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
61
61
62
62
63
63
64
64
65
65
66
66
67
67
68
68
69
69
70
70
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
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 197
>
page
|<
<
(105)
of 197
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div429
"
type
="
section
"
level
="
1
"
n
="
304
">
<
pb
o
="
105
"
file
="
527.01.105
"
n
="
105
"
rhead
="
*DE STATICÆ PRAXI.*
"/>
</
div
>
<
div
xml:id
="
echoid-div430
"
type
="
section
"
level
="
1
"
n
="
305
">
<
head
xml:id
="
echoid-head320
"
xml:space
="
preserve
">DE VERSATIONVM MANVBRII MVLTI-
<
lb
/>
TVDINE, ET TEMPORIS SPATIO QVEIS OPVS
<
lb
/>
EST AD NAVEM TRANS AGGEREM
<
lb
/>
PERTRAHENDVM.</
head
>
<
p
>
<
s
xml:id
="
echoid-s3092
"
xml:space
="
preserve
">SEd quand oquidem ex hypotheſi navis ſextupla ſit ponderis ab axe S ſuſpen-
<
lb
/>
ſi, etiam inclinatio aggeris quà navis adſcendit ſextupla erit altitudinis ſuæ,
<
lb
/>
quod è per 19 prop. </
s
>
<
s
xml:id
="
echoid-s3093
"
xml:space
="
preserve
">1 lib. </
s
>
<
s
xml:id
="
echoid-s3094
"
xml:space
="
preserve
">cognoſcere eſt; </
s
>
<
s
xml:id
="
echoid-s3095
"
xml:space
="
preserve
">atqui altitudinem iſtam 4 pedum ſu-
<
lb
/>
pra ſtatuimus, hæcigitur ſexies ſumpta efficit 24 pedum inclinatam longitudi-
<
lb
/>
nem. </
s
>
<
s
xml:id
="
echoid-s3096
"
xml:space
="
preserve
">Ea longitudo axi S obvolvi debet ut navis gravitatis centrum trans agge-
<
lb
/>
ris medium traduci poſſit. </
s
>
<
s
xml:id
="
echoid-s3097
"
xml:space
="
preserve
">Quare ſi ut ante ambitus circuli in axe triplus ſtatua-
<
lb
/>
tur ſuæ diametri (nam in expoſito caſu ratio hæc verò ſatis vicina eſt) ſeſquipe-
<
lb
/>
dalis, is eritipſe 4 {1/2} pedum, qui in dictis 24 pedibus cõtinentur 5 {1/3}. </
s
>
<
s
xml:id
="
echoid-s3098
"
xml:space
="
preserve
">quamobrem
<
lb
/>
axis S 5 {1/3} verſandus; </
s
>
<
s
xml:id
="
echoid-s3099
"
xml:space
="
preserve
">ſingulis autem ejus verſationibus reſpondent 162 verſatio-
<
lb
/>
nes manubrii M N, utſupra patuit, itaque in univerſum manubrium M N 864
<
lb
/>
circumducendum erit.</
s
>
<
s
xml:id
="
echoid-s3100
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3101
"
xml:space
="
preserve
">Vel ſie. </
s
>
<
s
xml:id
="
echoid-s3102
"
xml:space
="
preserve
">Singulæ verſationes manubrii promovĕt 25 ℔ per intervallum 6 pe-
<
lb
/>
dum, hoc eſt, ſi pondus 5400 ℔ dependeat ab axe S ſingulæ verſationes manu-
<
lb
/>
brii MN tantundem efficiunt ac ſi 25 ℔ 6 pedes attolleret, & </
s
>
<
s
xml:id
="
echoid-s3103
"
xml:space
="
preserve
">conſequenter
<
lb
/>
quaſi ſexies 25 ℔ navis quę ſunt 150 ℔ iſtos 6 pedes attolleret, diviſisq́; </
s
>
<
s
xml:id
="
echoid-s3104
"
xml:space
="
preserve
">32400 ℔
<
lb
/>
per 150 ℔ quotus erit 216, navis igitur univerſæmoles 216 verſationibus manu-
<
lb
