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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<
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xml:space
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<
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diametrum illam, per 1 prop. </
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<
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xml:space
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">inveſtigato, quæ aciei axis tranſverſi E
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æquidiſtet, ſitq́ue F, deinde jugi & </
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<
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xml:space
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">uncorum confinia connectito recta G H,
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ejusq́ue medium ſit F, hinc ſecato F I ratione quam gravitas librilis cum exa-
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mine puta 1 ℔ habetad lances, uncos, & </
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<
s
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xml:space
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">funes è quibus dependent quæ item
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1 ℔ ponderent, biſecta igitur F I in K, ipſum K erit punctum unde libra ſuſpen-
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ſa quamcunque dederis theſin retinebit, tum jungito K G, hanc pendula dia-
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metro E L per E ducta interſeces in M. </
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<
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">Ajo, pondus illud cujus ratio ad 2 ℔
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(etenim 1 ℔ pro jugo altera pro lancibus additæ 2 ℔ valent) eadem ſit, quæ
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M K ad M G, lanci D impoſitum, libram tali ſitu retinere. </
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<
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xml:space
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">Dicis gratia fue-
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rit M K pars quinta & </
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<
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">vigeſima radii M G, etiam {1/23} duarum ℔ efficiet ne li-
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bra ab iſta theſi recedat, cujus cauſa è 12 propoſ. </
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<
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majoris perſpicuitatis ergô paucula hic in medium afferemus.</
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">Siquidem K centrum gravitatis ſit dati, etiam perpendicularis per K edu-
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cta erit ejuſdem gravitatis diameter, ſed perpendicularis per G eſt item ponde-
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ris in lancem injecti diameter, ideoq́ue K G ipſorum jugum, quod in M pun-
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cto ita partiti ſumus, ut ratio ſegmentorum M G, M K ea ſit quæ ponderum
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reciprocè quare perpendicularis per M demiſſâ, erit utriuſque communis gra-
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vitatis diameter ſeu anſa, atqueideo librile iſtum ſervabit ſitum.</
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dus invenimus quod alteræ lanci impoſitum ipſum librile in optata theſi con-
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ſervet. </
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<
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ſtet, ſine quibus aciei axis tranſverſi inniti non poſsit; </
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ces invenire ut ipſum librile datum retineat ſitum.</
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<
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poſſe, ſed declinare, additis autem lancibus rectè inniti, cujus rei cauſa pragma-
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ticè nobis inveſtiganda eſt.</
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acies C. </
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telligito) ejus ponderis invenire, quæ jugum eo quem dederis ſitu conſervent.</
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per 1 propoſ. </
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<
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t
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ra cadet, ſiquidem ex hypotheſi librile in C quieſcere nequit, atque adeò mul-
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tò minus inſra C. </
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<
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<
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cet infra C, ſecus enim ſi vel in C vel ſupra caderet, nullæ lances quantum-
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cunque graves jugi datum ſitum aut ad horizontem æquidiſtantiam tueri poſ-
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ſent, deinde G biſecet E F & </
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<
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ſic librile ad quæſitarum lancium gravitatem, dicis gratia ſi C D æquetur C </
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