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
Table of Notes
<
1 - 7
[out of range]
>
[Note]
Page: 53
[Note]
Page: 54
[Note]
Page: 55
[Note]
Page: 55
[Note]
Page: 56
[Note]
Page: 57
[Note]
Page: 57
[Note]
Page: 57
[Note]
Page: 58
[Note]
Page: 58
[Note]
Page: 59
[Note]
Page: 60
[Note]
Page: 61
[Note]
Page: 61
[Note]
Page: 61
[Note]
Page: 61
[Note]
Page: 61
[Note]
Page: 62
[Note]
Page: 63
[Note]
Page: 63
[Note]
Page: 64
[Note]
Page: 64
[Note]
Page: 65
[Note]
Page: 65
[Note]
Page: 66
[Note]
Page: 67
[Note]
Page: 67
[Note]
Page: 67
[Note]
Page: 68
[Note]
Page: 68
<
1 - 7
[out of range]
>
page
|<
<
(52)
of 393
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div72
"
type
="
section
"
level
="
1
"
n
="
15
">
<
p
>
<
s
xml:id
="
echoid-s2889
"
xml:space
="
preserve
">
<
pb
o
="
52
"
file
="
0070
"
n
="
70
"
rhead
="
"/>
diſtinctius exhibet obtuenti. </
s
>
<
s
xml:id
="
echoid-s2890
"
xml:space
="
preserve
">quod erat propoſitum oſtendere. </
s
>
<
s
xml:id
="
echoid-s2891
"
xml:space
="
preserve
">Et
<
lb
/>
hæc quidem ad locum imaginis determinandum attinentia pleraque
<
lb
/>
propter oculum in axe ſitum ſuffecerit attigiſſe. </
s
>
<
s
xml:id
="
echoid-s2892
"
xml:space
="
preserve
">Supereſt ut idem
<
lb
/>
oculi gratiâ ſecùs conſtituti pertentemus. </
s
>
<
s
xml:id
="
echoid-s2893
"
xml:space
="
preserve
">id operis ſequenti depu-
<
lb
/>
tamus.</
s
>
<
s
xml:id
="
echoid-s2894
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div81
"
type
="
section
"
level
="
1
"
n
="
16
">
<
head
xml:id
="
echoid-head19
"
xml:space
="
preserve
">
<
emph
style
="
sc
">Lect.</
emph
>
VI I.</
head
>
<
p
>
<
s
xml:id
="
echoid-s2895
"
xml:space
="
preserve
">I. </
s
>
<
s
xml:id
="
echoid-s2896
"
xml:space
="
preserve
">ID nunc agimus, ut ab infinito quoad ſenſum intervallo radiantis
<
lb
/>
puncti, è reflectione circularem ad peripheriam peracta oriun-
<
lb
/>
dæ imaginis, oculi reſpectu præter axem ſiti, locum exquiramus.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2897
"
xml:space
="
preserve
">quocirca primùm ipſa recta linea determinanda venit, in qua locus
<
lb
/>
iſte verſatur; </
s
>
<
s
xml:id
="
echoid-s2898
"
xml:space
="
preserve
">tum ipſiſſimum præciſè punctum eſt deſignandum. </
s
>
<
s
xml:id
="
echoid-s2899
"
xml:space
="
preserve
">In
<
lb
/>
primi verò propoſiti gratiam hoc _Problema_ confici debet.</
s
>
<
s
xml:id
="
echoid-s2900
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2901
"
xml:space
="
preserve
">II. </
s
>
<
s
xml:id
="
echoid-s2902
"
xml:space
="
preserve
">Dato circulo reflectente BNP (cujus centrum C) rectâque
<
lb
/>
CB poſitione data; </
s
>
<
s
xml:id
="
echoid-s2903
"
xml:space
="
preserve
">deſignandus eſt huic parallelus radius, cujus re-
<
lb
/>
flexus per datum tranſeat punctum.</
s
>
<
s
xml:id
="
echoid-s2904
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2905
"
xml:space
="
preserve
">III. </
s
>
<
s
xml:id
="
echoid-s2906
"
xml:space
="
preserve
">Si datum punctum ( puta K) in ipſa CB exiſtat, facilimè pe-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0070-01
"
xlink:href
="
note-0070-01a
"
xml:space
="
preserve
">Fig. 70.</
note
>
ragitur negotium. </
s
>
<
s
xml:id
="
echoid-s2907
"
xml:space
="
preserve
">nam ſi centro K, intervallo KC deſcribatur circulus,
<
lb
/>
ipſi reflectenti occurrens in N; </
s
>
<
s
xml:id
="
echoid-s2908
"
xml:space
="
preserve
">erit KN reſlexus ducti ad CB paralle-
<
lb
/>
li; </
s
>
<
s
xml:id
="
echoid-s2909
"
xml:space
="
preserve
">prout ex antedictis abunde perſpicuum eſt.</
s
>
<
s
xml:id
="
echoid-s2910
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2911
"
xml:space
="
preserve
">IV. </
s
>
<
s
xml:id
="
echoid-s2912
"
xml:space
="
preserve
">Si datum punctum (puta jam X) in ipſa reflectentis circumfe-
<
lb
/>
rentia verſetur; </
s
>
<
s
xml:id
="
echoid-s2913
"
xml:space
="
preserve
">arcûs triſectione ſtatim exhauritur _Problema_. </
s
>
<
s
xml:id
="
echoid-s2914
"
xml:space
="
preserve
">Nam
<
lb
/>
ducatur XH ad BC parallela (quæ quidem ipſa uno modo proble-
<
lb
/>
mati ſatisfacit) & </
s
>
<
s
xml:id
="
echoid-s2915
"
xml:space
="
preserve
">interceptus arcus XH ſecetur punctis N, P, ut
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0070-02
"
xlink:href
="
note-0070-02a
"
xml:space
="
preserve
">Fig. 71.</
note
>
ſint arcus XN, NP, PH æquales inter ſe; </
s
>
<
s
xml:id
="
echoid-s2916
"
xml:space
="
preserve
">connectantúrque rectæ
<
lb
/>
XN, NP. </
s
>
<
s
xml:id
="
echoid-s2917
"
xml:space
="
preserve
">dico factum. </
s
>
<
s
xml:id
="
echoid-s2918
"
xml:space
="
preserve
">etenim ducantur CN, XP; </
s
>
<
s
xml:id
="
echoid-s2919
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2920
"
xml:space
="
preserve
">patet an-
<
lb
/>
gulum CN X ipſi CNP æquari; </
s
>
<
s
xml:id
="
echoid-s2921
"
xml:space
="
preserve
">adeóque fore XN reflexum ipſius
<
lb
/>
PN; </
s
>
<
s
xml:id
="
echoid-s2922
"
xml:space
="
preserve
">quinetiam ang. </
s
>
<
s
xml:id
="
echoid-s2923
"
xml:space
="
preserve
">NP X æquatur angulo HXP; </
s
>
<
s
xml:id
="
echoid-s2924
"
xml:space
="
preserve
">proindéque
<
lb
/>
NP ipſi XH, hoc eſt ipſi BC, parallela eſt. </
s
>
<
s
xml:id
="
echoid-s2925
"
xml:space
="
preserve
">itaque factum.</
s
>
<
s
xml:id
="
echoid-s2926
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>