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 figures
<
1 - 30
31 - 40
[out of range]
>
<
1 - 30
31 - 40
[out of range]
>
page
|<
<
(126)
of 393
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div512
"
type
="
section
"
level
="
1
"
n
="
64
">
<
pb
o
="
126
"
file
="
0304
"
n
="
319
"
rhead
="
"/>
<
p
>
<
s
xml:id
="
echoid-s15030
"
xml:space
="
preserve
">_Aliter_. </
s
>
<
s
xml:id
="
echoid-s15031
"
xml:space
="
preserve
">Fiat PZ = √ 2 APM. </
s
>
<
s
xml:id
="
echoid-s15032
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s15033
"
xml:space
="
preserve
">ſit ZO curvæ AZK perpendi-
<
lb
/>
cularis; </
s
>
<
s
xml:id
="
echoid-s15034
"
xml:space
="
preserve
">erit PM = PO.</
s
>
<
s
xml:id
="
echoid-s15035
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s15036
"
xml:space
="
preserve
">_Exemp_. </
s
>
<
s
xml:id
="
echoid-s15037
"
xml:space
="
preserve
">Sit AP = x; </
s
>
<
s
xml:id
="
echoid-s15038
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s15039
"
xml:space
="
preserve
">APM = {x
<
emph
style
="
sub
">3</
emph
>
/r}. </
s
>
<
s
xml:id
="
echoid-s15040
"
xml:space
="
preserve
">quare PZ = √ {2 x
<
emph
style
="
sub
">3</
emph
>
/r}
<
lb
/>
unde reperietur PO = {3 x x/r} = PM; </
s
>
<
s
xml:id
="
echoid-s15041
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s15042
"
xml:space
="
preserve
">rurſus AMB
<
lb
/>
erit _Parabola_.</
s
>
<
s
xml:id
="
echoid-s15043
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div514
"
type
="
section
"
level
="
1
"
n
="
65
">
<
head
xml:id
="
echoid-head68
"
xml:space
="
preserve
">_Probl_. VIII.</
head
>
<
p
>
<
s
xml:id
="
echoid-s15044
"
xml:space
="
preserve
">Sit figura quævis ADB (rectis DA, DB, & </
s
>
<
s
xml:id
="
echoid-s15045
"
xml:space
="
preserve
">linea AMB com-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0304-01
"
xlink:href
="
note-0304-01a
"
xml:space
="
preserve
">Fig. 190.</
note
>
prehenſa) & </
s
>
<
s
xml:id
="
echoid-s15046
"
xml:space
="
preserve
">à Dutcunque projectâ rectâ DM, datum ſit ſpatium
<
lb
/>
ADM; </
s
>
<
s
xml:id
="
echoid-s15047
"
xml:space
="
preserve
">oportet rectam DM definire.</
s
>
<
s
xml:id
="
echoid-s15048
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s15049
"
xml:space
="
preserve
">Acceptâ quâpiam R, ſit DZ = {2 ADM/R}; </
s
>
<
s
xml:id
="
echoid-s15050
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s15051
"
xml:space
="
preserve
">ZO curvæ AZK
<
lb
/>
perpendicularis; </
s
>
<
s
xml:id
="
echoid-s15052
"
xml:space
="
preserve
">cui occurrat DH ad DM perpendicularis;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s15053
"
xml:space
="
preserve
">erit DM = √ R x DO.</
s
>
<
s
xml:id
="
echoid-s15054
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s15055
"
xml:space
="
preserve
">_Aliter_. </
s
>
<
s
xml:id
="
echoid-s15056
"
xml:space
="
preserve
">Sit DZ = √ 4 ADM; </
s
>
<
s
xml:id
="
echoid-s15057
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s15058
"
xml:space
="
preserve
">ZO curvæ AZK perpen-
<
lb
/>
dicularis; </
s
>
<
s
xml:id
="
echoid-s15059
"
xml:space
="
preserve
">cui occurrat DH ad DZ perpendicularis; </
s
>
<
s
xml:id
="
echoid-s15060
"
xml:space
="
preserve
">erit DM
<
lb
/>
= √ DZ x DO.</
s
>
<
s
xml:id
="
echoid-s15061
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s15062
"
xml:space
="
preserve
">_De figuris involutis & </
s
>
<
s
xml:id
="
echoid-s15063
"
xml:space
="
preserve
">evolutis_ bellam σκέψιγ inſtituit _Præclarus Ge-_
<
lb
/>
_ometra D. </
s
>
<
s
xml:id
="
echoid-s15064
"
xml:space
="
preserve
">Gregorius Aberd._ </
s
>
<
s
xml:id
="
echoid-s15065
"
xml:space
="
preserve
">Alienæ meſſi nollem ego falcem meam
<
lb
/>
immittere, verùm liceat utcunque iſthuc pertinentes (aliud agenti quæ
<
lb
/>
mihi ſe ingeſſerunt) unam aut alteram obſervatiunculam his intexere.</
s
>
<
s
xml:id
="
echoid-s15066
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div516
"
type
="
section
"
level
="
1
"
n
="
66
">
<
head
xml:id
="
echoid-head69
"
xml:space
="
preserve
">_Probl_. IX.</
head
>
<
p
>
<
s
xml:id
="
echoid-s15067
"
xml:space
="
preserve
">Data fit figura quæpiam ADB (cujus _axis_ AD, _baſis_ DB) oper-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0304-02
"
xlink:href
="
note-0304-02a
"
xml:space
="
preserve
">Fig. 191.</
note
>
tet ei congruentem involutam exhibere.</
s
>
<
s
xml:id
="
echoid-s15068
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s15069
"
xml:space
="
preserve
">_Centro_ C, intervallo quopiam CL deſcribatur _Circulus_ LXX; </
s
>
<
s
xml:id
="
echoid-s15070
"
xml:space
="
preserve
">ſit
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0304-03
"
xlink:href
="
note-0304-03a
"
xml:space
="
preserve
">Fig. 192.</
note
>
autem curva KZZ talis, ut pro lubitu ductâ rectâ MPZ ad BD </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>