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
31
31
32
32
33
33
34
34
35
35
36
36
37
37
38
38
39
39
40
40
41
41
42
42
43
43
44
44
45
45
46
46
47
47
48
48
49
49
50
50
51
51
52
53
54
55
55
56
56
57
57
58
58
59
59
60
60
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 197
>
page
|<
<
(38)
of 197
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div182
"
type
="
section
"
level
="
1
"
n
="
138
">
<
p
>
<
s
xml:id
="
echoid-s1145
"
xml:space
="
preserve
">
<
pb
o
="
38
"
file
="
527.01.038
"
n
="
38
"
rhead
="
1 L*IBER* S*TATICÆ*
"/>
nullum pondus, quantulumcunque fuerit in P, ſitu æquipondium eſſe poſſe
<
lb
/>
cõtra corpus D, verùm (mathematicè intel-
<
lb
/>
<
figure
xlink:label
="
fig-527.01.038-01
"
xlink:href
="
fig-527.01.038-01a
"
number
="
64
">
<
image
file
="
527.01.038-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.038-01
"/>
</
figure
>
ligitor) loco promovere poſſe quantumvis
<
lb
/>
póderoſium fuerit. </
s
>
<
s
xml:id
="
echoid-s1146
"
xml:space
="
preserve
">Vnde cõſequitur, quæ-
<
lb
/>
vis põdera ſecundum horizontem promo-
<
lb
/>
ta, cujuſmodi ſunt naves in aquis, plauſtra
<
lb
/>
in camporũ æquoribus, &</
s
>
<
s
xml:id
="
echoid-s1147
"
xml:space
="
preserve
">c. </
s
>
<
s
xml:id
="
echoid-s1148
"
xml:space
="
preserve
">ne muſcæ qui-
<
lb
/>
dem potentiam ad motum ſui requirere,
<
lb
/>
niſi quantum circumſtantia obſtacula offi-
<
lb
/>
ciunt, motumq́; </
s
>
<
s
xml:id
="
echoid-s1149
"
xml:space
="
preserve
">impediunt. </
s
>
<
s
xml:id
="
echoid-s1150
"
xml:space
="
preserve
">ut Aqua, Aër,
<
lb
/>
axium in modiolos ſuos, rotarumq́; </
s
>
<
s
xml:id
="
echoid-s1151
"
xml:space
="
preserve
">in via-
<
lb
/>
rum ſtrata offenſationes, & </
s
>
<
s
xml:id
="
echoid-s1152
"
xml:space
="
preserve
">impactiones, & </
s
>
<
s
xml:id
="
echoid-s1153
"
xml:space
="
preserve
">alia hujuſcemodi.</
s
>
<
s
xml:id
="
echoid-s1154
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1155
"
xml:space
="
preserve
">SEd triangulũ A B N 6 conſectar
<
unsure
/>
ii, quan-
<
lb
/>
<
figure
xlink:label
="
fig-527.01.038-02
"
xlink:href
="
fig-527.01.038-02a
"
number
="
65
">
<
image
file
="
527.01.038-02
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.038-02
"/>
</
figure
>
doquidem ad proportionem hanc nihil
<
lb
/>
adjumenti, neque adfert, nequeinde aufert,
<
lb
/>
ſublatum fingamus, & </
s
>
<
s
xml:id
="
echoid-s1156
"
xml:space
="
preserve
">G firmum columnæ
<
lb
/>
punctum coni, aut pyramidis faſtigio inniti,
<
lb
/>
ut vides; </
s
>
<
s
xml:id
="
echoid-s1157
"
xml:space
="
preserve
">nihilo tamen minus erit, quemad-
<
lb
/>
modum L D ad D O: </
s
>
<
s
xml:id
="
echoid-s1158
"
xml:space
="
preserve
">ita M ad P.</
s
>
<
s
xml:id
="
echoid-s1159
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div189
"
type
="
section
"
level
="
1
"
n
="
139
">
<
head
xml:id
="
echoid-head151
"
xml:space
="
preserve
">7 C*ONSECTARIUM*.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1160
"
xml:space
="
