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
Page concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 434
>
Scan
Original
101
102
103
104
65
105
66
106
67
107
68
108
109
110
111
69
112
70
113
71
114
72
115
116
117
118
73
119
74
120
75
121
76
122
123
124
125
77
126
78
127
79
128
80
129
81
130
82
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 434
>
page
|<
<
(129)
of 434
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div244
"
type
="
section
"
level
="
1
"
n
="
93
">
<
p
>
<
s
xml:id
="
echoid-s2934
"
xml:space
="
preserve
">
<
pb
o
="
129
"
file
="
0189
"
n
="
207
"
rhead
="
HOROLOG. OSCILLATOR.
"/>
que arcus percurri, ac proinde pendulum F G, pendulo
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0189-01
"
xlink:href
="
note-0189-01a
"
xml:space
="
preserve
">
<
emph
style
="
sc
">De centro</
emph
>
<
lb
/>
<
emph
style
="
sc
">OSCILLA-</
emph
>
<
lb
/>
<
emph
style
="
sc
">TIONIS.</
emph
>
</
note
>
compoſito ex A, B, C, iſochronum eſſe. </
s
>
<
s
xml:id
="
echoid-s2935
"
xml:space
="
preserve
">Oſtendetur au-
<
lb
/>
tem hoc modo.</
s
>
<
s
xml:id
="
echoid-s2936
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2937
"
xml:space
="
preserve
">Sit primo, ſi poteſt, major celeritas puncti L, ubi in P
<
lb
/>
pervenit, quam ponderis G in O. </
s
>
<
s
xml:id
="
echoid-s2938
"
xml:space
="
preserve
">Conſtatautem, dum pun-
<
lb
/>
ctum L percurrit arcum L P, ſimul centrum gravitatis E
<
lb
/>
percurrere arcum ſimilem E Q. </
s
>
<
s
xml:id
="
echoid-s2939
"
xml:space
="
preserve
">Ducantur à punctis Q, P, O,
<
lb
/>
perpendiculares ſurſum, quæ occurrant ſubtenſis arcuum
<
lb
/>
E I, L N, G M, in R, S, Y. </
s
>
<
s
xml:id
="
echoid-s2940
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s2941
"
xml:space
="
preserve
">S P vocetur y. </
s
>
<
s
xml:id
="
echoid-s2942
"
xml:space
="
preserve
">Unde,
<
lb
/>
cum ſit ut L D, x, ad E D, d, ita S P, y, ad R Q; </
s
>
<
s
xml:id
="
echoid-s2943
"
xml:space
="
preserve
">erit
<
lb
/>
R Q æqualis {d y/x}. </
s
>
<
s
xml:id
="
echoid-s2944
"
xml:space
="
preserve
">Jam quia pondus G eam celeritatem ha-
<
lb
/>
bet in O, qua valet ad eandem unde deſcendit altitudinem
<
lb
/>
aſcendere, nempe per arcum O M, vel perpendicularem
<
lb
/>
O Y ipſi P S æqualem; </
s
>
<
s
xml:id
="
echoid-s2945
"
xml:space
="
preserve
">punctum igitur L, ubi in P per-
<
lb
/>
venerit, majorem ibi celeritatem habebit, quam qua aſcen-
<
lb
/>
ditur ad altitudinem P S. </
s
>
<
s
xml:id
="
echoid-s2946
"
xml:space
="
preserve
">Dum vero L tranſit in P, ſimul
<
lb
/>
pondera A, B, C, ſimiles arcus percurrunt ipſi L P, nimirum
<
lb
/>
A T, B V, C X. </
s
>
<
s
xml:id
="
echoid-s2947
"
xml:space
="
preserve
">Eſtque puncti L celeritas in P, ad celeri-
<
lb
/>
tatem ponderis A in T, quum vinculo eodem contineantur,
<
lb
/>
ſicut diſtantia D L ad D A. </
s
>
<
s
xml:id
="
echoid-s2948
"
xml:space
="
preserve
">Sed ut quadratum celeritatis
<
lb
/>
puncti L, quam habet in P, ad quadratum celeritatis pun-
<
lb
/>
cti A in T, ita eſt altitudo ad quam illa celeritate
<
lb
/>
aſcendi poteſt, ad altitudinem quò hac celeritate aſcendi
<
lb
/>
poteſt . </
s
>
<
s
xml:id
="
echoid-s2949
"
xml:space
="
preserve
">Ergo etiam, ut quadratum diſtantiæ D L,
<
note
symbol
="
*
"
position
="
right
"
xlink:label
="
note-0189-02
"
xlink:href
="
note-0189-02a
"
xml:space
="
preserve
">Prop. 3.
<
lb
/>
& 4. part. @.</
note
>
eſt x x, ad quadratum diſtantiæ D A, quod eſt e e, ita eſt
<
lb
/>
altitudo quo aſcenditur celeritate puncti L, quum eſt in P,
<
lb
/>
(quæ altitudo major dicta eſt quam P S ſive y,) ad altitu-
<
lb
/>
dinem quo aſcenditur celeritate ponderis A in T; </
s
>
<
s
xml:id
="
echoid-s2950
"
xml:space
="
preserve
">ſi nempe
<
lb
/>
poſtquam in T pervenit, relicto pendulo, ſeorſim motum
<
lb
/>
ſuum ſurſum converteret. </
s
>
<
s
xml:id
="
echoid-s2951
"
xml:space
="
preserve
">Quæ proinde altitudo major erit
<
lb
/>
quam {e e y/x x}.</
s
>
<
s
xml:id
="
echoid-s2952
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2953
"
xml:space
="
preserve
">Eadem ratione, erit altitudo ad quam aſcenderet pondus
<
lb
/>
B, celeritate acquiſita per arcum B V, major quam {f f y/x x}. </
s
>
<
s
xml:id
="
echoid-s2954
"
xml:space
="
preserve
">Et
<
lb
/>
altitudo ad quam aſcenderet pondus C, celeritate acquiſita
<
lb
/>
per arcum C X, major quam {g g y/x x}. </
s
>
<
s
xml:id
="
echoid-s2955
"
xml:space
="
preserve
">Unde, ductis ſingulis </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>