Bion, Nicolas
,
Traité de la construction et principaux usages des instruments de mathématique
,
1723
Text
Text Image
Image
XML
Thumbnail overview
Document information
None
Concordance
Notes
Handwritten
Figures
Content
Thumbnails
page
|<
<
(5)
of 438
>
>|
<
echo
version
="
1.0RC
">
<
text
xml:lang
="
fr
"
type
="
free
">
<
div
xml:id
="
echoid-div10
"
type
="
section
"
level
="
1
"
n
="
9
">
<
pb
o
="
5
"
file
="
019
"
n
="
19
"
rhead
="
DE GEOMETRIE.
"/>
<
p
>
<
s
xml:id
="
echoid-s439
"
xml:space
="
preserve
">Elle eſt de deux ſortes, ſçavoir plane & </
s
>
<
s
xml:id
="
echoid-s440
"
xml:space
="
preserve
">courbe.</
s
>
<
s
xml:id
="
echoid-s441
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s442
"
xml:space
="
preserve
">La ſurface plane ou droite eſt celle à laquelle une ligne droite ſe
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-019-01
"
xlink:href
="
note-019-01a
"
xml:space
="
preserve
">Fig. 19.</
note
>
peut appliquer de tout ſens, comme eſt, par exemple, le deſſus
<
lb
/>
d'une table bien unie.</
s
>
<
s
xml:id
="
echoid-s443
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s444
"
xml:space
="
preserve
">La ſurface courbe eſt celle à laquelle une ligne droite ne peut s'a-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-019-02
"
xlink:href
="
note-019-02a
"
xml:space
="
preserve
">Fig. 20.</
note
>
pliquer en tous ſens. </
s
>
<
s
xml:id
="
echoid-s445
"
xml:space
="
preserve
">Il y en a de concaves & </
s
>
<
s
xml:id
="
echoid-s446
"
xml:space
="
preserve
">de convexes. </
s
>
<
s
xml:id
="
echoid-s447
"
xml:space
="
preserve
">Le de-
<
lb
/>
dans d'une calote eſt une ſurface concave, & </
s
>
<
s
xml:id
="
echoid-s448
"
xml:space
="
preserve
">le deſſus eſt une ſur-
<
lb
/>
face convexe.</
s
>
<
s
xml:id
="
echoid-s449
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s450
"
xml:space
="
preserve
">Terme, eſt ce qui termine quelque choſe. </
s
>
<
s
xml:id
="
echoid-s451
"
xml:space
="
preserve
">Ainſi les points ſont
<
lb
/>
les termes de la ligne, les lignes ſont les termes des ſurfaces, & </
s
>
<
s
xml:id
="
echoid-s452
"
xml:space
="
preserve
">les
<
lb
/>
ſurfaces ſont les termes des corps.</
s
>
<
s
xml:id
="
echoid-s453
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s454
"
xml:space
="
preserve
">La figure eſt ce qui eſt terminé de tous côtez.</
s
>
<
s
xml:id
="
echoid-s455
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s456
"
xml:space
="
preserve
">Les figures terminées par un ſeul terme ſont les cercles & </
s
>
<
s
xml:id
="
echoid-s457
"
xml:space
="
preserve
">les
<
lb
/>
Ellipſes ou ovales, leſquelles ſont terminées par une ſeule ligne
<
lb
/>
courbe.</
s
>
<
s
xml:id
="
echoid-s458
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s459
"
xml:space
="
preserve
">Les figures terminées par pluſieurs termes ou lignes ſont le trian-
<
lb
/>
<
note
position
="
right
"
xlink:label
="
note-019-03
"
xlink:href
="
note-019-03a
"
xml:space
="
preserve
">Fig. 21.</
note
>
gle ou Trigone, qui a trois côtez & </
s
>
<
s
xml:id
="
echoid-s460
"
xml:space
="
preserve
">trois angles.</
s
>
<
s
xml:id
="
echoid-s461
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s462
"
xml:space
="
preserve
">Le quarré ou Tetragone qui en a quatre.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s463
"
xml:space
