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
>
131
(131)
132
(132)
133
(133)
134
(134)
135
(135)
136
(136)
137
(137)
138
(138)
139
(139)
140
(140)
<
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
|<
<
(167)
of 197
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div661
"
type
="
section
"
level
="
1
"
n
="
471
">
<
p
>
<
s
xml:id
="
echoid-s4825
"
xml:space
="
preserve
">
<
pb
o
="
167
"
file
="
527.01.167
"
n
="
167
"
rhead
="
*DE* S*PARTOSTATICA.*
"/>
diſtendatur concludes. </
s
>
<
s
xml:id
="
echoid-s4826
"
xml:space
="
preserve
">ac pari ratione quo pondere reliquæ C D, C E diſti-
<
lb
/>
neantur cognoſces.</
s
>
<
s
xml:id
="
echoid-s4827
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4828
"
xml:space
="
preserve
">Præterea ſi hæ retinaculorum lineæ in alias inſuper lineas diducantur, pon-
<
lb
/>
dus quo ipſarum unaquæque diſtenditur, conſimiliter 9 conſectario conclu-
<
lb
/>
detur.</
s
>
<
s
xml:id
="
echoid-s4829
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div663
"
type
="
section
"
level
="
1
"
n
="
472
">
<
head
xml:id
="
echoid-head500
"
xml:space
="
preserve
">11 C*ONSECTARIUM.*</
head
>
<
p
>
<
s
xml:id
="
echoid-s4830
"
xml:space
="
preserve
">Si quatuor lineæ adidem punctum cohæreſcant, cujuſmodi antecedenti cõ-
<
lb
/>
ſectario tres, propoſitio hæc unam certamq́ue determinationem non habet.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4831
"
xml:space
="
preserve
">Sic A, B, C, D tanquam ſuprema linearum, è quibus pondus dependet,
<
lb
/>
puncta intelligantor. </
s
>
<
s
xml:id
="
echoid-s4832
"
xml:space
="
preserve
">lam pendula ejus diameter vel incidet in rectam A D, vel
<
lb
/>
extra ipſam intra trian gulum A D B, vel intra A D C (fieri enim non poteſt ut in
<
lb
/>
ambitu quadranguli A B C D cadat, nedum extra) ſi incidat in A D, conſtat
<
lb
/>
rectas ad B & </
s
>
<
s
xml:id
="
echoid-s4833
"
xml:space
="
preserve
">C pertingentes, potentiam quâ iſtæ ſub A & </
s
>
<
s
xml:id
="
echoid-s4834
"
xml:space
="
preserve
">D diſtenduntur
<
lb
/>
quiddam allevare; </
s
>
<
s
xml:id
="
echoid-s4835
"
xml:space
="
preserve
">ſed cùm triangulũ dua-
<
lb
/>
rum iſtarum linearum quæ ſub A, B, con-
<
lb
/>
<
figure
xlink:label
="
fig-527.01.167-01
"
xlink:href
="
fig-527.01.167-01a
"
number
="
227
">
<
image
file
="
527.01.167-01
"
xlink:href
="
http://echo.mpiwg-berlin.mpg.de/zogilib?fn=/permanent/library/xxxxxxxx/figures/527.01.167-01
"/>
</
figure
>
ſiſtunt & </
s
>
<
s
xml:id
="
echoid-s4836
"
xml:space
="
preserve
">tertiæ A D, nullam admittat mu-
<
lb
/>
tationem varietatemvé, diverſę & </
s
>
<
s
xml:id
="
echoid-s4837
"
xml:space
="
preserve
">multipli-
<
lb
/>
ces potĕtiæ, ad C & </
s
>
<
s
xml:id
="
echoid-s4838
"
xml:space
="
preserve
">B adjungi poſſunt quę
<
lb
/>
linearũ ſub A, D diſtenſionem immutent,
<
lb
/>
manente tamen eâdĕ datæ formæ diſpoſi-
<
lb
/>
tione, adeò ut certa ſingularũ partium de-
<
lb
/>
terminatio nulla hic inveniri poſſit Cumautem pendula gravitatis diameter in
<
lb
/>
E intra triangulum A D B cadet, tum quarta C à mutatione ſitus ponderum
