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 concordance
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 197
>
Scan
Original
71
71
72
72
73
73
74
74
75
75
76
76
77
77
78
79
80
81
81
82
82
83
83
84
84
85
85
86
86
87
87
88
88
89
89
90
90
91
91
92
92
93
93
94
94
95
95
96
96
97
97
98
98
99
99
100
100
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 197
>
page
|<
<
(96)
of 197
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div406
"
type
="
section
"
level
="
1
"
n
="
293
">
<
pb
o
="
96
"
file
="
527.01.096
"
n
="
96
"
rhead
="
3 L*IBER* S*TATICÆ*
"/>
<
p
>
<
s
xml:id
="
echoid-s2880
"
xml:space
="
preserve
">Perpendiculares per G, H, eductæ ſecent axem C D in K, L, hîc pondus
<
lb
/>
non tribuitur, ut ante, æquis partibus, namque F K in duobus primis diagram-
<
lb
/>
matis major eſt quam F L, in reliquis verò minor, ſed ut F K ad F L ſic pon-
<
lb
/>
dus palangarii H, ad palangarium ſeu vectiarium G. </
s
>
<
s
xml:id
="
echoid-s2881
"
xml:space
="
preserve
">Vnde evidens eſt ſi firmi-
<
lb
/>
tudinis puncta G, H ſub axe C D conſtituantur antecedentem minus premi,
<
lb
/>
ſin verò ſupraſit, ſequentem leviore pondere urgeri. </
s
>
<
s
xml:id
="
echoid-s2882
"
xml:space
="
preserve
">Denique ſi firmitudinis
<
lb
/>
puncta in ipſo axe C D figantur ponde-
<
lb
/>
ris varietatem, neque in clivo neque in
<
lb
/>
<
figure
xlink:label
="
fig-527.01.096-01
"
xlink:href
="
fig-527.01.096-01a
"
number
="
140
">
<
image
file
="
527.01.096-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.096-01
"/>
</
figure
>
planitie ullam eſſe. </
s
>
<
s
xml:id
="
echoid-s2883
"
xml:space
="
preserve
">Quarum demonſtra-
<
lb
/>
tiones è 14, 15, 16, 17, 18, 27, 28 propoſ.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s2884
"
xml:space
="
preserve
">1 lib. </
s
>
<
s
xml:id
="
echoid-s2885
"
xml:space
="
preserve
">repetantur.</
s
>
<
s
xml:id
="
echoid-s2886
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2887
"
xml:space
="
preserve
">Veruntamen cum multorum inſti-
<
lb
/>
tutum non patiatur iſtas cognoſcere,
<
lb
/>
qui nihilominus id optant mechani-
<
lb
/>
ca ratione edoceri, ii ſumant baculum
<
lb
/>
quomodocunque incurvum A B, quod
<
lb
/>
funiculo C D ſuſpendant ex C. </
s
>
<
s
xml:id
="
echoid-s2888
"
xml:space
="
preserve
">De-
<
lb
/>
miſſis deinde à C D æquali diſtantia
<
lb
/>
duobus perpendiculis G H, I K, ut H L,
<
lb
/>
LK ęquales ſint, baculum eandem ſerva-
<
lb
/>
bit theſin; </
s
>
<
s
xml:id
="
echoid-s2889
"
xml:space
="
preserve
">idem erit ſi ſpatium N L di-
<
lb
/>
midium quidem ſit ipſius L K, pondus
<
lb
/>
verò M ponderis F duplum, atque ita
<
lb
/>
deinceps in cæteris. </
s
>
<
s
xml:id
="
echoid-s2890
"
xml:space
="
preserve
">Qua via experientia
<
lb
/>
comprobante, quæ ſupta nobis expoſi-
<
lb
/>
ta ſunt facillimè intelligentur.</
s
>
<
s
xml:id
="
echoid-s2891
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2892
"
xml:space
="
preserve
">REctas quibus in ſuperioribus dia-
<
lb
/>
grammatis corpora geſtari finxi-
<
lb
/>
<
figure
xlink:label
="
fig-527.01.096-02
"
xlink:href
="
fig-527.01.096-02a
"
number
="
141
">
<
image
file
="
527.01.096-02
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.096-02
"/>
</
figure
>
mus, horizonti perpendiculares collo-
<
lb
/>
cavimus; </
s
>
<
s
xml:id
="
echoid-s2893
"
xml:space
="
preserve
">ſi vero obliquę ſumantur plus
<
lb
/>
virium deſiderabitur quam ſit corporis
<
lb
/>
ipſius gravitas, quantum verò unuſ-
<
lb
/>
quiſq; </
s
>
<
s
xml:id
="
echoid-s2894
"
xml:space
="
preserve
">ferat ductis perpendicularibus
<
lb
/>
I M, N O, evidens erit, namque per
<
lb
/>
27 propoſ. </
s
>
<
s
xml:id
="
echoid-s2895
"
xml:space
="
preserve
">1 lib. </
s
>
<
s
xml:id
="
echoid-s2896
"
xml:space
="
preserve
">ut M I ad I G ſic pon-
<
lb
/>
dus rectà ſublatum ad idem ſublatum
<
lb
/>
obliquè hoc eſt potentiam hominis in
<
lb
/>
G; </
s
>
<
s
xml:id
="
echoid-s2897
"
xml:space
="
preserve
">conſimili modo ut O N ad N H,
<
lb
/>
ſic ejus pondus cum rectà attollitur ad
<
lb
/>
idem obliquatum quæ efficientia eſt palangarii ad H, unde ſingulorum effe-
<
lb
/>
ctus per 22 propoſ. </
s
>
<
s
xml:id
="
echoid-s2898
"
xml:space
="
preserve
">1 lib. </
s
>
<
s
xml:id
="
echoid-s2899
"
xml:space
="
preserve
">concludetur.</
s
>
<
s
xml:id
="
echoid-s2900
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s2901
"
xml:space
="
preserve
">A pluribus & </
s
>
<
s
xml:id
="
echoid-s2902
"
xml:space
="
preserve
">magis variis geſtatorum ponderum paradigmatis cum brevi-
<
lb
/>
tatis ſtudio ſuperſedemus, tum quia ex antecedentibus lucem & </
s
>
<
s
xml:id
="
echoid-s2903
"
xml:space
="
preserve
">demonſtra-
<
lb
/>
tionem accipiunt compendi facimus.</
s
>
<
s
xml:id
="
echoid-s2904
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>