Stevin, Simon
,
Mathematicorum hypomnematum... : T. 4: De Statica : cum appendice et additamentis
,
1605
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Figures
Content
Thumbnails
page
|<
<
(176)
of 197
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div677
"
type
="
section
"
level
="
1
"
n
="
480
">
<
p
>
<
s
xml:id
="
echoid-s4953
"
xml:space
="
preserve
">
<
pb
o
="
176
"
file
="
527.01.176
"
n
="
176
"
rhead
="
A*DDITAMENTI* S*TATICÆ PARS SECUNDA*
"/>
tum: </
s
>
<
s
xml:id
="
echoid-s4954
"
xml:space
="
preserve
">ſed K H in exemplo geminarum trochlearum, quale hoc eſt, æquatur di-
<
lb
/>
midiæ K L; </
s
>
<
s
xml:id
="
echoid-s4955
"
xml:space
="
preserve
">quare potentia pertinens ad F, eſt dimidia ejus quæ ſuſtinetur ab
<
lb
/>
I, quare ſingulis funibus par cedit onus, ſcilicettriens ponderis, cujus ad da-
<
lb
/>
<
figure
xlink:label
="
fig-527.01.176-01
"
xlink:href
="
fig-527.01.176-01a
"
number
="
234
">
<
image
file
="
527.01.176-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.176-01
"/>
</
figure
>
tum ratio eſt quæ L H ad H K. </
s
>
<
s
xml:id
="
echoid-s4956
"
xml:space
="
preserve
">quamobrem in ſimilibus exemplis concludes
<
lb
/>
hoc modo, ut K H ad H L, ſic datum pondusad quod aliud? </
s
>
<
s
xml:id
="
echoid-s4957
"
xml:space
="
preserve
">ejus, quod hinc
<
lb
/>
efficitur, pars tertia dabit vim ponderis ab F ſuſtentati; </
s
>
<
s
xml:id
="
echoid-s4958
"
xml:space
="
preserve
">itemq́ue quantum reli-
<
lb
/>
quorum funium ſingulis cedat. </
s
>
<
s
xml:id
="
echoid-s4959
"
xml:space
="
preserve
">Cum autem tres proponenturtrochleæ, ma-
<
lb
/>
nifeſtum eſt quartam partem ponderis, hujuſmodi proportione concluſi, aſſu-
<
lb
/>
mendam. </
s
>
<
s
xml:id
="
echoid-s4960
"
xml:space
="
preserve
">atque eo deinceps in cæteris progreſſu continuo.</
s
>
<
s
xml:id
="
echoid-s4961
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4962
"
xml:space
="
preserve
">Curautem K L potiùs parallela nobis ſit conſtituta contra H I, quàm con-
<
lb
/>
tra funes ductorios, id ex his quæ deſimilibus, adſecundum tertiumq́ue con-
<
lb
/>
ſectarium primæ partis hujus additamenti dicta nobis ſunt, in promptu erit.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4963
"
xml:space
="
preserve
">nam totius machinæ & </
s
>
<
s
xml:id
="
echoid-s4964
"
xml:space
="
preserve
">ponderis pendula diametros tendit per punctum H, à
<
lb
/>
quo manifeſtò duæ lineæ, ex quibus ratiocinium inſtituendum, ſunt educen-
<
lb
/>
dæ. </
s
>
<
s
xml:id
="
echoid-s4965
"
xml:space
="
preserve
">C*ONCLVSIO*. </
s
>
<
s
xml:id
="
echoid-s4966
"
xml:space
="
preserve
">Itaque ponderum trochleis ſublatorum tormas, ut po-
<
lb
/>
ſtulabatur, inquiſivimus.</
s
>
<
s
xml:id
="
echoid-s4967
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div680
"
type
="
section
"
level
="
1
"
n
="
481
">
<
head
xml:id
="
echoid-head511
"
xml:space
="
preserve
">T*ROCHLEOSTATICÆ*</
head
>
<
head
xml:id
="
echoid-head512
"
xml:space
="
preserve
">FINIS.</
head
>
</
div
>
</
text
>
</
echo
>