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
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
61
61
62
62
63
63
64
64
65
65
66
66
67
67
68
68
69
69
70
70
<
1 - 30
31 - 60
61 - 90
91 - 120
121 - 150
151 - 180
181 - 197
>
page
|<
<
(153)
of 197
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
la
"
type
="
free
">
<
div
xml:id
="
echoid-div632
"
type
="
section
"
level
="
1
"
n
="
453
">
<
p
>
<
s
xml:id
="
echoid-s4530
"
xml:space
="
preserve
">
<
pb
o
="
153
"
file
="
527.01.153
"
n
="
153
"
rhead
="
S*TATICES*.
"/>
axungia illud oleo perungitur; </
s
>
<
s
xml:id
="
echoid-s4531
"
xml:space
="
preserve
">aliud humido aëre turgeſcit, aliud erugine cor-
<
lb
/>
ripitur, quæ omnia (ut multa alia omittam) machinarum motus modò expe-
<
lb
/>
diunt, modò impediunt. </
s
>
<
s
xml:id
="
echoid-s4532
"
xml:space
="
preserve
">Itaque ut in Statices Praxis præfatione dictum eſt, hu-
<
lb
/>
juſmodi proportioni, quæ probabilis videtur, nullo modo fidendum eſt: </
s
>
<
s
xml:id
="
echoid-s4533
"
xml:space
="
preserve
">quin
<
lb
/>
omnia iſta quæ Cardanus 5 Proport. </
s
>
<
s
xml:id
="
echoid-s4534
"
xml:space
="
preserve
">lib. </
s
>
<
s
xml:id
="
echoid-s4535
"
xml:space
="
preserve
">in variis propoſitionibus, aliiq́ue quam
<
lb
/>
plurimi hinc deducunt, falſa & </
s
>
<
s
xml:id
="
echoid-s4536
"
xml:space
="
preserve
">veri vana habenda ſunt. </
s
>
<
s
xml:id
="
echoid-s4537
"
xml:space
="
preserve
">Eo
<
unsure
/>
ſohis motus & </
s
>
<
s
xml:id
="
echoid-s4538
"
xml:space
="
preserve
">mo-
<
lb
/>
vendi æquilibrio contenti ſimus, quippe quæ his abundè ſatis faciat.</
s
>
<
s
xml:id
="
echoid-s4539
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
<
div
xml:id
="
echoid-div633
"
type
="
section
"
level
="
1
"
n
="
454
">
<
head
xml:id
="
echoid-head476
"
xml:space
="
preserve
">C*AP. III.*</
head
>
<
head
xml:id
="
echoid-head477
"
style
="
it
"
xml:space
="
preserve
">Staticam eſſe Mathematicarum Liberalium
<
lb
/>
artium unam.</
head
>
<
p
>
<
s
xml:id
="
echoid-s4540
"
xml:space
="
preserve
">QVamvis de iſtarum rerum nominibus quibus doctrina nihil obſcuratur
<
lb
/>
controvertere, aut in diſceptationem vocare ſupervacaneum ſit; </
s
>
<
s
xml:id
="
echoid-s4541
"
xml:space
="
preserve
">non eſt
<
lb
/>
tamen cur hæc eò pertinere quis arbitretur; </
s
>
<
s
xml:id
="
echoid-s4542
"
xml:space
="
preserve
">nam nos cum uſui erit Staticam li-
<
lb
/>
beralem artem appellabimus, atq; </
s
>
<
s
xml:id
="
echoid-s4543
"
xml:space
="
preserve
">ideo ejus appellationis rationem redderene-
<
lb
/>
ceſſe fuerit. </
s
>
<
s
xml:id
="
echoid-s4544
"
xml:space
="
preserve
">Quemadmodum igitur numeri & </
s
>
<
s
xml:id
="
echoid-s4545
"
xml:space
="
preserve
">magnitudinis materia diverſa,
<
lb
/>
meritiſſimò quoque artium ſuarum limites & </
s
>
<
s
xml:id
="
echoid-s4546
"
xml:space
="
preserve
">confinia ſecernenda diſtinguit;
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4547
"
xml:space
="
preserve
">illaq́ue Arithmeticæ hæc Geometriæ terminis circumſcribitur, ut ſingulæ con-
<
lb
/>
venientiori ordine, magis propriè, magisq́; </
s
>
<
s
xml:id
="
echoid-s4548
"
xml:space
="
preserve
">perſpicuè deſcribantur & </
s
>
<
s
xml:id
="
echoid-s4549
"
xml:space
="
preserve
">docean-
<
lb
/>
tur: </
s
>
<
s
xml:id
="
echoid-s4550
"
xml:space
="
preserve
">cumq́ue ſubtilis materies iſtis artibus ſubjecta à natura nobis ingenita aut
<
lb
/>
cognita non ſit; </
s
>
<
s
xml:id
="
echoid-s4551
"
xml:space
="
preserve
">ſed è variorum ſcriptis qui ſummo ſtudio maximaq́ue diligen-
<
lb
/>
tia in his ſeſe exercuere, imò non rarò caſu notitiam excellentium rerum ſunt
<
lb
/>
adepti, perdiſcenda ſit; </
s
>
<
s
xml:id
="
echoid-s4552
"
xml:space
="
preserve
