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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ſum è D unam pendeat, denique CD jugum ſit.</
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<
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<
s
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">CD ita dividitor, ut majus ſegmentum quod minoris
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ponderis eſt pendulam diametrum verſus, illam rationem
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habeat ad minus, quam majus pondus ad minus. </
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<
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in E, ut quemadmodum 3 ℔ A, ad 1 ℔ B: </
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ad EC. </
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">Dico lineam per E pendulam, eſſe anſam.</
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<
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xml:space
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">2 Exemplum.</
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">Datum pondus eſto columna ABCD 6 ℔ pendens, ſimiliter
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columnæ primæ propoſitionis diviſa. </
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">& </
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<
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xml:space
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">Columnæ pendula gravitatis diametrus
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eſt IT, ponderis verò Y eſt BQ, TQ ju-
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gum ita dirimédum eſt, ut ejus ſegmenta ra-
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tionem habeant, quæ eſt inter 12 ℔ Y, & </
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6 ℔ columnæ, breviusq́; </
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deroſioris Y diametrum verſus ſit, quæ eſt
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in X. </
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<
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<
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ex X pendeto.</
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">Columnę pendula diameter eſt IT pon-
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deris verò Y, NX, TX jugum ita parti-
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tum, ut ſegmenta rationem habeant 6 ℔ Y,
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ad 6 ℔ columnæ, quod in V incidit, eritq́ue
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VL anſa quæſita.</
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<
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">PEndula diametros ponderis MLBCY eſt NX, MLAD verò eſt SG,
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& </
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">jugum XS, quod ita ſecandum eſt, ut ſegmentorũ ratio ſit eadem quæ
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8 ℔ pondens MLBCY ad 4 ℔ MLAD, & </
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dulâ quæ eſt V gravius pondus verſus ſit, atque hoc modo VL quæſita erit
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anſa, ut prius.</
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