Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
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HOROLOG. OSCILLATOR.
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quæ velut luxatione illarum efficiuntur, ut trianguli ſcaleni,
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& </
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">parabolæ non rectæ, centra oſcillationis haberi. </
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<
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xml:space
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">Ut ſi,
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">TAB.XXVII.
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Fig. 1.</
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exempli gratia, triangulum B A C iſoſceles, cujus axis
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A D, à puncto E ſuſpenſum intelligatur; </
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triangulum ſcalenum F A G, axem eundem habens A D, & </
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baſin F G æqualem baſi B C; </
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">etiam hoc triangulum, ex E
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ſuſpenſum, priori B A C iſochronum eſſe dico.</
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<
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">Quia enim virga, ſeu linea gravis, F G, affixa virgæ ſi-
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ne pondere E D in D, ſitu obliquo, ſuſpenſaque ex E,
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iſochrona eſt virgæ B C, ſimiliter in D affixæ ; </
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huj.</
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evenit in virgis cæteris trianguli útriusque, quæ axem A D
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ſecant in iisdem punctis, atque inter ſe æquales ſunt: </
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ceſſe eſt tota triangula, quæ ex lineis, ſeu virgis iisdem
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compoſita intelligi poſſunt, iſochrona eſſe. </
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<
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milis eſt demonſtratio.</
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">QUomodo, in ſolidis figuris, oſcillationis centra
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inveniantur.</
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<
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">In ſolidis porro figuris facile quoque, per ante demon-
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Fig. 5.</
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ſtrata, centrum oſcillationis invenire licebit. </
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lidum A B C, ſuſpenſum ab axe, qui, per punctum E,
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intelligitur hujus paginæ plano ad rectos angulos; </
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autem gravitatis ſit F: </
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quorum poſterius ſit horizonti parallelum, alterum vero per
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axem E transeat; </
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<
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">inventisque, per propoſitionem 14, ſum-
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mis quadratorum à diſtantiis particularum ſolidi A B C à
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plano G F H, itemque à plano E F D; </
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<
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tis rectangulis utrisque, quæ, multiplicia ſecundum numc-
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rum dictarum particularum, æqualia ſint dictis quadratcrum
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ſummis; </
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<
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">rectangula hæc applicata ad diſtantiam E F, qua
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nempe axis ſuſpenſionis diſtat à centro gravitatis, dabunt
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intervallum F K, quo centrum agitationis K inferius eſt
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centro gravitatis F. </
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bimus autem & </
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