Bion, Nicolas
,
Traité de la construction et principaux usages des instruments de mathématique
,
1723
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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 - 200
201 - 210
211 - 220
221 - 230
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PRINCIPES DE GEOMETRIE.
"/>
laires, ſe rencontrans en un même point, & </
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<
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">ayant un Polygone
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pour baſe.</
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<
s
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</
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<
p
>
<
s
xml:id
="
echoid-s598
"
xml:space
="
preserve
">Cone eſt une eſpece de piramide qui a un cercle pour baſe. </
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>
<
s
xml:id
="
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xml:space
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">Il eſt
<
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/>
<
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position
="
left
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xlink:label
="
note-022-01
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xlink:href
="
note-022-01a
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xml:space
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preserve
">Fig. 15.</
note
>
fait par le mouvement entier d'un triangle rectangle; </
s
>
<
s
xml:id
="
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xml:space
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">à l'entour de
<
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l'un des côtez qui forme l'angle droit, lcquel côté eſt l'Axe du
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Cone droit.</
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>
<
s
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="
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</
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<
p
>
<
s
xml:id
="
echoid-s602
"
xml:space
="
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">Cylindre eſt un ſolide qui a deux cercles pour baſes: </
s
>
<
s
xml:id
="
echoid-s603
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xml:space
="
preserve
">il eſt fait par
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-022-02
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xlink:href
="
note-022-02a
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xml:space
="
preserve
">Fig. 16.</
note
>
le mouvement circulaire d'un Parallelogramme à l'entour d'un de
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ſes côtez, lequel ſe nomme Axe du Cylindre.</
s
>
<
s
xml:id
="
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xml:space
="
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"/>
</
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<
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>
<
s
xml:id
="
echoid-s605
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xml:space
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">Priſme eſt un ſolide, qui a pourbaſes deux plans paralleles, ſem-
<
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/>
<
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position
="
left
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xlink:label
="
note-022-03
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xlink:href
="
note-022-03a
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xml:space
="
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">Fig. 17.</
note
>
blables & </
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>
<
s
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xml:space
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">égaux; </
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>
<
s
xml:id
="
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xml:space
="
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">quand ces deux plans paralleles ſont des trian-
<
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/>
gles, il ſe nomme Priſme triangulaire.</
s
>
<
s
xml:id
="
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="
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"/>
</
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>
<
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>
<
s
xml:id
="
echoid-s609
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xml:space
="
preserve
">Quand les deux baſes du Priſme font des Parallelogrammes, il
<
lb
/>
<
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position
="
left
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xlink:label
="
note-022-04
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xlink:href
="
note-022-04a
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xml:space
="
preserve
">Fig. 18.</
note
>
ſe nomme Parallelipipede.</
s
>
<
s
xml:id
="
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</
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<
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<
s
xml:id
="
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xml:space
="
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">Si les côtez de ces corps ſont perpendiculaires à la baſe, on les
<
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/>
appelle droits ou iſoceles.</
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>
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</
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<
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<
s
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="
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xml:space
="
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">S'ils ſont inclinez, on les appelle Obliques ou Scalenes.</
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>
<
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</
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<
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<
s
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xml:space
="
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">Corps regulier eſt celui qui eſt compris de figures regulieres & </
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égales, & </
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">duquel tous les angles ſolides ſont égaux.</
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</
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<
s
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xml:space
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">Angle ſolide eſt la rencontre de pluſieurs plans qui aboutiſſent
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en un point, comme eſt, par exemple, la pointe d'un diamant.</
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</
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<
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<
s
xml:id
="
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xml:space
="
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">Il faut au moins trois plans pour faire un angle ſolide.</
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<
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</
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<
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<
s
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xml:space
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">Il y a cinq ſortes de corps reguliers repreſentez dans la même
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planche avec leurs developemens; </
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</
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<
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<
s
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xml:space
="
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">Le Tétraedre compris ſous quatre triangles égaux & </
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<
s
xml:id
="
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xml:space
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">Equilate-
<
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/>
<
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position
="
left
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xlink:label
="
note-022-05
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xlink:href
="
note-022-05a
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xml:space
="
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">Fig. 19.</
note
>
raux; </
s
>
<
s
xml:id
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xml:space
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">c'eſt un piramide triangulaire qui a ſa baſe égale à ſes faces.</
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</
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<
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<
s
xml:id
="
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xml:space
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">L'Hexaedre ou Cube compris de ſix quarrez égaux.
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</
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<
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xml:space
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<
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xlink:label
="
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xlink:href
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xml:space
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">Fig. 20.</
note
>
</
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</
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<
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<
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xml:space
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">L'Octaedre compris ſous huit triangles égaux & </
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<
s
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">équilateraux.
<
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</
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<
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<
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position
="
left
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xlink:label
="
note-022-07
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xlink:href
="
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xml:space
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">Fig. 21.</
note
>
</
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</
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<
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<
s
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">Le Dodécaedre terminé de douze Pentagones égaux & </
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>
<
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xml:space
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">équila-
<
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<
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xlink:label
="
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="
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">Fig. 22.</
note
>
teraux.</
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<
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</
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<
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<
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">L'lcoſaedre compris & </
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<
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">terminé par vingt triangles égaux & </
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<
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">é-
<
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<
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xlink:label
="
note-022-09
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xlink:href
="
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xml:space
="
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">Fig. 23.</
note
>
quilateraux.</
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>
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</
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<
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<
s
xml:id
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xml:space
="
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">Les developemens marquez à côté de ces cinq corps reguliers
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font voir la maniere de les tracer ſur du cuivre ou carton, afin de
<
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les découper, & </
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>
<
s
xml:id
="
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xml:space
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">enſuite les rejoindre pour en former leſdits corps.</
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<
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</
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<
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<
s
xml:id
="
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xml:space
="
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">Tous les autres Solides ſe peuvent appeller du nom general Po-
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liedres, qui ſignifie corps terminez de pluſieurs ſurfaces.</
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</
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<
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<
s
xml:id
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xml:space
="
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">Si dans la ſuite de ce diſcours, il ſe trouve quelque choſe dont
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la définition ne ſoit pas ici compriſe, il ſera défini & </
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<
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ſon lieu.</
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