="
preserve
">
<
note
position
="
right
"
xlink:label
="
note-019-04
"
xlink:href
="
note-019-04a
"
xml:space
="
preserve
">Fig. 22.</
note
>
</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s464
"
xml:space
="
preserve
">Le Pentagone cinq.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s465
"
xml:space
="
preserve
">
<
note
position
="
right
"
xlink:label
="
note-019-05
"
xlink:href
="
note-019-05a
"
xml:space
="
preserve
">Fig. 23.</
note
>
</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s466
"
xml:space
="
preserve
">L'Exagone ſix.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s467
"
xml:space
="
preserve
">
<
note
position
="
right
"
xlink:label
="
note-019-06
"
xlink:href
="
note-019-06a
"
xml:space
="
preserve
">Fig. 24.</
note
>
</
s
>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s468
"
xml:space
="
preserve
">L'Eptagone ſept.</
s
>
<
s
xml:id
="
echoid-s469
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s470
"
xml:space
="
preserve
">L'Octogone huit.</
s
>
<
s
xml:id
="
echoid-s471
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s472
"
xml:space
="
preserve
">L'Enneagone neuf.</
s
>
<
s
xml:id
="
echoid-s473
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s474
"
xml:space
="
preserve
">Le Decagone dix.</
s
>
<
s
xml:id
="
echoid-s475
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s476
"
xml:space
="
preserve
">L'Endecagone onze.</
s
>
<
s
xml:id
="
echoid-s477
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s478
"
xml:space
="
preserve
">Et le Dodecagone douze.</
s
>
<
s
xml:id
="
echoid-s479
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s480
"
xml:space
="
preserve
">On parlera ci-après plus au long de ces Polygones, en traitant
<
lb
/>
de leur conſtruction.</
s
>
<
s
xml:id
="
echoid-s481
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s482
"
xml:space
="
preserve
">Toutes les ſuſdites figures, & </
s
>
<
s
xml:id
="
echoid-s483
"
xml:space
="
preserve
">celles qui ont encore plus de cô-
<
lb
/>
tez, ſe nomment auſſi Polygones, d'un mot general, qui ſignifie
<
lb
/>
figures de pluſieurs angles; </
s
>
<
s
xml:id
="
echoid-s484
"
xml:space
="
preserve
">& </
s
>
<
s
xml:id
="
echoid-s485
"
xml:space
="
preserve
">pour les diſtinguer, on ajoûte le nom-
<
lb
/>
bre des côtez, comme, par exemple, un Decagone ſe peut appel-
<
lb
/>
ler un Polygone de dix côtez, un Dodecagones'appelle auſſi un Po-
<
lb
/>
lygone de douze côtez, & </
s
>
<
s
xml:id
="
echoid-s486
"
xml:space
="
preserve
">ainſi des autres.</
s
>
<
s
xml:id
="
echoid-s487
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s488
"
xml:space
="
preserve
">Les figures dont les côtez & </
s
>
<
s
xml:id
="
echoid-s489
"
xml:space
="
preserve
">les angles ſont égaux, comme celles
<
lb
/>
ci-devant, ſe nomment Polygones reguliers.</
s
>
<
s
xml:id
="
echoid-s490
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s491
"
xml:space
="
preserve
">Celles dont les angles ou les côtez ſont inégaux, ſe nomment Po-
<
lb
/>
lygones irreguliers.</
s
>
<
s
xml:id
="
echoid-s492
"
xml:space
="
preserve
"/>
</
p
>
<
p
>
<
s
xml:id
="
echoid-s493
"
xml:space
="
preserve
">Les Triangles ſe diſtinguent, ou par leurs côtez, ou par leurs
<
lb
/>
angles.</
s
>
<
s
xml:id
="
echoid-s494
"
xml:space
="
preserve
"/>
</
p
>
</
div
>
</
text
>
</
echo
>