Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CHRISTIANI HUGENII
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metrum vero baſeos, dimidiæ perpendiculi longitudi-
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<
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<
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<
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.</
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ni, æqualem habens; </
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xml:space
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">ſitque F G H E faſciola, ſeu
<
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potius bractea tenuis, affixa regulæ in F, cylindro verò in
<
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/>
circumferentiæ puncto aliquo E, ita ut partim huic circum-
<
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voluta ſit, partim extendatur juxta latus regulæ A B. </
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<
s
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xml:space
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">Cy-
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lindro autem infixa ſit ferrea cuſpis D I, pauxillum ultra
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baſin inferiorem prominens, atque ita ut circumferentiæ ejus
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exacte reſpondeat.</
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<
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</
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<
s
xml:id
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echoid-s920
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xml:space
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">His ita ſe habentibus, ſi cylindrus ſecundum regulam A B
<
lb
/>
volvatur, bracteolæ tantum F G craſſitudine intercedente,
<
lb
/>
eâque ſemper quantum poteſt extensâ, deſcribet cuſpis I in
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ſubjecto tabulæ plano lineam curvam K I, quæ Cyclois vo-
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catur. </
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<
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xml:space
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">Circulus vero genitor erit C D E, cylindri adhibiti
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baſis. </
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<
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xml:space
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">Quod ſi jam laminam K L ad regulam A B appli-
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cuerimus; </
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<
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xml:space
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">exaratâ primum in ea cycloidis portione K I, in-
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vertemus deinde ipſam, & </
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<
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xml:space
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">in ſuperficie adverſa ſimilem li-
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neam K M, ab eodem puncto K egredientem, incidemus.
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</
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<
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xml:space
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">Tum figuram M K I, accurate ſecundum lineas iſtas, ef-
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formabimus, cui figuræ lamellarum interſtitium aptari opor-
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tet, inter quas perpendiculum ſuſpenditur. </
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>
<
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xml:space
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">Sufficiunt au-
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tem ad horologiorum uſum portiones exiguæ arcuum K M,
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K I; </
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<
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xml:space
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">reliquo flexu inutili futuro, ad quem perpendiculi fi-
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lum accedere non poteſt.</
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<
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xml:space
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">Verum, ut mirabilis lineæ natura atque effectus plenius
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xml:space
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">TAB. III.
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Fig. 2.</
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intelligantur, integras ſemicycloides K M, K I, alio ſche-
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mate hic exprimere viſum fuit, inter quas ſuſpenſum agita-
<
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/>
tumque Pendulum K N P, diametri circuli genitoris du-
<
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/>
plum, cujuscunque amplitudinis oſcillationes, usque ad
<
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/>
maximam omnium per arcum M P I, iisdem temporibus
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confecturum ſit: </
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>
<
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xml:space
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">atque ita, ut appenſæ ſphæræ P centrum,
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in linea M P I, quæ & </
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<
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">ipſa cyclois integra eſt, ſemper
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verſetur. </
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<
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xml:space
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">Quæ proprietas inſignis, neſcio an alii præter hanc
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lineæ data ſit, ut nempe ſe ipſam ſui evolutione deſcribat.
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</
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<
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xml:space
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">Hæc autem quæ dicta ſunt, in ſequentibus, ubi de deſcen-
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ſu gravium, deque evolutione curvarum agemus, ſingula
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demonſtrabuntur.</
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