Gravesande, Willem Jacob 's
,
Physices elementa mathematica, experimentis confirmata sive introductio ad philosophiam Newtonianam; Tom. 1
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Table of figures
<
1 - 30
31 - 60
61 - 90
91 - 98
[out of range]
>
<
1 - 30
31 - 60
61 - 90
91 - 98
[out of range]
>
page
|<
<
(64)
of 824
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div2166
"
type
="
section
"
level
="
1
"
n
="
529
">
<
p
>
<
s
xml:id
="
echoid-s14453
"
xml:space
="
preserve
">
<
pb
o
="
64
"
file
="
0568
"
n
="
626
"
rhead
="
PHYSICES ELEMENTA
"/>
cie reflectio neceſſario irregularis eſt; </
s
>
<
s
xml:id
="
echoid-s14454
"
xml:space
="
preserve
">ſi autem ad exiguam
<
lb
/>
à ſuperficie diſtantiam reflexionem fieri concipiamus, minu-
<
lb
/>
untur, & </
s
>
<
s
xml:id
="
echoid-s14455
"
xml:space
="
preserve
">ferè in totum tolluntur irregularitates, ut atten-
<
lb
/>
dendo facilè liquet.</
s
>
<
s
xml:id
="
echoid-s14456
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div2174
"
type
="
section
"
level
="
1
"
n
="
530
">
<
head
xml:id
="
echoid-head700
"
xml:space
="
preserve
">CAPUT XIV.</
head
>
<
head
xml:id
="
echoid-head701
"
style
="
it
"
xml:space
="
preserve
">De Speculis planis.</
head
>
<
p
>
<
s
xml:id
="
echoid-s14457
"
xml:space
="
preserve
">SIt bc ſuperficies ſpeculi plani; </
s
>
<
s
xml:id
="
echoid-s14458
"
xml:space
="
preserve
">A punctum radians. </
s
>
<
s
xml:id
="
echoid-s14459
"
xml:space
="
preserve
">Con-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0568-01
"
xlink:href
="
note-0568-01a
"
xml:space
="
preserve
">799.</
note
>
tinuetur planum ſpeculi, & </
s
>
<
s
xml:id
="
echoid-s14460
"
xml:space
="
preserve
">ad hoc à radiante A dimitta-
<
lb
/>
tur perpendicularis AC; </
s
>
<
s
xml:id
="
echoid-s14461
"
xml:space
="
preserve
">ſi continuetur hæc, & </
s
>
<
s
xml:id
="
echoid-s14462
"
xml:space
="
preserve
">fiat C a
<
lb
/>
æqualis CA, a erit focus imaginarius reflexorum radiorum
<
lb
/>
ex A procedentium. </
s
>
<
s
xml:id
="
echoid-s14463
"
xml:space
="
preserve
">Sit A b radius incidens; </
s
>
<
s
xml:id
="
echoid-s14464
"
xml:space
="
preserve
">b f radius re-
<
lb
/>
flexus; </
s
>
<
s
xml:id
="
echoid-s14465
"
xml:space
="
preserve
">continuetur hoc ultra ſpeculum; </
s
>
<
s
xml:id
="
echoid-s14466
"
xml:space
="
preserve
">propter angulos in-
<
lb
/>
cidentiæ & </
s
>
<
s
xml:id
="
echoid-s14467
"
xml:space
="
preserve
">reflexionis æquales inter ſe , æquantur
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0568-02
"
xlink:href
="
note-0568-02a
"
xml:space
="
preserve
">384.</
note
>
horum complementa anguli A b C, f b d; </
s
>
<
s
xml:id
="
echoid-s14468
"
xml:space
="
preserve
">huic æqualis
<
lb
/>
eſt oppoſitus ad verticem ab C: </
s
>
<
s
xml:id
="
echoid-s14469
"
xml:space
="
preserve
">Triangula A b C, ab C
<
lb
/>
rectangula habent latus commune C b & </
s
>
<
s
xml:id
="
echoid-s14470
"
xml:space
="
preserve
">angulos æquales
<
lb
/>
C b a, C b A; </
s
>
<
s
xml:id
="
echoid-s14471
"
xml:space
="
preserve
">in omnibus ergo conveniunt, & </
s
>
<
s
xml:id
="
echoid-s14472
"
xml:space
="
preserve
">ſunt æ-
<
lb
/>
quales inter ſe CA & </
s
>
<
s
xml:id
="
echoid-s14473
"
xml:space
="
preserve
">C a: </
s
>
<
s
xml:id
="
echoid-s14474
"
xml:space
="
preserve
">quæ demonſtratio omnibus a-
<
lb
/>
liis radiis, ex A profluentibus, competit, in quocunque
<
lb
/>
plano perpendiculari ad planum ſpeculi concipiantur. </
s
>
<
s
xml:id
="
echoid-s14475
"
xml:space
="
preserve
">ld-
<
lb
/>
circo ubicunque oculus detur, ſi ad hunc radii reflexi per-
<
lb
/>
veniant, oculum intrabunt quaſi ex a procederent; </
s
>
<
s
xml:id
="
echoid-s14476
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s14477
"
xml:space
="
preserve
">in hoc
<
lb
/>
puncto apparebit punctum A ; </
s
>
<
s
xml:id
="
echoid-s14478
"
xml:space
="
preserve
">hujus autem puncti
<
note
position
="
left
"
xlink:label
="
note-0568-03
"
xlink:href
="
note-0568-03a
"
xml:space
="
preserve
">800.</
note
>
rentia eundem ſitum habet reſpectu ſpeculi, ad partem poſti-
<
lb
/>
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0568-04
"
xlink:href
="
note-0568-04a
"
xml:space
="
preserve
">737.</
note
>
cam, quâm habet ipſum punctum radians ad partem anticam.</
s
>
<
s
xml:id
="
echoid-s14479
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s14480
"
xml:space
="
preserve
">Quod ſi applicetur ad ſingula puncta objecti, patebit, ob-
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0568-05
"
xlink:href
="
note-0568-05a
"
xml:space
="
preserve
">801.</
note
>
jectum poſt ſpeculum apparêre, in eo ſitu, in quo reverâ da-
<
lb
/>
tur ante ſpeculum.</
s
>
<
s
xml:id
="
echoid-s14481
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div2177
"
type
="
section
"
level
="
1
"
n
="
531
">
<
head
xml:id
="
echoid-head702
"
xml:space
="
preserve
">CAPUT XV.</
head
>
<
head
xml:id
="
echoid-head703
"
style
="
it
"
xml:space
="
preserve
">De Speculis ſphæricis.</
head
>
<
p
>
<
s
xml:id
="
echoid-s14482
"
xml:space
="
preserve
">OMnis ſuperficies ſphærica conſiderari poteſt, quaſi for-
<
lb
/>
mata ex innumeris ſuperficiebus planis minimis; </
s
>
<
s
xml:id
="
echoid-s14483
"
xml:space
="
preserve
">pla-
<
lb
/>
numque, ſphæram in puncto quocunque tangens, eſt quaſi
<
lb
/>
continuatio talis plani exigui.</
s
>
<
s
xml:id
="
echoid-s14484
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>
