Huygens, Christiaan
,
Christiani Hugenii opera varia; Bd. 1: Opera mechanica
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
Table of contents
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 199
[out of range]
>
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 199
[out of range]
>
page
|<
<
(224)
of 434
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div427
"
type
="
section
"
level
="
1
"
n
="
172
">
<
p
>
<
s
xml:id
="
echoid-s4934
"
xml:space
="
preserve
">
<
pb
o
="
224
"
file
="
0302
"
n
="
329
"
rhead
="
DE CENTRO OSCILL.
"/>
bare nequit; </
s
>
<
s
xml:id
="
echoid-s4935
"
xml:space
="
preserve
">neque igitur, duas inventas altitudines centri
<
lb
/>
gravitatis inæquales eſſe, id quod in concluſione contendit,
<
lb
/>
nam licet altitudines L N, M O, diverſam habeant rationem
<
lb
/>
inter ſe quam altitudines A H, B I, non ſequitur ſummas
<
lb
/>
primarum & </
s
>
<
s
xml:id
="
echoid-s4936
"
xml:space
="
preserve
">ſecundarum differre.</
s
>
<
s
xml:id
="
echoid-s4937
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4938
"
xml:space
="
preserve
">Poſſem præter hunc alium locum obſervare, ubi fallitur
<
lb
/>
Abbas Catelanus, ſed non hærebo, quoniam id, quod pro-
<
lb
/>
fert non ſpectat ea quibus me aggreditur. </
s
>
<
s
xml:id
="
echoid-s4939
"
xml:space
="
preserve
">Unicum verbum
<
lb
/>
addam de examine ejus Mathematico, ut vocat, de centro
<
lb
/>
Oſcillationis edito in diario 15. </
s
>
<
s
xml:id
="
echoid-s4940
"
xml:space
="
preserve
">Dec. </
s
>
<
s
xml:id
="
echoid-s4941
"
xml:space
="
preserve
">1681. </
s
>
<
s
xml:id
="
echoid-s4942
"
xml:space
="
preserve
">ubi contendit ſe
<
lb
/>
inveniſſe regulam hanc generalem, ſcilicet, per nume-
<
lb
/>
rum partium Penduli dividi debere ſummam radicum diſtan-
<
lb
/>
tiarum partium ab axe; </
s
>
<
s
xml:id
="
echoid-s4943
"
xml:space
="
preserve
">ut habeamus lineam rectam, quæ ſit
<
lb
/>
menſura temporis quo vibrationem peragit illud Pendulum,
<
lb
/>
cujus conſequenter quadratum vel 3
<
emph
style
="
super
">a</
emph
>
. </
s
>
<
s
xml:id
="
echoid-s4944
"
xml:space
="
preserve
">proportionalis erit di-
<
lb
/>
ſtantia inter axem & </
s
>
<
s
xml:id
="
echoid-s4945
"
xml:space
="
preserve
">centrum Oſcillationis.</
s
>
<
s
xml:id
="
echoid-s4946
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
left
"
xml:space
="
preserve
">TAB. XXVIII.
<
lb
/>
Fig. 3.</
note
>
<
p
>
<
s
xml:id
="
echoid-s4947
"
xml:space
="
preserve
">Relicto omni peculiari examine, ſatis erit ad vitium re-
<
lb
/>
gulæ detegendum, notaſſe, juxta hoc principium, duas li-
<
lb
/>
neas graves ut A B, B C, junctas & </
s
>
<
s
xml:id
="
echoid-s4948
"
xml:space
="
preserve
">inter ſe angulum quem-
<
lb
/>
cunque efficientes, ſuſpenſas in B ſemper idem Oſcillatio-
<
lb
/>
nis centrum habere; </
s
>
<
s
xml:id
="
echoid-s4949
"
xml:space
="
preserve
">ideoque vibrationes ſemper fore æque ve-
<
lb
/>
loces, uti facile intelligunt hi, qui in hiſce materiis parum ſunt
<
lb
/>
verſati; </
s
>
<
s
xml:id
="
echoid-s4950
"
xml:space
="
preserve
">ſed & </
s
>
<
s
xml:id
="
echoid-s4951
"
xml:space
="
preserve
">illi videbunt, quod æqualitas illa vibratio-
<
lb
/>
num locum habere nequeat, quoniam augendo angulo tan-
<
lb
/>
dem duæ lineæ ſimul junctæ unicam efficiunt rectam a B c,
<
lb
/>
cujus vibrationes forent æque diuturnæ cum vibrationibus
<
lb
/>
anguli A B C, linea vero recta in puncto medio ſuſpenſa,
<
lb
/>
nullas peragit vibrationes, aut ſaltem velocitate infinite exi-
<
lb
/>
gua movetur.</
s
>
<
s
xml:id
="
echoid-s4952
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4953
"
xml:space
="
preserve
">Porro credo Abbati Catelano ſatis difficile fore, ſuâ regulâ,
<
lb
/>
centrum Oſcillationis in quibusvis particularibus figuris, etiam
<
lb
/>
ſimpliciſſimis, determinate, ſed, ſi id forte perficiat, inveniet,
<
lb
/>
ſuam Theoriam cum experientiâ nunquam convenire, & </
s
>
<
s
xml:id
="
echoid-s4954
"
xml:space
="
preserve
">
<
lb
/>
meam ſemper ſummâ exactitudine eidem reſpondere, ſi mo-
<
lb
/>
do experimenta exactiſſimè inſtituta fuerint.</
s
>
<
s
xml:id
="
echoid-s4955
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4956
"
xml:space
="
preserve
">Non poſſum hac occaſione ſilentio præterire, P. </
s
>
<
s
xml:id
="
echoid-s4957
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>