod rectè
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extollat, & </
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adjungatur, ad columnam etiam æqui-
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pondium erit, per 14 propoſit. </
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<
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xml:space
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L D ad D I: </
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<
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">ita M ad E.</
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</
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">B N ducatur, ſecans A C continuatam in N, conſimiliter D O ſecans
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continuatam L I, hoc eſt, latus columnæ in O, ut angulus I D O æqualis ſit
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angulo C B N. </
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">Appendatur quoque ad D O pondus P obliquè attollens,
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quod (amotis M, E ponderibus) columnam in ſuo ſitu conſervet. </
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D L & </
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gulorum D L I & </
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ſunt, hujuſmodi concluſio inde dedu-
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citur. </
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</
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<
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">ita ſacoma lateris B A ad antiſacoma
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lateris B C (per 2 conſectarium.) </
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<
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xml:space
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quemadmodum D L ad D I: </
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<
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xml:space
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">ita ſaco-
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ma lateris D L ad antiſacoma lateris
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D I, hoc eſtita M ad E. </
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<
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ga latera triãgulorum ſimilium A B N,
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L D O ſunt A B & </
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<
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D O. </
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<
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<
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<
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a ſacoma B A ad an-
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tiſacoma B N (per 1 confectarium) Et quemadmodum D L ad D O: </
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<
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lius ſacoma ad hujus antiſacoma, id eſt, M ad P. </
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<
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aliovorſum; </
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