preserve
">VErum ne iſta proportio ſolius columnæ eſſe videatur, ubilinea rectè ex-
<
lb
/>
tollens, ut D L, è centro eſt ducta, & </
s
>
<
s
xml:id
="
echoid-s1161
"
xml:space
="
preserve
">firmum punctum axis extremitas
<
lb
/>
eſt, ut G 6 conſectarii: </
s
>
<
s
xml:id
="
echoid-s1162
"
xml:space
="
preserve
">Triangulum A B C eſto, cujus latus A B duplum
<
lb
/>
ſit lateris B C, & </
s
>
<
s
xml:id
="
echoid-s1163
"
xml:space
="
preserve
">hoc ipſum B C perpendiculare reliquo A C: </
s
>
<
s
xml:id
="
echoid-s1164
"
xml:space
="
preserve
">D E co-
<
lb
/>
lumna eſto, ejusq́ue axis F G, perpendicularis in latus A B, illudq́ue ſecans in
<
lb
/>
H; </
s
>
<
s
xml:id
="
echoid-s1165
"
xml:space
="
preserve
">I verò contingens in eodĕ axe punctum.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1166
"
xml:space
="
preserve
">
<
figure
xlink:label
="
fig-527.01.038-03
"
xlink:href
="
fig-527.01.038-03a
"
number
="
66
">
<
image
file
="
527.01.038-03
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.038-03
"/>
</
figure
>
Eſto & </
s
>
<
s
xml:id
="
echoid-s1167
"
xml:space
="
preserve
">altera K L æqualis & </
s
>
<
s
xml:id
="
echoid-s1168
"
xml:space
="
preserve
">ſimilis D E
<
lb
/>
columnæ, ejusq́; </
s
>
<
s
xml:id
="
echoid-s1169
"
xml:space
="
preserve
">axis M N, & </
s
>
<
s
xml:id
="
echoid-s1170
"
xml:space
="
preserve
">O punctum
<
lb
/>
tangens B C, eodem ſitu in ſua columna,
<
lb
/>
quo H in D E. </
s
>
<
s
xml:id
="
echoid-s1171
"
xml:space
="
preserve
">P quoque punctum alterum
<
lb
/>
eo ſitu eſto in K L, quo I in D E. </
s
>
<
s
xml:id
="
echoid-s1172
"
xml:space
="
preserve
">Q fir-
<
lb
/>
mum punctum ſtatuitor, quod linea I Q P
<
lb
/>
ducta ac reducta ſtringat, radatq́ue, ut I Q
<
lb
/>
ad A B, Q P vero ad B C parallela ſit. </
s
>
<
s
xml:id
="
echoid-s1173
"
xml:space
="
preserve
">Pro-
<
lb
/>
pter cauſas, 19 propoſitione de quatuorde-
<
lb
/>
cim globis enucleatas, (quæ etſi hic quoque de columnis ſimiliter motis, & </
s
>
<
s
xml:id
="
echoid-s1174
"
xml:space
="
preserve
">
<
lb
/>
puncta firma ſtring entibus demonſtrari poſſunt, præterire tamen animus eſt,
<
lb
/>
quia iſtinc repetita facile intelligi poſſunt) ſacoma columnæ K L duplum eſt,
<
lb
/>
ad antiſacoma columnæ D E.</
s
>
<
s
xml:id
="
echoid-s1175
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div191
"
type
="
section
"
level
="
1
"
n
="
140
">
<
head
xml:id
="
echoid-head152
"
xml:space
="
preserve
">8 C*ONSECTARIUM*.</
head
>
<
p
>
<
s
xml:id
="
echoid-s1176
"
xml:space
="
preserve
">A D I, 7 confectarii pondus R rectè extollens, & </
s
>
<
s
xml:id
="
echoid-s1177
"
xml:space
="
preserve
">columnæ æquilibreap-
<
lb
/>
penditor, cujus linea rectè attollens I S ſit, ſecans latus columnæ in T, & </
s
>
<
s
xml:id
="
echoid-s1178
"
xml:space
="
preserve
">
<
lb
/>
I Q idem latus ſecet in V, & </
s
>
<
s
xml:id
="
echoid-s1179
"
xml:space
="
preserve
">de P Q pondus X, pro columna K L, </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>