Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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*DE* S*TATICÆ PRINCIPIIS*.
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ſolidi ex inſcriptis cylindris compoſiti à dato minus erit. </
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<
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ſcriptione tandem eò adſcenditur ut ſolidum factitium à conoïdali abl
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it diffe-
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rentiâ, quæ ſolido dato quocunque minor ſit, cui conſequens eſt AD dati co-
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noïdalis gravitatis eſſe diametrum, itaque gravitas ſitus unius lateris à gravita-
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te lateris alterius minus aberit, quam vel minimi ponderis differentiâ. </
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<
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legittimo ſyllogiſmi judicio ita concludam.</
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<
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">Ponderum ſitu gravium differentiâ minus pondus dari poteſt.
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<
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Itaque borum conoïdalis ſegmentorum ſitu gravium differentia nullaeſt.</
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<
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<
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">Et AD gravitatis erit diameter. </
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lis gravitatis centrum eſt in axe. </
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<
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<
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<
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<
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">A D axis ſecetur in E ratione dupla videlicet ut ſegmentum vertici conter-
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minum reliqui ſit duplum, ajo E eſſe centrum quæſitum cujus demonſtrario-
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nem ſolers & </
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trobaricis propoſ. </
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<
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atque planiſecantis & </
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">ſuperficiei ſectio eſto in I, K, deinde BCGF, IKLM
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cylindri circa conoïdale circumſcribantur, quorum gravitatis centra N, O:
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</
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<
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">præterea intra ipſum cylindri IKPQ inſcripti O itidem gravitatis erit centrũ. </
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Cum per 20 prop. </
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<
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fig-527.01.075-01
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fig-527.01.075-01a
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number
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122
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<
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527.01.075-01
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xlink:href
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http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.075-01
"/>
</
figure
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Eucl. </
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">igitur ſit ut DA ad AH videlicet 2
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ad 1, ſic circulus BC ad circulũ IK, etiam
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cylindri BC ad cylindrum IL (propter æ-
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qualĕ altitudinem) ratio dupla erit, quam
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obrem ſi BG 2 librarum ſtatu@ur IL erit
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1 libræ, ſed centra gravitatis ſunt N, O,
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ideoq́ue NO jugo in R ſecto ut NR
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radii RO duplus ſit, ipſum circumſcripto-
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rum cylindrorum gravitatis erit centrum,
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ſed & </
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diſtat, videlicet {1/12} totius AD. </
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r
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um eventus. </
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plicabimus.</
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<
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">Denuò iſta axis biſegmenta AH, HD, bifariam dividantur, unde tres cy-
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lindri inſcribantur & </
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<
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ubi AD conoïdalis axis ſit, centra verò cylindrorum I, K, L, M, AE verò
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dupla ſit ipſius ED ut ſupra. </
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ſic circulus BC ad circulum OP, erit quoque cylindrus BF ad OQ in </
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