<
lb
/>
quæ ad A, B, C pertinent planè erit immunis. </
s
>
<
s
xml:id
="
echoid-s4839
"
xml:space
="
preserve
">ex quibus efficitur propoſitio-
<
lb
/>
nem hujuſmodinullam partium ratam determinationem admittere.</
s
>
<
s
xml:id
="
echoid-s4840
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4841
"
xml:space
="
preserve
">Advertendum autem inſuper, cùm quatuor lineæ certam aliquam determi-
<
lb
/>
nationem reſpuant, multò firmioriratione complurium linearum concluſio-
<
lb
/>
nem incertam eſſe. </
s
>
<
s
xml:id
="
echoid-s4842
"
xml:space
="
preserve
">Similiq́ue ratione, cum 9 conſectario demonſtratum ſit,
<
lb
/>
tres lineas in eodem plano nullam certam cõcluſionem habere, etiam quatuor,
<
lb
/>
aliasq́ue plures longè minùs determinatione aliqua certa circumſcribi.</
s
>
<
s
xml:id
="
echoid-s4843
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div665
"
type
="
section
"
level
="
1
"
n
="
473
">
<
head
xml:id
="
echoid-head501
"
xml:space
="
preserve
">NOTATO</
head
>
<
p
>
<
s
xml:id
="
echoid-s4844
"
xml:space
="
preserve
">Corpus etiam modo ab 11 conſectario diverſo è tribus lineis depĕdere poſſe,
<
lb
/>
cùm ſcilicet tribus diſtantibus locis ipſæ corpori affigentur, ut continuatæ ta-
<
lb
/>
men in eodem puncto non concurrant; </
s
>
<
s
xml:id
="
echoid-s4845
"
xml:space
="
preserve
">quod per 25 propoſ. </
s
>
<
s
xml:id
="
echoid-s4846
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s4847
"
xml:space
="
preserve
">1. </
s
>
<
s
xml:id
="
echoid-s4848
"
xml:space
="
preserve
">ſide duabus
<
lb
/>
tantum lineis ſuſpendantur neceſſariò cõtingit. </
s
>
<
s
xml:id
="
echoid-s4849
"
xml:space
="
preserve
">Sed quâ viâ inveniatur pondus
<
lb
/>
iſtarum unicuique debitum, nondum etiam, dum hæctypis excuderentur, aſſe-
<
lb
/>
cutus eram: </
s
>
<
s
xml:id
="
echoid-s4850
"
xml:space
="
preserve
">ſi quid vel à meipſo, vel ab alio quopiam hoc problema juvabi-
<
lb
/>
tur, id temporis proceſſu fiet palam.</
s
>
<
s
xml:id
="
echoid-s4851
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div666
"
type
="
section
"
level
="
1
"
n
="
474
">
<
head
xml:id
="
echoid-head502
"
xml:space
="
preserve
">12 C*ONSECTARIUM.*</
head
>
<
p
>
<
s
xml:id
="
echoid-s4852
"
xml:space
="
preserve
">Ponderis igitur ab unâlineâ ſuſpenſi, ex qua deinde duæ treſvé aliæ in partes
<
lb
/>
diverſas diſtractæ exiſtant, ratio hujuſmodi fuit; </
s
>
<
s
xml:id
="
echoid-s4853
"
xml:space
="
preserve
">unde affectiones Staticæ dua-
<
lb
/>
rum triumvé itidem linearum, eidem ponderi affixarum & </
s
>
<
s
xml:id
="
echoid-s4854
"
xml:space
="
preserve
">ſurſum tendentium,
<
lb
/>
inq́ue idem pendulæ gravitatis diametri punctum incurrentium, in procinctu
<
lb
/>
erunt. </
s
>
<
s
xml:id
="
echoid-s4855
"
xml:space
="
preserve
">enimverò A B pondus eſto, de duabus lineis D C, E C ſuſpenſum, inq́
<
lb
/>
C puncto concurrunto, pendulaq́ue diameter F C. </
s
>
<
s
xml:id
="
echoid-s4856
"
xml:space
="
preserve
">quantum igitur </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>