Barrow, Isaac
,
Lectiones opticae & geometricae : in quibus phaenomenon opticorum genuinae rationes investigantur, ac exponuntur: et generalia curvarum linearum symptomata declarantur
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
page
|<
<
(37)
of 393
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div41
"
type
="
section
"
level
="
1
"
n
="
13
">
<
pb
o
="
37
"
file
="
0055
"
n
="
55
"
rhead
="
"/>
<
p
>
<
s
xml:id
="
echoid-s1974
"
xml:space
="
preserve
">XXI. </
s
>
<
s
xml:id
="
echoid-s1975
"
xml:space
="
preserve
">Accedit tamen ei penitiùs aſtruendo etiam experientia quâ
<
lb
/>
nempe compertum habetur; </
s
>
<
s
xml:id
="
echoid-s1976
"
xml:space
="
preserve
">quòd objectum (velut A) in aquâ ſitum,
<
lb
/>
oculo (O) perpendiculariter imminenti, ità diſtans videtur (puta ad
<
lb
/>
Z) ut ſit perpetuò AZ quadrans ipſius AB, id quod ratiociniis præ-
<
lb
/>
cedentibus exquiſitè congruit. </
s
>
<
s
xml:id
="
echoid-s1977
"
xml:space
="
preserve
">Etenim cum experientia docuerit in
<
lb
/>
refractionibus ex aqua factis in aerem, _Sinum anguli Incidentia ad_
<
lb
/>
_Sinum anguli Refracti_ ſe habere circiter, ut 3 ad 4 ; </
s
>
<
s
xml:id
="
echoid-s1978
"
xml:space
="
preserve
">erit juxta conſtru-
<
lb
/>
ctionem præmiſſam ipſius ZB ad AB ratio ſubſeſquitertia; </
s
>
<
s
xml:id
="
echoid-s1979
"
xml:space
="
preserve
">ſeu hæc
<
lb
/>
ad illam ut 3 ad 4. </
s
>
<
s
xml:id
="
echoid-s1980
"
xml:space
="
preserve
">Quare nihil erat caaſæ cur hoc fretus experimento
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0055-01
"
xlink:href
="
note-0055-01a
"
xml:space
="
preserve
">_Iſ. Voſſ._</
note
>
Præclariſſimus vir receptam de reſractione ſententiam impugnaret, & </
s
>
<
s
xml:id
="
echoid-s1981
"
xml:space
="
preserve
">
<
lb
/>
exploderet; </
s
>
<
s
xml:id
="
echoid-s1982
"
xml:space
="
preserve
">at potiùs ut ei promptiùs accederet, aut firmius adhæreret,
<
lb
/>
expoſiti Phænomeni cauſam adeò perſpicuam, adeo neceſſariam ſugge-
<
lb
/>
renti. </
s
>
<
s
xml:id
="
echoid-s1983
"
xml:space
="
preserve
">quinimo perpendicularem ipſam (quod adeò valde vult, acriterque
<
lb
/>
contendit) è ſuperiore doctrinâ quadantenus infringi, decurtaríque (ter-
<
lb
/>
minatione ſaltem refringi, tametſi non ſitu) patebit ad illam attendenti.</
s
>
<
s
xml:id
="
echoid-s1984
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1985
"
xml:space
="
preserve
">XXII Habetur itaque definitus imaginis ſitus, ob oculum in axe
<
lb
/>
collocatum. </
s
>
<
s
xml:id
="
echoid-s1986
"
xml:space
="
preserve
">Succedit ut idem præſtemus oculi gratiâ extra ipſum ubi-
<
lb
/>
cunque ſiti. </
s
>
<
s
xml:id
="
echoid-s1987
"
xml:space
="
preserve
">Sed priùs unum eſt quod opportunè moneamus, anteà
<
lb
/>
prætermiſſum; </
s
>
<
s
xml:id
="
echoid-s1988
"
xml:space
="
preserve
">eâdem ſcilicet operâ quoad radios convergentes ſimul
<
lb
/>
ac divergentes confici negotium. </
s
>
<
s
xml:id
="
echoid-s1989
"
xml:space
="
preserve
">Erunt enim ad punctum quodvis
<
lb
/>
(ceu A) tendentium radiorum refracti prorſus iidem eum illis, qui
<
lb
/>
divergentibus ab A convenient, modo cæteris manentibus invariatis
<
lb
/>
(refringente ſcilicet & </
s
>
<
s
xml:id
="
echoid-s1990
"
xml:space
="
preserve
">puncto A deſignatum ſitum retinentibus) me-
<
lb
/>
dia concipiantur tranſpoſita. </
s
>
<
s
xml:id
="
echoid-s1991
"
xml:space
="
preserve
">Nimirum, exempli cauſâ, ſi NK ſit
<
lb
/>
refractus radii BN verſus A tendentis è raro in denſum; </
s
>
<
s
xml:id
="
echoid-s1992
"
xml:space
="
preserve
">erit itidem
<
lb
/>
NH ipſi KN in directum poſitus radii AN B, è raro in denſum
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0055-02
"
xlink:href
="
note-0055-02a
"
xml:space
="
preserve
">Fig. 47.</
note
>
(quæ nempe prioribus homogenea ſint) procedentis refractus. </
s
>
<
s
xml:id
="
echoid-s1993
"
xml:space
="
preserve
">Itaq;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1994
"
xml:space
="
preserve
">quæ de radiis divergentibus oſtenſa ſunt, ea convergentibus, adhibito
<
lb
/>
juſto moderamine, pariter adaptari poſſunt; </
s
>
<
s
xml:id
="
echoid-s1995
"
xml:space
="
preserve
">in horum locum diver-
<
lb
/>
gentes reſpectivè congruos ſubrogando. </
s
>
<
s
xml:id
="
echoid-s1996
"
xml:space
="
preserve
">Quare nedum in hoc caſu,
<
lb
/>
ſed in omnibus qui ſequentur, de radiis ſolummodò divergentibus in-
<
lb
/>
ſtituemus ſermonem; </
s
>
<
s
xml:id
="
echoid-s1997
"
xml:space
="
preserve
">eò ſubintelligentes etiam convergentes ex hac
<
lb
/>
regula determinabiles referri. </
s
>
<
s
xml:id
="
echoid-s1998
"
xml:space
="
preserve
">Quæ ſanè compendio deſerviens obſer-
<
lb
/>
vatio generalibus iſtis ſupra delibatis meruit intertexi; </
s
>
<
s
xml:id
="
echoid-s1999
"
xml:space
="
preserve
">nec enim ad
<
lb
/>
hanc ſolam quæ præ manibus, aſt ad omnes æquè, quaſlibet ad ſuper-
<
lb
/>
ficies, radiorum inflectiones ſe extendit.</
s
>
<
s
xml:id
="
echoid-s2000
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2001
"
xml:space
="
preserve
">XXIII, Adſimilem & </
s
>
<
s
xml:id
="
echoid-s2002
"
xml:space
="
preserve
">indè conſequentem (cum paralleli à </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>