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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medio inter E, Gloco, è columnâ
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autem duo pondera I, K, depen-
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dento, ſingula 4 ℔, & </
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rum firmitudinis puncta C, D,
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axis L M, horizon N O.</
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<
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nobis, an axis L M ad horizon-
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tem N O parallelus futurus ſit;
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</
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<
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xml:space
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">an quicunque datus fuerit ſitus,
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retinebit; </
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<
s
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xml:space
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">an denique invertet ſe
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donec, E centrum gravitatis in
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pendulâ gravitatis diametro ſit,
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quæ eſt per H, quæ diverſitates
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evenire poſſunt, pro variâ ratio-
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ne gravitatis columnæ ad ponde-
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ra, quæ inde dependent.</
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">PRAGMATIA.</
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tatis diameter columnæ per E,
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hinc per G pĕdula diameter R S
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ponderum I, K, jugum erit E G, deinde ſecundæ propoſit. </
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<
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xml:space
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">adjumento, quo
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firmum anſae; </
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">punctum incidat, cognoſcetur. </
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xml:space
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">Si enim infra H ſit locus ejus,
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movet ſe L M donec ad horizontem N O parallelus ſit; </
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datus fuerit ſitus retinetur; </
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<
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xml:space
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">Atqui columna
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4 ℔ pendet, ponderum I, K, item ſingula 4 ℔, ut amborum totus 8 ℔ ſit ex
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conceſſo, E G itaque ſecta in T, ut E T ad T G illam rationem habeat quæ
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eſt 8 ad 4. </
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">Dico L M ſeſe moturum (quod T infra H ſit) donec ad horizon-
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tem parallelus frierit. </
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">Columna 4 ℔ pendeat, pondera vero I, K binas, ſumma
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utriuſque 4 ℔ fuerit: </
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medium) utratio E H ad H G eaſit: </
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<
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">dico L M (quòd in H
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incidit) quemcunque ſitum dederis ſervare. </
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">Deniq; </
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">columna 4 ℔ eſto, pon-
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dera I, K, vero ſingula 1 ℔, ut ſimul utrumque ſit 2 ℔. </
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<
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in V, ut E V eam rationem habeat ad V G: </
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& </
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gravitatis diametro fuerit.</
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tibus, ita liquet. </
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">Perpendicularis per T, ut T X, eſt pendula gravitatis diame-
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ter totius, eâ igitur omiſsâ, totoq́ue ex perpendiculari per H, ut H Y, ſuſpen-
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ſo (H autem firmitudinis punctum eſt) ſegmentum B A, K, verſus ponde-
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roſius erit, quam quod A D, I, verſus eſt, ideòque B A, K, deorſum verget,
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donec H in pendulâ gravitatis diametro totius fuerit, atque tunc L M ad ho-
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rizontem N O parallela fuerit.</
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<
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re, iſto pacto arguitur. </
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<
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<
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D & </
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