Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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modi ſuppoſita linearum generatione poterimus indipiſci. </
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citatis autem & </
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<
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">perſpicuitatis cauſâ ſupponamus alterum ex his
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motibus, rectæ nimirum paralleliſmum ſervantis, eſſe ſemper uni-
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formem, & </
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<
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">quænam ex alterius quoad velocitatem generalibus
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differentiis generales emergant linearum productarum affectiones ad-
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nitamur elicere. </
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<
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<
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. IV.</
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">Propoſitum eſt nobis è compoſitione motuum (qualem proximè
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deſcripſimus) emergentes linearum affectiones indagare ac ex-
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ponere. </
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<
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">Quorſum imprimìs methodi cauſà repeto ſi recta AZ per
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rectam AY ſibi perpetuò parallela feratur uniformiter, et in ea
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quoque punctum M uniformiter deportetur, quâvis velocitate, li-
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nea recta proveniet. </
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<
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">Sumantur enim duæ quævis lineæ mobilis
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AZ poſitiones, ad B ſcilicet & </
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<
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xml:space
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">quia motus per AY po-
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nitur uniformis, erunt decurſa ſpatia AB, AC ad ſe, ut _Tempo-_
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_ra_; </
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<
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">ſed et ob motum uniformem puncti M etiam rectæ BM,
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CM ſe habebunt ut eadem tempora; </
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<
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BM. </
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xml:space
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">Unde liquet puncta A, M, M in una recta linea ex-
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iſtere. </
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<
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">Parique ratione conſtat idem de punctis omnibuſcunque,
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quibus punctum M per totum ſuum curſum inſiſtit, aut coincidit,
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Supponatur ſecundò punctum M motu continuo increſcente deſerri
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(juxta quamlibet velocitatis rationem, regulari modo quocunque
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nil intereſt, an irregulari) aio _ſuppoſitionem banc conſectari progeni-_
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_tarum linearum quas apponemus proprietates generales_ (quales uni
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tali linearum generi convenientes certè præſtat ex unimoda com-
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muni generatione ſimul univerſas elicere, quàm de ſingulis, ut
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<
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paſſim fieri ſolet, ſingulas ſeparatim oſtendere.) </
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reà, quòd brevitatis cauſâ motum parallelum uniformem rectæ AZ
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per AY appellabo ſubinde _motum tranſverſum_; </
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<
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ventis ab A in linea AZ motum vocitabo _deſcenſum_, aut _motum_
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_deſcendentem_, habito ſcilicet ad figuram exhibitam reſpectu. </
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quòd, ob motûs per AY et ei parallelas uniformitatem, poſſit
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ea cum ipſius partibus motûs tempus, et ejus partes repræſentare.
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