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
List of thumbnails
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 197
>
31
(31)
32
(32)
33
(33)
34
(34)
35
(35)
36
(36)
37
(37)
38
(38)
39
(39)
40
(40)
<
1 - 10
11 - 20
21 - 30
31 - 40
41 - 50
51 - 60
61 - 70
71 - 80
81 - 90
91 - 100
101 - 110
111 - 120
121 - 130
131 - 140
141 - 150
151 - 160
161 - 170
171 - 180
181 - 190
191 - 197
>
page
|<
<
(37)
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-s1108
"
xml:space
="
preserve
">
<
pb
o
="
37
"
file
="
527.01.037
"
n
="
37
"
rhead
="
*DE* S*TATICÆ ELEMENTIS*.
"/>
u@@a D I cecidiſſet, hoc eſt, ut nunc citra: </
s
>
<
s
xml:id
="
echoid-s1109
"
xml:space
="
preserve
">ita tunc ultra cecidiſſet, & </
s
>
<
s
xml:id
="
echoid-s1110
"
xml:space
="
preserve
">præce-
<
lb
/>
dens demonſtratio etiam iſtiſitui accommoda fuiſſet, hoc eſt, quemadmodum
<
lb
/>
B A ad B N ita ſacoma lateris B A, ad antiſacoma lateris B N eſſet: </
s
>
<
s
xml:id
="
echoid-s1111
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s1112
"
xml:space
="
preserve
">quem-
<
lb
/>
admodum D L ad D O: </
s
>
<
s
xml:id
="
echoid-s1113
"
xml:space
="
preserve
">ita ſacoma lateris D L, ad antiſacoma lateris D O.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1114
"
xml:space
="
preserve
">hoc eſt M ad P. </
s
>
<
s
xml:id
="
echoid-s1115
"
xml:space
="
preserve
">Vtiſta proportio non tantum in exemplis valeat, in quibus
<
lb
/>
linea attollens, ut D I, perpendicularis eſt axi, ſed etiam in aliis cujuſmodi-
<
lb
/>
cunque ſint anguli.</
s
>
<
s
xml:id
="
echoid-s1116
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1117
"
xml:space
="
preserve
">ISta etiam deglobo in lineâ, ut A B, jacente intelligi poſſunt, nam & </
s
>
<
s
xml:id
="
echoid-s1118
"
xml:space
="
preserve
">hic, ut
<
lb
/>
L D ad D O: </
s
>
<
s
xml:id
="
echoid-s1119
"
xml:space
="
preserve
">ita M ad P (modo C L ad A B perpendicularis ſit, hoc eſt,
<
lb
/>
patallela ad axem G H globi D) atqui pon-
<
lb
/>
<
figure
xlink:label
="
fig-527.01.037-01
"
xlink:href
="
fig-527.01.037-01a
"
number
="
61
">
<
image
file
="
527.01.037-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.037-01
"/>
</
figure
>
dus Mglobo D æquatur, ideo etiam ut L D
<
lb
/>
ad D O: </
s
>
<
s
xml:id
="
echoid-s1120
"
xml:space
="
preserve
">ita pondus globi ad pondus P. </
s
>
<
s
xml:id
="
echoid-s1121
"
xml:space
="
preserve
">Ve-
<
lb
/>
rumenimvero, quia L D & </
s
>
<
s
xml:id
="
echoid-s1122
"
xml:space
="
preserve
">D O intra glo-
<
lb
/>
biſoliditatem re ipſa delineari cõmodè non
<
lb
/>
poſſunt, perpendiculari C E ductâ, extra
<
lb
/>
globi ſolidum comprehĕdetur C E O trian-
<
lb
/>
gulum L D O triangulo ſimile, cujus latera
<
lb
/>
L D & </
s
>
<
s
xml:id
="
echoid-s1123
"
xml:space
="
preserve
">C E, item D O & </
s
>
<
s
xml:id
="
echoid-s1124
"
xml:space
="
preserve
">E O homologa
<
lb
/>
erunt. </
s
>
<
s
xml:id
="
echoid-s1125
"
xml:space
="
preserve
">Quemadmodum igitur L D ad D O:
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s1126
"
xml:space
="
preserve
">ita C E ad E O, & </
s
>
<
s
xml:id
="
echoid-s1127
"
xml:space
="
preserve
">per conſequens ut C E ad E O: </
s
>
<
s
xml:id
="
echoid-s1128
"
xml:space
="
preserve
">itaglobi pondus ad P.</
s
>
<
s
xml:id
="
echoid-s1129
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1130
"
xml:space
="
preserve
">VT major claritudo hujus ſit, ſublatis aliis li-
<
lb
/>
<
figure
xlink:label
="
fig-527.01.037-02
"
xlink:href
="
fig-527.01.037-02a
"
number
="
62
">
<
image
file
="
527.01.037-02
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.037-02
"/>
</
figure
>
neis omnibus dicatur ut C E ad C O: </
s
>
<
s
xml:id
="
echoid-s1131
"
xml:space
="
preserve
">ita
<
lb
/>
pondus globi D ad pondus P.</
s
>
<
s
xml:id
="
echoid-s1132
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1133
"
xml:space
="
preserve
">NEque illud de globis tantum verum eſt, ſed
<
lb
/>
etiam de quibuſvis corporibus, puncta vel li-
<
lb
/>
neas ſtringentibus, aut etiam per illa volutis, ut in-
<
lb
/>
fra videre eſt. </
s
>
<
s
xml:id
="
echoid-s1134
"
xml:space
="
preserve
">Sed de his in S*TATICES* praxi
<
lb
/>
<
figure
xlink:label
="
fig-527.01.037-03
"
xlink:href
="
fig-527.01.037-03a
"
number
="
63
">
<
image
file
="
527.01.037-03
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.037-03
"/>
</
figure
>
preſſius dicemus. </
s
>
<
s
xml:id
="
echoid-s1135
"
xml:space
="
preserve
">Nam & </
s
>
<
s
xml:id
="
echoid-s1136
"
xml:space
="
preserve
">hîc dicimus quemadmodum C E ad E O: </
s
>
<
s
xml:id
="
echoid-s1137
"
xml:space
="
preserve
">ita pon-
<
lb
/>
dus corporis D, ad pondus P.</
s
>
<
s
xml:id
="
echoid-s1138
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s1139
"
xml:space
="
preserve
">VNde etiam hoc manifeſtum: </
s
>
<
s
xml:id
="
echoid-s1140
"
xml:space
="
preserve
">Si recta A B horizonti eſt parallela, qua-
<
lb
/>
lem figuram hic juxta poſitam videre eſt, rectas C E & </
s
>
<
s
xml:id
="
echoid-s1141
"
xml:space
="
preserve
">C O in unam & </
s
>
<
s
xml:id
="
echoid-s1142
"
xml:space
="
preserve
">
<
lb
/>
candem lineam coïre, ideoq́ue inter E & </
s
>
<
s
xml:id
="
echoid-s1143
"
xml:space
="
preserve
">O nullam longitudinĕ & </
s
>
<
s
xml:id
="
echoid-s1144
"
xml:space
="
preserve
">propterea
<
lb
/>
rectæ C E ad rectam E O nullam rationĕ fore. </
s
>
<
s
xml:id
="
echoid-s1145
"
xml:space
="
preserve
">Hinc intelligere in proclivi </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>