Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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CONTROVERSIA.
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<
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xml:space
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xml:space
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">B duo corpora ex Axe D ſuſpenſa ita, ut unius
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xml:space
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">TAB. XXVIII.
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Fig. 4.</
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diſtantia ab Axe quadruplo major ſit alterius diſtantiâ.</
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<
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<
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xml:space
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">Adeoque ſi altitudo perpendicularis B I, ex qua deſcendit
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corpus B deſcribendo arcum B G, ponatur quatuor pedum,
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altera A H, unde corpus A delabitur, unius pedis erit.
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</
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<
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">Celeritates igitur, quas ſeparatim cadendo acquirunt, quo-
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niam ſunt ut radices altitudinum, ſe habent ut 2 ad 1. </
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<
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3, quæ totalem Penduli celeritatem manifeſtat, quando pro-
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portionaliter ad altitudines, ſive ad arcus B G & </
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<
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xml:space
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ditur, dat gradus celeritatis, quos obtinent pondera, quan-
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do conjunctim in tabulam D G decidunt, videlicet {12/5} & </
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xml:space
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quorum quadrata ſunt {144/25} & </
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<
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xml:space
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">{9/25}, unde quæ prodit ſumma,
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ſane a ſumma altitudinum, e quibus pondera dimittuntur,
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differt. </
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altitudinum O M & </
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">N L, ad quas pondera, dum a tabula
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reſiliunt, adſcendunt, non ipſas altitudines exprimunt; </
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inter ratio quidem eſſe poteſt, quæ eſt inter {144/25} & </
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<
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inter 16 & </
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<
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">1, dum ipſa ſumma eſt quinque, quæ eſt ſum-
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ma altitudinum B I & </
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<
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ram N L {5/17}, O M ſe habebit ad N L, ut 16 ad 1; </
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† N L erit æqualis B I † A H. </
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xml:space
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commune ponderum A & </
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<
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xml:space
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">B, ubi in L, M pervenere, erit
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ad eandem altitudinem, quam obtinebat ante Oſcillationis ini-
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tium. </
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xml:space
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M tantum ſupra lineam Horizontalem B D elevatur, quan-
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tum L infra eam deprimitur, videlicet {12/17} unius pedis; </
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quitur hinc in triangulis ſimilibus M P Q & </
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M Q & </
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duo pondera conjungit, eſſe in interſectione lineæ Horizon-
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talis.</
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