Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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5 L*IBER* S*TAT. DE INITIIS PRAXIS* H*YDROSTAT*.
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<
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xml:space
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">QVomodo navis rerumq́ue quas vehit, aut cujuſlibet ſolidi aquæ innatan-
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tis pondus, è data parte demerſa inveniri & </
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<
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propoſitione apertè ſatis ediſſerui; </
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<
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">his igitur omiſſis paucula quædam 7 propo-
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ſitioni cognata & </
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xml:space
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">1 PROPOSITIO.</
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">Invenire quantò idem corpus materiæ levioris quàm
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aqua, in hacaltiùs demergatur, quàm in illa.</
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<
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">Verbigratia, Quæritur quantò altiùs navis Lugodini Batavorum in Rheno
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flumine immergatur quam in mari propè Cattorum vicum haud lõgè iſtinc.</
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Primum aquæ utriuſque, Rhenanæ ſcilicet & </
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">marinæ, materiæ gravitatem in-
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quirito, ea erit ut 42 ad 43, ita enim menſe Sextili experientia approbante edo-
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ctus ſum. </
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<
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pendebat ſcruptula 4260, marinum autem 4362, quorum ratio in minoribus
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terminis, ut 42 ad 43 ſatis vicina eſt.</
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<
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">Vnde concludes partem in Rheno demerſam, ad eam quæ in mari juxta
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Catto-vicum mergeretur eſſe, ut 43 ad 42, hinc Geometra pro datæ navis for-
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mâ rationem altitudinis hujus ad illam judicabit. </
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è 7 propoſ. </
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veritatem comprobare.</
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<
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">Quinto conſectario 10 propoſ. </
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<
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">mathematicè demonſtratum no-
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bis eſt, fundum aquæ characteribus E F iſtic inſignitum, aqua copioſiore, pau-
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cioreq́ue in eadem altitudine perindeaffici. </
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alienum & </
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<
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">naturæ contrarium ſuſpicari poſſet, Mathematicam illam demon-
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ſtrationem quinque exemplis, cujus experientia cuilibet in procinctuſit, dein-
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ceps ſumus illuſtraturi.</
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titudini G H; </
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">ſed pars I E inſiſtens ſujectæ aquæ K L B A minor ſit, quam pars
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ipſius G C D ſibi reſpondens, pendatq́ue aqua E A B
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1 ℔, G C D 10 ℔, ſitq́ue G C D cylindrus, is igitur
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ipſius E A B erit decuplus, hujus tamen in fundum
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A B impreſſum eſſe tantum aſſerimus, quantus ſit to-
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tius G C D in fundum C D. </
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tica machinatione ita demonſtratur.</
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