Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE* S*TATICÆ PRAXI.*
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haſtile eſt 12 ℔, itaque manus
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potĕtia tanta erit quanta pon-
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dus 6 ℔ ab H dependentium.</
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<
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">Sed ſi ab haſtili ex K depen-
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deat jucundum raptori præ-
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mium gallus I 3 ℔ ut K G
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ipſius G H ſit tripla palam eſt
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prædam 9 ℔ pondus adjicere,
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atque univerſim manus po-
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tentiam 15 ℔ præmere.</
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<
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">Verùm hæc manu recta
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deorſum premente intelligan-
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tur, atqui ſi in obliquum duca-
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tur, quæ ratio erit rectà deſcĕ-
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dentis ad deſcendentem obliquè, ea erit per 21 propoſ. </
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<
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ris recti deſcendentis ad deſcendens obliquè, unde reliqua per ejuſdem lib.
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</
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<
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">Hactenus quidem affectiones expoſitæ nobis ſunt, ubi utrimque à ſirmitu-
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dinis puncto ſcapi extenduntur. </
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">* A B axis eſto ſcapi 10 pedes longi pondere 400 ℔, fixi termino
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A cætera verò mobilis, cui pondus 1000 ℔ infideat & </
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gravitatis diameter ſit C D, ponderis vero F G. </
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B, pondus E commoveatur.</
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">Inveſtigato conjunctim utriuſque gravitatis diametrum, jugo G D quæ
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connectit diametros E G, C D ita diviſo in H, ut ſegmentorum H G, H D
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ratio ſit quæ vectis 400 ℔ ad onus F 1000 ℔ ſeu quod idem ſit ratione ſubdu-
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pla-ſubſeſquialtera, Si v. </
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des ad A H 2, ſic onus ponderis & </
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">vectis 1400 ℔, ad 280 ℔ potentiam videlicet
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quaad B opus ſit ut cæteris vi æquipolleat, hoc eſt quaſi 280 ℔ attollendæ fo-
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rent, cujus demonſtratio è 14 propoſ. </
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">Verumenimverò ſi Staticus ſimpliciſſima cauſæ cognitione computum in-
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ſtituere malit, Iſorropica diagrammata ſibi effingat, ut Geometra ad juvandam
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memoriam geometrica depingit. </
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hinc I L referat bipedalem rectam A H & </
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notat, hic erit L, unde M 1400 ℔ dependent: </
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punctum intelligitor, deſcribatur I N æqualis priori IK, & </
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