Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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ſtrentur. </
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">Porrò, non abſimiliter ſi velocitatis gradus continuâ per
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ſingula temporis inſtantia ſucceſſione, à quiete ad definitum gradum,
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vel retrogradè, creſcere concipiantur, aut decreſcere juxta progreſſi-
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onem numerorum quadraticorum repræſentatur tum optimè velocitas
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aggregata, ſicut & </
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">ſpatium hujuſmodi motu confectum, à comple-
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mento Semiparabolæ, qualis eſt AEX, cujus vertex A quietem (ſeu
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motûs ac temporis initium) tangens AE tempus definitum, linea BX
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primum velocitatis accreſcentis gradum (qui ſe habet ut I.) </
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<
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xml:space
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">proxima
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CX ſecundum gradum (habentem ſe ut 4.) </
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<
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">ſubſequens DX (qui ſe
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habet ut 9.) </
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xml:space
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">& </
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<
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xml:space
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">ità porrò uſque ad ultimum EX: </
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xml:space
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">Id quod ex notiſſi-
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ma parabolæ proprietate manifeſtum eſt. </
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<
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xml:space
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">Eodem planè modo quivis
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ſuppoſiti velocitatis gradus, utcunque creſcentis aut decreſcentis,
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continuo vel interruptè, quovis, inquam, imaginabili modo per
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lineas rectas ad temporis repræſentatricem rectam applicatas certiſſi-
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mo, commodiſſimòque modo deſignari poſſunt, aſſervatâ quam quis
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adſignare voluerit proportione; </
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<
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xml:space
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">ſic ut inde cognitâ ſpatii repræſen-
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tantis dimenſione, ſpatii per motum confecti quantitas faciliùs inno-
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teſcat; </
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<
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xml:space
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">reciprocè, cognitâ ſpatii dicti naturâ velocitatis ac tem-
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poris quantitatibus dignoſcendis aliqua lux aſſulgeat: </
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poſthac dicendorum intellectui neceſſaria, totíque motuum theoriæ
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non parùm ut videtur utilia viſum eſt paullo fuſiùs expoſita præmittere.
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<
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