Bion, Nicolas
,
Traité de la construction et principaux usages des instruments de mathématique
,
1723
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1 - 30
31 - 60
61 - 90
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181 - 210
211 - 240
241 - 270
271 - 300
301 - 330
331 - 360
361 - 390
391 - 420
421 - 438
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USAGES DES PREMIERS
"/>
<
p
>
<
s
xml:id
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xml:space
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preserve
">Pour décrire un triangle Iſocele ſur la ligne AB, il ſaut ouvrir le
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-032-01
"
xlink:href
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note-032-01a
"
xml:space
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preserve
">Fig. 11.</
note
>
compas plus grand que toute la ligne, ou plus petit, & </
s
>
<
s
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xml:space
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preserve
">faire le reſte
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comme ci-devant.</
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>
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23
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<
head
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xml:space
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">USAGE XIII.</
head
>
<
head
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style
="
it
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xml:space
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">Faire un triangle égal & ſemblable à un autre triangle
<
lb
/>
propoſé.</
head
>
<
p
>
<
s
xml:id
="
echoid-s937
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xml:space
="
preserve
">SOit le triangle donné ABC, auquel il en faut faire un ſemblable
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-032-02
"
xlink:href
="
note-032-02a
"
xml:space
="
preserve
">Fig. 12.</
note
>
comme DEF.</
s
>
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</
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<
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>
<
s
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xml:space
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">Faites la ligne D E égale à AB; </
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>
<
s
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xml:space
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">du point D pour centre & </
s
>
<
s
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echoid-s941
"
xml:space
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">pour
<
lb
/>
<
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position
="
left
"
xlink:label
="
note-032-03
"
xlink:href
="
note-032-03a
"
xml:space
="
preserve
">Fig. 13.</
note
>
rayon A C décrivez un arc, du point E pour centre & </
s
>
<
s
xml:id
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"
xml:space
="
preserve
">pour rayon
<
lb
/>
B C décrivez un autre arc qui coupera le precedent au point F, tirez
<
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/>
les lignes DF, EF, & </
s
>
<
s
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="
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">le triangle ſera égal & </
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>
<
s
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xml:space
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">ſemblable au triangle
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/>
propoſé.</
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>
<
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xml:id
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xml:space
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"/>
</
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</
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>
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<
head
xml:id
="
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xml:space
="
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">USAGE XIV.</
head
>
<
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style
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xml:space
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">Sur une ligne donnée, faire un triangle ſemblable à un autre,
<
lb
/>
ſans qu'il lui ſoit égal.</
head
>
<
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>
<
s
xml:id
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xml:space
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">SOit la ligne donnée HI, ſur laquelle il faut faire un triangle ſem-
<
lb
/>
<
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position
="
left
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xlink:label
="
note-032-04
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xlink:href
="
note-032-04a
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xml:space
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">Fig. 14.
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& 15.</
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blable, mais non égal au triangle ABC.</
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</
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<
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<
s
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xml:space
="
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">Faites l'angle H égal à l'angle A, & </
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>
<
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xml:space
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">l'angle I égal à l'angle B; </
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>
<
s
xml:id
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xml:space
="
preserve
">tirez
<
lb
/>
les lignes HG, IG juſqu'à ce qu'elles ſe rencontrent, le triangle HIG
<
lb
/>
ſera le requis.</
s
>
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xml:space
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</
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<
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xml:space
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">USAGE XV.</
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<
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style
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">Faire un triangle de trois lignes droites égales à trois lignes
<
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données, dont les deux plus courtes priſes enſemble ſoient
<
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/>
plus longues que la troiſiéme.</
head
>
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>
<
s
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xml:space
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">SOient les trois lignes droites propoſées A, B, C. </
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>
<
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xml:space
="
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">Faites la ligne
<
lb
/>
<
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position
="
left
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xlink:label
="
note-032-05
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xlink:href
="
note-032-05a
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xml:space
="
preserve
">Fig. 16.</
note
>
droite D E égale à la ligne A, du point E pour centre & </
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>
<
s
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xml:space
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preserve
">pour
<
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/>
rayon la grandeur de la ligne B, décrivez une portion de cercle; </
s
>
<
s
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xml:space
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">pa-
<
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reillement de D comme centre, & </
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>
<
s
xml:id
="
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xml:space
="
preserve
">pour rayon la grandeur de la ligne
<
lb
/>
C, décrivez une autre portion de cercle, coupant la premiere au point
<
lb
/>
F, tirez les lignes droites FD, FE, & </
s
>
<
s
xml:id
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xml:space
="
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">le triangle DFE ſera le propoſé.</
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>
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</
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<
head
xml:id
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xml:space
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preserve
">USAGE XVI.</
head
>
<
head
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style
="
it
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xml:space
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">Sur une ligne droite donnée, décrire un quarré.</
head
>
<
p
>
<
s
xml:id
="
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xml:space
="
preserve
">SOit la ligne droite donnée AB, ſur laquelle il faut décrire un
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-032-06
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xlink:href
="
note-032-06a
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xml:space
="
preserve
">Fig. 17.</
note
>
quarré, dont AB ſoit un côté. </
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>
<
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">Du point A pour centre, & </
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