/>
brii MN 6 pedes promovebitur, atqui quater ſenos pedes promovenda eſt,
<
lb
/>
itaque quater 216, hoc eſt 864 verſationibus opus eſt. </
s
>
<
s
xml:id
="
echoid-s3105
"
xml:space
="
preserve
">Vel (quia navis 4 pedes
<
lb
/>
attollendaſit) proportione hujuſmodi concludere poteris. </
s
>
<
s
xml:id
="
echoid-s3106
"
xml:space
="
preserve
">una verſatione at-
<
lb
/>
tolluntur 25 ℔ 6 pedes. </
s
>
<
s
xml:id
="
echoid-s3107
"
xml:space
="
preserve
">quotigitur opus erit ut 32400 ℔ attollantur pedes 4-
<
lb
/>
concludes ut ante 864.</
s
>
<
s
xml:id
="
echoid-s3108
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3109
"
xml:space
="
preserve
">Sed millies manubrium unico unius horæ quadrante circumagi poſſe ſta-
<
lb
/>
tuimus, quamobrem ſi omnia ſupra expoſitis congruant, univerſam molem na-
<
lb
/>
vis ſarcinarumq́ue, pondere 9 modiorum, homo unicus minori quàm quadran-
<
lb
/>
tis ſpatio trans aggerem pertraxerit. </
s
>
<
s
xml:id
="
echoid-s3110
"
xml:space
="
preserve
">Si verò à tribus hominibus verſetur manu-
<
lb
/>
briumq́ue inſertent ipſi F intra quadrantis trientem, hoc eſt, {1/12} horæ partem ab-
<
lb
/>
ſolverint. </
s
>
<
s
xml:id
="
echoid-s3111
"
xml:space
="
preserve
">ſiab hominibus 9 manubrium ipſi H affixum circumducatur {1
<
unsure
/>
/16} ho-
<
lb
/>
ræ navis pertrahetur. </
s
>
<
s
xml:id
="
echoid-s3112
"
xml:space
="
preserve
">Poterit autem ſi ſit opus Pancratium hoc geminari atque
<
lb
/>
alterum oppoſito ſcapo Y inſeri quale ipſi AB inſertum vides, atque ita ipſos
<
lb
/>
verſantes bipartiri ne tanta hominum manus mutua opera interturbentur.</
s
>
<
s
xml:id
="
echoid-s3113
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div431
"
type
="
section
"
level
="
1
"
n
="
306
">
<
head
xml:id
="
echoid-head321
"
xml:space
="
preserve
">NOTATO</
head
>
<
p
>
<
s
xml:id
="
echoid-s3114
"
xml:space
="
preserve
">Navem hoc exemplo nobis ita conſiderari tanquam in traductione æquali
<
lb
/>
ſemper pondere operas afficeret, cum tamen ipſum pro ſitu variari per tertium
<
lb
/>
exemplum 9 propoſ. </
s
>
<
s
xml:id
="
echoid-s3115
"
xml:space
="
preserve
">in confeſſo ſit, ponderoſius enim moleſtiusq́ue in fine
<
lb
/>
quàm ſub initium navis adducitur. </
s
>
<
s
xml:id
="
echoid-s3116
"
xml:space
="
preserve
">Quamobrem hoc tanquam exemplo dun-
<
lb
/>
taxat, quomodo in ſingulis ratiocinium ineundum ſit, uſos nos eſſe cogitabis.</
s
>
<
s
xml:id
="
echoid-s3117
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s3118
"
xml:space
="
preserve
">Tympana autem iſta dentata ſeu aſtericos quos in Pancratio eadem ſerieſur-
<
lb
/>
ſum collocavimus, etiam tranſversè, etiam binos binisjunctos, prout operis
<
lb
/>
commoditas concinnitasq́ue exiget, conſtituere licebit.</
s
>
<
s
xml:id
="
echoid-s3119
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>