Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
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DE C*HALINO THLIPSI.*
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<
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xml:space
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">Quomodo ope {προ}πςραςιχ{οῦ} frenum uſuifiat
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accommodatum.</
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<
s
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xml:space
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">Freno {προ}πςραςιχ{\~ο} lupum, qualem equo idoneum judicabis, adaptato,
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deinde ope ſcapi per cavum mobilis, reliquiſque partibus {προ}πςραςιχ{οῦ} mo-
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bilibus, longitudo & </
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<
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xml:space
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">ſcapi, & </
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<
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">capitelli, & </
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<
s
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xml:space
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">angulus ſub rectis à punctis conta-
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ctuum eductis comprehĕſus inſtituantur primò tanta, quemadmodum equo
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commodiſſimum judicabis: </
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>
<
s
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xml:space
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">poſt autem cum indito ei freno edoctus eris ali-
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quam harum quatuor partium, aut inſimul omnes mutatione opus habere, ut
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vel ſcapi, vel capitella producenda ſint minuendave, vel angulus ſub lineis à
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contactuum punctis eductis amplior arctiórve inſtituendus, vel pſellium au-
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ctius contractiusve fabricandum. </
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>
<
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xml:space
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">iſta in ſingulis labore minimo nec fallenti-
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bus indiciis novari poterunt. </
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<
s
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xml:space
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preserve
">ut neque frenum equo dematur, nec eques ab
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equo deſcendat. </
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<
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xml:space
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">Cum igitur προπςραςιχὸν ita formaris prout equo erit com-
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modiſſimum, ſimili partium præcipuarum poſitu & </
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<
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xml:space
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">reſponſu, hoc eſt, ut an-
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gulus ſub rectis à tactuum punctis eductis comprehenſus, rectæq̀ue imagina-
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riæ eum comprehendentes illis æquales ſint. </
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<
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xml:space
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">reliqua pro libitu adornentur
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phaleræ enim ſcaporumq́ue inverſuræ cæteraq́; </
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>
<
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xml:space
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">varietatem nullam inducunt,
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modo catellæ intermedię, pſellium, lupuſq́ue ſimiliter convenienti ſitu & </
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<
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ma confiant. </
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<
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xml:space
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">Frenum ita deformatum equo non minus congruum erit quam
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προπδυςιχὸν fuerat, eodemq́ue plané malo equum coget
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Ire viam quam docet eques ---
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quod I*LLVSTRISSIMVS* P*RINCEPS* reapſe expertus comprobavit.</
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<
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<
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">Nonnulli eorum, qui hancipſam artem libris editis tractarunt, frenos fa-
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bricant in quos varii ſcapi inæqualium verſurarum inſeri poſsint. </
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<
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">ſed ſi illic an-
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nelli contactus eodem maneat loco, majores minorésve inverſuræ ad rem ni-
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hil afferent momenti, quemadmodum prima propoſitione docuimus. </
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<
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xml:space
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">vel ut
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aliis verbis eandem ſententiam exponam, ſi annelli contactus alio ſit loco,
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major minórve ſcapi inflexio non eſt cauſa effectus varietatis ejus, quam in
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equi ductu ſentimus, qui inde exiſtit quod annelli contactus alio loco cõ ſiſtat
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unde inveſtigatio iſtiuſmodi latentibus & </
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<
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">ignoratis cauſis incertiſsima eſt & </
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obſcura, ut perquam rarò hac via freni idonei congruiq́ue confiant.</
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<
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<
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">Qui catholicum ſtatices theorema de machinarum effectionibus conſide.
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</
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<
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">rabit, inde ita inferet. </
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<
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xml:space
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">quia pari manus ductu, etiamſi capitella ſint inæqualia,
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par pſelliorum motus exiſtat, hinc quoq; </
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<
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ſequi. </
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<
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">ſi enim duo freni conſtruantur, quorum an-
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guli ſub rectis à punctis contactuum eductis comprehenſi inter ſe æquentur,
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pſelliaq́ue utrobique parem habeant laxitatem, ſcapiq́ue capitellis proportio-
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nales quidem ſed inæquales ſint, in illis utrobique pſellium æquali manus du-
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ctu tantundem commovebitur, unde par preſſus eſſicientia exiſtet. </
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<
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ſuo diagrammate illuſtiius erit.</
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