Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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VARIA CIRCA MECHANICAM.
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ſint ut quadrata celeritatum, ideo requiritur ut quadrata ce-
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leritatum ſint ut vires, id eſt ut G B ad B K; </
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<
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ter ut velocitates ſint ut G B ad B S; </
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<
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xml:space
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quadrata G B & </
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<
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xml:space
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">B S ſunt ut lineæ G B, B K per conſtructio-
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nem. </
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<
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xml:space
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">Probavi ergo ex ordinariis Mechanices principiis, id,
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quod in obſervatione mea propoſueram.</
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<
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Renaldi examinare,
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quibus vult hanc eandem, quam refutavi propoſitionem, con-
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firmare; </
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<
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xml:space
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">ſolummodo indicabo originem erroris, qui in iis oc-
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currit, præſertim naſci ex eo, quod in Articulo 7. </
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<
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<
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xml:space
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">Theoriæ ſuæ concludat, vires relativas materiæ fluidæ ad
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ſuperficies diverſimode inclinatas eſſe inter ſe, ut quadrata ſi-
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nuum angulorum incidentiæ; </
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<
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">debuiſſet addere ad ſuperficies æ-
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quales diverſimode inclinatas; </
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<
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xml:space
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">cujus vocis æquales paulo ante in
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eodem Articulo pag. </
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<
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pleatur, tum demonſtratio optime congruit cum concluſione
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cumque veris principiis P: </
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tus de Viribus moventibus. </
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Articulo deceptus fuit, quod ignorarit vel ſaltem non recor-
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datus fuerit, reſiſtentias aquæ in corpus eſſe ut quadrata ve-
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locitatum ejus corporis; </
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<
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duplicatâ ratione b o ad m p cum ſimpliciter facere debuerit
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a f ad a u, ut b o ad m p.</
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<
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">Quod attinet ad utiliſſimum Gubernaculi ſitum, D
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Re-
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naldus ſe ipſum nullo jure culpat, & </
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<
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xml:space
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minaverat corrigere conatur, male ratiocinatur; </
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ne p. </
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<
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">303, nam tantum determinandum eſt, in quonam Gu-
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bernaculi ſitu aqua id propulſura ſit maximâ vi, juxta per-
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pendicularem ad carinam; </
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<
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">unde neceſſario ſequetur maxima
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puppis velocitas juxta illam perpendicularem. </
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<
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quum vult, p. </
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<
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velocitas loco vis.</
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<
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">Quod ſupereſt, obſervo, totam hanc Theoriam, ut edi-
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derat, veram fore ſi reſiſtentiæ aquæ eſſent ut velocitates
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navis, ſunt autem ut quadrata illarum velocitatum.</
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