">atque illarum cognitio humano uſui perquam neceſſa-
<
lb
/>
ria, ideoq́ue homine ingenuo digna, unde ipſæ liberales artes appellantur, & </
s
>
<
s
xml:id
="
echoid-s4553
"
xml:space
="
preserve
">
<
lb
/>
ſua certitudine reliquas artes longè antecellant; </
s
>
<
s
xml:id
="
echoid-s4554
"
xml:space
="
preserve
">meritò Mathematicæ appellan-
<
lb
/>
tur, cum ita eſſe non perſuadeant, ſed demonſtrando cogant, doceantq́ue. </
s
>
<
s
xml:id
="
echoid-s4555
"
xml:space
="
preserve
">Pari
<
lb
/>
ratione etiam Statica iſtis connumeranda, partim quia hujus materia gravitas,
<
lb
/>
ſit ab illarum utraque, numero ſcilicet & </
s
>
<
s
xml:id
="
echoid-s4556
"
xml:space
="
preserve
">magnitudine, diverſa; </
s
>
<
s
xml:id
="
echoid-s4557
"
xml:space
="
preserve
">partim etiam
<
lb
/>
quia proprietates hujus ſubtilitate quoque illis non cedant, cujus vel hoc ar-
<
lb
/>
gumentum ſit, quod omnium tardiſſimè è tenebris eruta, in lucem ſit edita. </
s
>
<
s
xml:id
="
echoid-s4558
"
xml:space
="
preserve
">De-
<
lb
/>
nique cum ab ultimis uſque initiis tantæ certitudinis ſit, quantæ illæ pari jure
<
lb
/>
peculiaris quædam ars Liberalis Mathematica, & </
s
>
<
s
xml:id
="
echoid-s4559
"
xml:space
="
preserve
">propria quoque cenſebitur.</
s
>
<
s
xml:id
="
echoid-s4560
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4561
"
xml:space
="
preserve
">Objiciat autem quis, Geometricas figurationes in ipſius demonſtrationibus
<
lb
/>
non rarò adhiberi, ideoq́; </
s
>
<
s
xml:id
="
echoid-s4562
"
xml:space
="
preserve
">ejus eſſe quandam ſpeciem. </
s
>
<
s
xml:id
="
echoid-s4563
"
xml:space
="
preserve
">Reſpondeo idem Arith-
<
lb
/>
meticæ accidere; </
s
>
<
s
xml:id
="
echoid-s4564
"
xml:space
="
preserve
">etenim quæ habet theoremata quarum cognitio non penitus
<
lb
/>
ex ipſa Geometria ſit repetenda? </
s
>
<
s
xml:id
="
echoid-s4565
"
xml:space
="
preserve
">Imo ne Geometria quidem ipſa ſe abſq; </
s
>
<
s
xml:id
="
echoid-s4566
"
xml:space
="
preserve
">nu-
<
lb
/>
meris tuebitur, aut defendet. </
s
>
<
s
xml:id
="
echoid-s4567
"
xml:space
="
preserve
">Inſpice ſodes elementa Geometrica, quoties quæ-
<
lb
/>
ſo figura figuræ dupla, item tria plana duobus æquari dicuntur? </
s
>
<
s
xml:id
="
echoid-s4568
"
xml:space
="
preserve
">unde conſtat
<
lb
/>
propoſitiones Geometricas abſque numeris demonſtrari non poſſe, quamvis
<
lb
/>
artes inter ſe ſint diverſæ & </
s
>
<
s
xml:id
="
echoid-s4569
"
xml:space
="
preserve
">diſtinctæ; </
s
>
<
s
xml:id
="
echoid-s4570
"
xml:space
="
preserve
">atque eadem Staticæ doctrinæ ratio erit.</
s
>
<
s
xml:id
="
echoid-s4571
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s4572
"
xml:space
="
preserve
">Præterea Opticæ & </
s
>
<
s
xml:id
="
echoid-s4573
"
xml:space
="
preserve
">Catoptricæ, quæ non peculiares artes Mathematicæ ſed
<
lb
/>
Geometrici generis omnino cenſentur, alia eſt ratio, quam Staticæ, & </
s
>
<
s
xml:id
="
echoid-s4574
"
xml:space
="
preserve
">multùm
<
lb
/>
diſſimilis. </
s
>
<
s
xml:id
="
echoid-s4575
"
xml:space
="
preserve
">nam Staticæ materia ſeu ſubjectum quæ eſt gravitas, non ſecus quàm
<
lb
/>
magnitudo, & </
s
>
<
s
xml:id
="
echoid-s4576
"
xml:space
="
preserve
">numerus (quia omnia, ut eſt in veteri proverbio conſtant pon-
<
lb
/>
dere, numero, & </
s
>
<
s
xml:id
="
echoid-s4577
"
xml:space
="
preserve
">menſura) in qualibet ſubſtantia magno hominum commodo
<
lb
/>
deprehenduntur; </
s
>
<
s
xml:id
="
echoid-s4578
"
xml:space
="
preserve
">ſed ſuperiores iſtæ non item. </
s
>
<
s
xml:id
="
echoid-s4579
"
xml:space
="
preserve
">Quare ut diximus Statica me-
<
lb
/>
ritò liberalium Mathematicarum artium unafuerit.</
s
>
<
s
xml:id
="
echoid-s4580
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>