Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*I LIBER STATICÆ*
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eſto, ut ſecunda figura exhibet, & </
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gmentumq́ue columnæ P O C B contra P O D A æquilibre pendeat, atqui
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illud iſto & </
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">ponderoſius eſt (C F G D A enim æquatur F G C B,
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triangulum autem FHI deſectum de F G C B minus eſt triangulo O H G
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de F G C B deſecto, ideo & </
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quod planè abſurdum eſt. </
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ad horizontem M N parallelus eſt, ut in
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primo diagrammate.</
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theorema habendum eſt.</
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">Gravitatis centrum pendentis corporis in pen-
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dulâ gravitatis diametro eſſe.</
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grammatis non eſt in I O pendulâ gravitatis
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diametro. </
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<
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tis columnæ, quemcunque ei ſitum dederis, ſervat.</
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centrum E firmum fixumq́ue, quo de linea
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E F ſit ſuſpenſa, axis G H ad horizontem I K
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parallelus. </
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A B C D, quemcunqueſitum dederis, reti-
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nere demonſtrandum eſt.</
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affingamus ſitum, quam prius, ut ſecundâ
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hæc figurâ exhibetur, producaturq́ue F E, ut in L uſque, ſecans A B in M,
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eq́ue ſuo ſitu, ſi quidem poſſit, emoveatur, & </
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M L C B nutet deſcendatq́ue. </
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lia ſunt, ideoq́ue æquilibria, æquilibrium
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igitur alterum ponderoſius eſſe altero conſe-
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quens erit, quod prorſus abſurdum eſt. </
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lumna igitur ſitum ſuum obtinet, aut alium
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quemvis, quicunque ei tributus fuerit.</
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punctum columnæ centrum fuerit, quemli-
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bet datum ſitum ſervabit.</
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