Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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loco ponderis obliquè attollentis ſub-
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ſtituatur firmitudinis punctum quale
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hic vides, perſpicuum eſt hoc affici
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preſſu ponderi G æquali, atque iſtiuſmodi obliqui-
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tate niti, qualem oſtendit obliqua linea L E.</
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">LE, MF continuatæ concurrant,' pun
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ctum concurſus per 25 propoſ. </
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<
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gravitatis ejus diametrum. </
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catur quanta obliqua preſſio puncto E infideat; </
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cito pendulam diametrum à centro P quæ occur-
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rat continuatæ M F in Q, hinc ab Q per E rectam
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Q R ut R ſit in A M. </
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<
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">quæ cum ita ſint, preſſio erit
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ab R verſus E. </
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">Atqui ut etiam quanta ea ſit cognoſ-
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cas, uſurpato E R tanquam lineam obliquè tollen-
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tem, & </
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erunt in proclivi.</
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">Sed ut rationem ponderum è funibus dependentium explicemus, eſto co-
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lumna AB, cujus centrum C, eq̀ue duobus firmi-
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tudinis punctis D, E ſuſpenſum, eductis ex cen-
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tro C duabus lineis C D, CE, quare iſtæ per 5 defin.
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">ſunt columnæ gravitatis diametri, ideoq́ue H I paral-
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lela contra C E inter C D, C F educta erit C I per 13
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defin. </
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<
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">linea rectà attollens, C H autem obliquè, unde
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efficitur ut C I ad C H ſic pondus illius recta attol-
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lens ad pondus hujus attollens obliquè. </
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ctà tollens quod pertinetad C I, totius columnæ pon-
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deri æquatur; </
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pondus, ad pondus quod pertinetad D. </
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concludetur pondus pertinens ad E ductâ ab I in C E
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rectâ IK contra D C parallelâ; </
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tollens C I ad tollentem obliquè C K, ſic totius columnæ pondus, ad pon-
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dus ſubnixum ipſi E.</
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<
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">Verùm quia C K perpetuò eſt æqualis HI, nihil eſt neceſſe ducere hanc
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poſtremam I K, omnesq́ue neceſſarii cogniti termini inſunt tribus trianguli
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H I C lateribus: </
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ut C I ad I H, ſic pondus columnæ ad id quod pertinet ad E. </
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CH ad HI, fic pondus quod ab D ad pondus quod ab E ſuſtinetur.</
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