Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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<
s
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xml:space
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">Hanc cycloidis dimenſionem primus invenit, via tamen
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longe alia, eximius geometra Chriſtophorus Wren Anglus,
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eamque deinde eleganti demonſtratione confirmavit, quæ
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edita eſt in libro de cycloide viri clariſſimi Ioannis Walliſij.
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<
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">De eadem vero linea, alia quoque multa extant pulcherrima
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inventa noſtri temporis mathematicorum, quibus præcipuè
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occaſionem præbuere problemata quædam à Blaſio Paſchalio
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Gallo propoſita, qui in his ſtudiis præcellebat. </
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<
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xml:space
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">Is cum ſua,
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tum aliorum inventa recenſens, primum omnium Merſennum
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lineam hanc in rerum natura advertiſſe ait. </
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<
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xml:space
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">Primum Roberval-
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lium tangentes ejus definiviſſe, ac plana & </
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<
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xml:space
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">ſolida dimenſum eſſe. </
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Item centra gravitatis tum plani, tum partium ejus inveniſſe. </
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<
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Primum Wrennium curvæ cycloidis æqualem rectam dediſ-
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ſe. </
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<
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">Me quoque primum reperiſſe dimenſionem abſolutam por-
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tionis cycloidis, quæ rectâ, baſi parallelâ, abſcinditur per
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punctum axis, quod quarta parte ejus à vertice abeſt. </
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<
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xml:space
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">quæ
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nimirum portio æquatur dimidio hexagono æquilatero, intra
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circulum genitorem deſcripto. </
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<
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echoid-s2182
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xml:space
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">Seipſum denique ſolidorum
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ac ſemiſolidorum, tam circa baſin quàm circa axem, centra
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gravitatis definiviſſe, itemque partium eorum. </
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<
s
xml:id
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echoid-s2183
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xml:space
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">Lineæ etiam
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ipſius (Sed hæc poſt acceptam à Wrennio dimenſionem)
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centrum gravitatis inveniſſe, & </
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<
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">dimenſionem ſuperficierum
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convexarum, quibus ſolida iſta eorumque partes comprehen-
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duntur; </
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<
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">earumque ſuperficierum centra gravitatis. </
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<
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xml:space
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">Ac denique
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dimenſionem curvarum cujuſvis cycloidis, tam protractæ quam
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contractæ: </
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<
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xml:space
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">hoc eſt earum quæ deſcribuntur à puncto intra
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vel extra circumferentiam circuli genitoris ſumpto. </
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<
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xml:space
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">Et ho-
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rum quidem demonſtrationes à Paſchalio ſunt editæ. </
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<
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xml:space
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">A qui-
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bus ſuas quoque, de eadem linea, ſubtiliſſimas meditationes
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expoſuit Cl. </
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<
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">Walliſius, atque eadem illa omnia ſuo Marte
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ſe reperiſſe, ac problemata à Paſchalio propoſita ſolviſſe con-
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tendit. </
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<
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">Quod idem & </
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">doctiſſimus Lovera ſibi vindicat. </
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<
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xml:space
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">Quan-
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tum vero unicuique debeatur, ex ſcriptis eorum eruditi dijudi-
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cent. </
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<
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xml:space
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">Nos propterea tantum præcedentia retulimus, quod ſi-
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lentio prætereunda non videbantur egregia adeo inventa, qui-
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bus factum eſt, ut, ex lineis omnibus, nulla nunc melius </
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