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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">EFBC tertiimodi mutatis, pro illo corpus plumbeum,
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pro hoc ligneum ejuſdem ponderis ſuſpĕduntor,
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eritq́ue modus quartus, uthîcvidere eſt. </
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in eodem ſitu manere, ideoq́; </
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ſitu æquipondia, radiosq́ue ejuſdem rationis eſſe
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nemini dubium eſſe poteſt.</
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idem demonſtrari poteſt, & </
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ſecta, axisq́ue inferioris biſegmĕti EC, eſto GH. </
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EC porro ſecta plano IK, ad baſin ED
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parallelo, axem GH ſecante in L, cen-
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trúmque gravitatis ſegmĕti IKDE eſto
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M, in medio GL, ſegmĕti verò IKCF
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ſit N, in medio LH, O denique totius
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ABCD, in medio EF. </
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diameter, totius corporis ABCD, MQ
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ſegmĕti IKDE, NR ſegmĕti IKCF.
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quin columnæ ſegmentum dextrum ſi-
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niſtro æquilibre ſit ſitu.</
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ut in paradigmate exhibetur, ſuſpenſo, ABFE corporeum jugum antiquum
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nihilo minus obtinere ſitum dubium non eſt. </
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diviſum ſingamus, & </
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ſeparatum, ut quò Natura ſert cadere poſſit,
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verum cum utrumq; </
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M, N dependeat, primum obtinebit ſitum
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per 4 deſinitionem, & </
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ABFE quicquam mutabitur. </
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eandem rationem ad IKCF habere, quam
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radium OR ad OQ, jam antea experien-
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tia docuit, adeo quidem ut quod prius in
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S*TATICO* jugo (hoc eſt lineâ) exhibui-
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mus, id jam nunc in corporeo exhibeamus. </
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duarum gravitatum ſitu æquilibrium ponderoſior, illam rationem habet ad
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leviorem (cujuſcunque vel materiæ, vel formæ ſint corpora) quæ longioris
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radii eſt ad breviorem, quod nobis demonſtrandum fuit.</
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primæ propoſitionis converſo conſequens eſt; </
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ris ea ratio eſt ad levius, quæ longioris radii ad breviorem, pondera eſſe ſitu
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æquipondia.</
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