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
91
55
92
56
93
57
94
58
95
59
96
60
97
61
98
62
99
63
100
64
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
<
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
|<
<
(60)
of 434
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div62
"
type
="
section
"
level
="
1
"
n
="
27
">
<
pb
o
="
60
"
file
="
0092
"
n
="
96
"
rhead
="
CHRISTIANI HUGENII
"/>
</
div
>
<
div
xml:id
="
echoid-div65
"
type
="
section
"
level
="
1
"
n
="
28
">
<
note
position
="
left
"
xml:space
="
preserve
">
<
emph
style
="
sc
">De de-</
emph
>
<
lb
/>
<
emph
style
="
sc
">SOENSU</
emph
>
<
lb
/>
<
emph
style
="
sc
">GRAVIUM</
emph
>
.</
note
>
<
head
xml:id
="
echoid-head50
"
xml:space
="
preserve
">PROPOSITIO V. </
head
>
<
p
style
="
it
">
<
s
xml:id
="
echoid-s1279
"
xml:space
="
preserve
">SPatium peractum certo tempore, à gravi è quie-
<
lb
/>
te caſum inchoante, dimidium eſſe ejus ſpatii
<
lb
/>
quod pari tempore transiret motu æquabili, cum
<
lb
/>
celeritate quam acquiſivit ultimo caſus momento.</
s
>
<
s
xml:id
="
echoid-s1280
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1281
"
xml:space
="
preserve
">Sit tempus deſcenſus totius A H, quo tempore mobile
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0092-02
"
xlink:href
="
note-0092-02a
"
xml:space
="
preserve
">TAB. V.
<
lb
/>
Fig. 3.</
note
>
peregerit ſpatium quoddam cujus quantitas deſignetur plano P.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1282
"
xml:space
="
preserve
">ductaque H L perpendiculari ad A H, longitudinis cujus-
<
lb
/>
libet, referat illa celeritatem in fine caſus acquiſitam. </
s
>
<
s
xml:id
="
echoid-s1283
"
xml:space
="
preserve
">Dein-
<
lb
/>
de completo rectangulo A H L M, intelligatur eo notari
<
lb
/>
quantitas ſpatii quod percurreretur tempore A H, cum ce-
<
lb
/>
leritate H L. </
s
>
<
s
xml:id
="
echoid-s1284
"
xml:space
="
preserve
">Oſtendendum eſt igitur planum P dimidium
<
lb
/>
eſſe rectanguli M H, hoc eſt, ducta diagonali A L, æqua-
<
lb
/>
le triangulo A H L.</
s
>
<
s
xml:id
="
echoid-s1285
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1286
"
xml:space
="
preserve
">Si planum P non eſt æquale triangulo A H L, ergo aut
<
lb
/>
minus eo erit, aut majus. </
s
>
<
s
xml:id
="
echoid-s1287
"
xml:space
="
preserve
">Sit primo, ſi fieri poteſt, pla-
<
lb
/>
num P minus triangulo A H L. </
s
>
<
s
xml:id
="
echoid-s1288
"
xml:space
="
preserve
">dividatur autem A H in tot
<
lb
/>
partes æquales A C, C E, E G &</
s
>
<
s
xml:id
="
echoid-s1289
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s1290
"
xml:space
="
preserve
">ut, circumſcriptâ tri-
<
lb
/>
angulo A H L figurâ è rectangulis quorum altitudo ſingulis
<
lb
/>
diviſionum ipſius A H partibus æquetur, ut ſunt rectangula
<
lb
/>
B C, D E, F G, alterâque eidem triangulo inſcriptâ, ex
<
lb
/>
rectangulis ejusdem altitudinis, ut ſunt K E, O G &</
s
>
<
s
xml:id
="
echoid-s1291
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s1292
"
xml:space
="
preserve
">ut,
<
lb
/>
inquam, exceſſus illius figuræ ſupra hanc, minor ſit exceſ-
<
lb
/>
ſu trianguli A H L ſupra planum P. </
s
>
<
s
xml:id
="
echoid-s1293
"
xml:space
="
preserve
">hoc enim fieri poſſe
<
lb
/>
perſpicuum eſt, cum totus exceſſus figuræ circumſcriptæ ſu-
<
lb
/>
per inſcriptam æquetur rectangulo infimo, baſin habenti H L.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1294
"
xml:space
="
preserve
">Erit itaque omnino exceſſus ipſius trianguli A H L ſupra
<
lb
/>
figuram inſcriptam minor quam ſupra planum P, ac proin-
<
lb
/>
de figura triangulo inſcripta major plano P. </
s
>
<
s
xml:id
="
echoid-s1295
"
xml:space
="
preserve
">Porro autem,
<
lb
/>
quum recta A H tempus totius deſcenſus referat, ejus par-
<
lb
/>
tes æquales A C, C E, E G, æquales temporis illius par-
<
lb
/>
tes referent. </
s
>
<
s
xml:id
="
echoid-s1296
"
xml:space
="
preserve
">Cumque celeritates mobilis cadentis creſcant
<
lb
/>
<
note
symbol
="
*
"
position
="
left
"
xlink:label
="
note-0092-03
"
xlink:href
="
note-0092-03a
"
xml:space
="
preserve
">Prop. I.
<
lb
/>
huj.</
note
>
eadem proportione qua tempora deſcenſus ; </
s
>
<
s
xml:id
="
echoid-s1297
"
xml:space
="
preserve
">ſitque </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>