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
61
34
62
35
63
36
64
37
65
38
66
39
67
40
68
41
69
42
70
43
71
44
72
45
73
46
74
75
76
77
47
78
48
79
80
81
82
49
83
50
84
51
85
52
86
87
88
89
53
90
54
<
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
|<
<
(57)
of 434
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div57
"
type
="
section
"
level
="
1
"
n
="
26
">
<
p
>
<
s
xml:id
="
echoid-s1216
"
xml:space
="
preserve
">
<
pb
o
="
57
"
file
="
0089
"
n
="
93
"
rhead
="
HOROLOG. OSCILLATOR.
"/>
quadratum A B ad quadratum C D. </
s
>
<
s
xml:id
="
echoid-s1217
"
xml:space
="
preserve
">quare neceſſe eſt ut
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-0089-01
"
xlink:href
="
note-0089-01a
"
xml:space
="
preserve
">
<
emph
style
="
sc
">De de-</
emph
>
<
lb
/>
<
emph
style
="
sc
">SCENSU</
emph
>
<
lb
/>
<
emph
style
="
sc
">@RAVIUM</
emph
>
.</
note
>
eandem habeat. </
s
>
<
s
xml:id
="
echoid-s1218
"
xml:space
="
preserve
">Porro cum celeritates in fine temporum A B,
<
lb
/>
C D acquiſitæ ſint inter ſe ſicut ipſamet tempora; </
s
>
<
s
xml:id
="
echoid-s1219
"
xml:space
="
preserve
">apparet
<
lb
/>
rationem ſpatiorum E ad F eandem quoque eſſe quæ qua-
<
lb
/>
dratorum temporum A B, C D, quibus transmiſſa ſunt.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1220
"
xml:space
="
preserve
">Itaque conſtat propoſitum.</
s
>
<
s
xml:id
="
echoid-s1221
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div62
"
type
="
section
"
level
="
1
"
n
="
27
">
<
head
xml:id
="
echoid-head49
"
xml:space
="
preserve
">PROPOSITIO IV.</
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1222
"
xml:space
="
preserve
">SI grave celeritate ea quam in fine deſcenſus ac-
<
lb
/>
quiſivit ſurſum tendere cœperit, fiet ut paribus
<
lb
/>
temporis partibus, ſpatia quæ prius ſurſum, ea-
<
lb
/>
dem deorſum transeat, adeoque ad eandem unde
<
lb
/>
deſcenderat altitudinem aſcendat. </
s
>
<
s
xml:id
="
echoid-s1223
"
xml:space
="
preserve
">Item ut æquali-
<
lb
/>
bus temporis partibus æqualia amittat celeritatis
<
lb
/>
momenta.</
s
>
<
s
xml:id
="
echoid-s1224
"
xml:space
="
preserve
"/>
</
p
>
<
note
position
="
right
"
xml:space
="
preserve
">TAB. V.
<
lb
/>
Fig. 1.</
note
>
<
p
>
<
s
xml:id
="
echoid-s1225
"
xml:space
="
preserve
">Sunto enim ut in propoſitione 2, ſpatia quotlibet, æqua-
<
lb
/>
libus temporis partibus cadendo è quiete peracta, quorum
<
lb
/>
primum A B; </
s
>
<
s
xml:id
="
echoid-s1226
"
xml:space
="
preserve
">ſecundum compoſitum ex B D, quod celeri-
<
lb
/>
tate æquabili acquiſita per A B tranſeundum erat, & </
s
>
<
s
xml:id
="
echoid-s1227
"
xml:space
="
preserve
">ex D E
<
lb
/>
ipſi A B æquali; </
s
>
<
s
xml:id
="
echoid-s1228
"
xml:space
="
preserve
">tertium compoſitum, ex E F, duplo
<
lb
/>
ipſius B D, & </
s
>
<
s
xml:id
="
echoid-s1229
"
xml:space
="
preserve
">ex F G, eidem A B æquali; </
s
>
<
s
xml:id
="
echoid-s1230
"
xml:space
="
preserve
">quartum com-
<
lb
/>
poſitum ex G H, triplo ipſius B D, & </
s
>
<
s
xml:id
="
echoid-s1231
"
xml:space
="
preserve
">ex H K ipſi itidem
<
lb
/>
A B æquali, atque eadem ratione porro creſcentia, ſi plu-
<
lb
/>
ra fuerint. </
s
>
<
s
xml:id
="
echoid-s1232
"
xml:space
="
preserve
">Dico totidem æqualibus temporibus eadem ſpatia
<
lb
/>
K G, G E, E B, B A, ſingula ſingulis peragenda eſſe à
<
lb
/>
gravi ſurſum tendente, atque incipiente cum celeritate in
<
lb
/>
fine deſcenſus K acquiſita.</
s
>
<
s
xml:id
="
echoid-s1233
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1234
"
xml:space
="
preserve
">Brevitatis autem gratia celeritas quæque deſignetur de-
<
lb
/>
inceps longitudine ſpatii quod grave motu æquabili, cum
<
lb
/>
celeritate illa, atque temporis parte una, quales in deſcen-
<
lb
/>
ſu conſideravimus, tranſmiſſurum eſſet.</
s
>
<
s
xml:id
="
echoid-s1235
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1236
"
xml:space
="
preserve
">Itaque ex oſtenſis dicta propoſitione, cum in K grave
<
lb
/>
pervenerit, habet celeritatem G H auctam celeritate B </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>