Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
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<
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. II.</
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<
s
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xml:space
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">VArios, quibus productæ concipiantur magnitudines aggreſſi mo-
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dos conſiderare, primum & </
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<
s
xml:id
="
echoid-s8581
"
xml:space
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">præcipuum attingere cæpimus illum,
<
lb
/>
qui motu peragitur locali. </
s
>
<
s
xml:id
="
echoid-s8582
"
xml:space
="
preserve
">Cùm verò ſoleant _Matbematici_ diverſi-
<
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/>
modos, è quibus aliæ ac aliæ magnitudines reſultant, motus adſumere
<
lb
/>
ceu poſſibiles, duos ad fontes digitum intendimus, è quibus iſtæ mo-
<
lb
/>
tuum differentiæ ſcaturiunt, modum lationis ipſum, & </
s
>
<
s
xml:id
="
echoid-s8583
"
xml:space
="
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">quantita-
<
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tem vis motivæ; </
s
>
<
s
xml:id
="
echoid-s8584
"
xml:space
="
preserve
">quorum poſteriopem haud ita clarum & </
s
>
<
s
xml:id
="
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xml:space
="
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">apertum
<
lb
/>
nuperrimè conati ſumus recludere, limpidúmque reddere. </
s
>
<
s
xml:id
="
echoid-s8586
"
xml:space
="
preserve
">Jam diffe-
<
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/>
rentias quas aſſumunt ipſas proſequemur, & </
s
>
<
s
xml:id
="
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"
xml:space
="
preserve
">quo pacto generationi mag-
<
lb
/>
nitudinum inſervire poſſunt oſtendemus. </
s
>
<
s
xml:id
="
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xml:space
="
preserve
">Lationis modum ſpectando
<
lb
/>
generantur magnitudines vel per motus ſimplices, vel per motus com-
<
lb
/>
poſitos, vel ex concurſu motuum (nam compoſitionem à concurſu
<
lb
/>
diſtinguo, quæ tamen à nonnullis confunduntur.) </
s
>
<
s
xml:id
="
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xml:space
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">De ſimplicium
<
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motuum hypotheſibus, ac effectis primò videamus. </
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>
<
s
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xml:space
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">Simplicium mo-
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tuum duo genera ſunt, ρο@, & </
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>
<
s
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xml:space
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">{πο}
<
unsure
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{ρι}φο@, progreſſio, & </
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<
s
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="
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xml:space
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">circum-
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latio. </
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<
s
xml:id
="
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xml:space
="
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">Sub progreſſivo motu comprehenditur motus omnis, qui nul-
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lum fixum locum (loci nomine quamvis magnitudinem, etiam pun-
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ctum adnumerans, intelligo,) reſpicit, cui velut innectitur, ac affigi-
<
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/>
tur; </
s
>
<
s
xml:id
="
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xml:space
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">ſeu directus iſte motus ſit, ſeu reflexus, ſeu refractus; </
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>
<
s
xml:id
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xml:space
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">ſive
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callem certum perſequatur, ſive inconſtanter deſultet, divagetur,
<
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exorbitet. </
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>
<
s
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="
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xml:space
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">Quia vero penitus irregularium in arte nulla ratio poteſt
<
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haberi, ſufficit _Matbematicis_ ſupponere magnitudinem quamcunque
<
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progredi poſſe juxta deſignatam quamlibet orbitam; </
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>
<
s
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xml:space
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">ut _v.</
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<
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xml:space
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">g._ </
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<
s
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xml:space
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">Quod
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punctum _in linea recta, circulari, elliptica, ſpirali, vel alia quavis_
<
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/>
_præſtituta queat incedere._ </
s
>
<
s
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xml:space
="
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">Verùm præcipuæ, hoc eſt maximi, fre-
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quentiſſimíque pro magnitudinibus efformandis usûs, circa hujuſmodi
<
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/>
motus quas _Mathematici_ præſtruunt hypotheſes, ſunt hæ: </
s
>
<
s
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xml:space
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">Quôd
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punctum à præfixo termino in linea recta quouſque libuerit adſignare
<
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directè progredi queat, quali motu perſpicuum eſt lineam </
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