Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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1 L*IBER* S*TATIC Æ*
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<
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<
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xml:space
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<
s
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xml:space
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527.01.044-01
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lens põdus ad Y extollĕs obliquè, per 20 propoſ.
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</
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<
s
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xml:space
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">Atqui triangulũ Æ OE Z triangulo OE S A ſimi-
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le eſt, quorum homologa latera ſunt, OE Z cum
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OE S, & </
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<
s
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<
s
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xml:space
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">erit igitur quemadmo-
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dum A S ad S OE: </
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<
s
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xml:space
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<
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ſequenter quemadmodum Æ Z 2 ad Z OE 1: </
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<
s
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pondus rectè extollens 4 lib. </
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<
s
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">ad Y. </
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<
s
xml:id
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">Innotuit igi-
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tur Y 2 ℔ pendere, quod probandum ſuit. </
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<
s
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xml:space
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militer in quibuſvis aliis exemplis proceditur.</
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</
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<
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xml:space
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">C*ONCLVSIO*. </
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<
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xml:space
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">Datis igitur, notâ columnâ
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punctis q́ue in axe ſirmo, &</
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<
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<
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<
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<
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">ego pondus 4 ℔ rectè
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ex-
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t
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ollens dabit γ 2 ℔. </
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<
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">Verum ut operatio ipſirei & </
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<
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xml:space
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">natur æ magis conformis ſit (intra
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ſolidx
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m corpus enim AS & </
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<
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xml:space
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">S OE delineari nequeunt ) externam perpendicularen
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s
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in exemplo pro internâ aſſumere placuit.</
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<
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<
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">Quomodo autem terminus ignotus, ut pondus rectè extollens, linea tam rectè. </
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obliquè extollens, columna, datis tribus inversâ & </
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">alternâ proportione innoteſcat, igno-
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tum eſſe non poteſt, quapropter brevitati ſtudentes, omittemus.</
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">Æqualia pondera ſuſpenſa de ductariis lineis, quæ ex
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eodem axis puncto in contrarias partes ductę æquales cum
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axe angulos faciunt: </
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<
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xml:space
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">in columnam æqualem vim poten-
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tia mq́ue exercent.</
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">A B columna, C D axis, E firmum, F mobile punctum eſto,
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unde G obliquè extollens pondus dependeat, in ſuo ſitu columnam ſervans,
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cujus obliqua linea F H. </
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<
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dem à puncto
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ſcilicet F, & </
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aliovorſum depĕdeat
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, ejuſdem cum G pon-
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deris, cujus obliqua linea F K, æquans K F D
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angulum H F C angulo.</
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<
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<
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<
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deris I tantundĕ potentiæ eſſe in columnam
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A B, quantum eſt ponderis G, id eſt, & </
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<
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pondus (coërcito eſt amoto G) columnam
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eodem in ſitu tenere.</
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</
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<
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<
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tur, quod non minus, in illo ſitu columnam ſuſpendat, cujus recta extol-
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lens eſt F M.</
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