Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE* T*ROCHLEOSTATICA*.
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ſurſum in G; </
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xml:space
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">itemq́ue B G, F E donec ſeſe interſecent in H; </
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xml:space
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terſecet I K parallela contra D C. </
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<
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xml:space
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">His ita diſpoſitis, ajo eſſe I K ad K H, ut
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pondus ab F manu ductum ad datum B; </
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">itemq́ue ut H I ad I K, (quæ in exem-
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plis unius trochleæ, quale hoc eſt, perpetuò æquantur, quia continuatam C D
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in H occurrere neceſſe eſt; </
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<
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xml:space
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">angulumq́ue G H I angulo G H C æquari) ſic
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pondus quod à manu F ad id quod ſuſtinetur à C. </
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>
<
s
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xml:space
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">has potentias ob cauſas
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jam expoſitas itidem in unius trochleæ exemplo æquari manifeſtum eſt, ſingu-
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lis quippe ponderis ſemiſſem perferentibus; </
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<
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">ponderis inquam, cujus ad datum
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pondus ratio ſit, per 5 conſectarium 1 partis additamenti ad Staticam, quæ H K
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ad H I.</
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<
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">Sed fune ductorio hoc obliquo circa duas pluresvé trochleas voluto, uni-
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verſa item ponderum ratio cognoſcetur. </
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<
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">Etenim, dicis gratia, ſecunda figura
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omninò ſimilis effingatur ſecundæ figuræ primi exempli, tantum hoc uno di-
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verſæ ſint, quod manus F hîc obliquè & </
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<
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<
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">Iam igitur per
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5 conſectarium 1 partis hujus Additamenti quantum ponderis ſingulis funibus
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cedat manifeſtè liquet. </
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<
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pondus dependet ſurſum educitor in G ut B G, tumq́ue F E continuata, ſe-
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cet infinitam B G in H. </
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<
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xml:space
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">à puncto I ſuprema trochlea dependeat, unde
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ad H adjungatur recta H I, cui inter F H & </
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