Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE* S*TATIGÆ ELEMENTIS*.
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unà cum ponderibus G & </
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omnium totus eſt 9 ℔, quæ eſt 1 ad
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2. </
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habet rationem ad levius 4 {1/2} ℔ radii
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R P, quæ longioris radii eſt R P ad
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breviorem R Q, ſitu igitur æquipon-
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dia ſunt ex ansâ E F per 1 propoſitio-
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nem, &</
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L M in dato ſitu manet, quod demon-
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ſtrandum fuit.</
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SIO*. </
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cognitâ columnâ unà cum pun-
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cto, &</
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æqualibus & </
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æquales radii, pendeatq́ue de B rectum pondus demittens ſive deſcendens,
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de C vero adſcendens ſive attollens, hujusq́ue jugum F G, firmumq́ue ejus
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punctum H, æquales autem radii H F, H G, angulusq́ue A B I æquetur an-
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gulo A C F. </
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adſcendens E, ex æqualibus radiis A B, A C æquales potentias habere de-
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monſtrandum nobis eſt. </
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deri D, pendeto.</
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A C in dato ſitu retinere, manifeſtum
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eſt, pondera enim D & </
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appenditor E, & </
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A B & </
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enim K & </
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tur, Eigitur & </
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dios A B & </
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