Bion, Nicolas
,
Traité de la construction et principaux usages des instruments de mathématique
,
1723
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rhead
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POUR L'ARTILLERIE Liv. V. Ch. IV.
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<
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<
s
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xml:space
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">Mais comme tous les nombres n'ont pas des racines juſtes on pour-
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lb
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ra ſe ſervir de la table des côtez homologues des ſolides ſemblables,
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rapportée ci-devant au Traité du Compas de Proportion; </
s
>
<
s
xml:id
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xml:space
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preserve
">ſi donc
<
lb
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par ce moyen on veut avoir le diametre d'un boulet de 64 1. </
s
>
<
s
xml:id
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xml:space
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">on for-
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lb
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mera une regle de 3, dont le premier terme ſera 397, côté du 4
<
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emph
>
ſo-
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lide; </
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>
<
s
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xml:space
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">le ſecond ſera 3 pouces ou plûtôt 36 lignes diametre du boulet
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de 4 1. </
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<
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xml:space
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">le 4
<
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terme ſera 1000, côté du 64
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>
ſolide; </
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>
<
s
xml:id
="
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xml:space
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preserve
">la regle étant
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lb
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achevée on aura 20 lig. </
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>
<
s
xml:id
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xml:space
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">& </
s
>
<
s
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xml:space
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">{1/4} pour le diametre d'un boulet de 64 1.
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lb
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</
s
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<
s
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xml:space
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">enſuite pour faciliter les operations des autres regles de 3, on pren-
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lb
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dra toûjours pour premier terme le nombre 1000, pour ſecond 60
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lig. </
s
>
<
s
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xml:space
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">{3/4}, & </
s
>
<
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xml:space
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">pour le 3
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le nombre qui ſe trouvera dans ladite table vis-
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à-vis celui qui exprime le poids du boulet: </
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<
s
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xml:space
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">ainſi pout trouver par
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exemple, le diametre d'un boulet de 24 liv. </
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<
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xml:space
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">on dira comme 1000
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ſont à 60 lignes {3/4}, ainſi 721. </
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<
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xml:space
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">La regle étant faite on trouvera 65
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lignes, qui font 5 pouces & </
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>
<
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xml:space
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">5 lignes; </
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<
s
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xml:space
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preserve
">c'eſt par cette méthode qu'on
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a calculé la Table ſuivante.</
s
>
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</
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</
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style
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xml:space
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">Table contenant les Poids & Diametres des Boulets de fer, & des Ca-
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libres des Pieces les plus en uſage dans l'Artillerie.</
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<
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### Poids \\ du Boulet. # ## Pouces. # # ## Lignes.
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### 1 quart de liv. # 1 # # # 2 # 1 quart.
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### une demie li. # 1 # # # 6 # 0
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### une livre # 1 # # # 10 # 5 huitiém.
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# 2 # # 2 # # # 4 # 1 demie.
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# 3 # # 2 # # # 8 # 2 tiers.
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# 4 # # 3 # # # 0 # 0
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# 5 # # 3 # Pouces. # Lignes. # 2 # 3 quarts.
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# 6 # # 3 # # # 5 # 0
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Livres. # 7 # # 3 # # # 7 # 1 quart.
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lb
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# 8 # Poids des Boulets. # 3 # # # 9 # 3 huitiém.
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lb
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# 9 # # 3 # # # 11 # 0
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lb
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# 10 # # 4 # # # 0 # 3 quarts:
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lb
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# 12 # # 4 # # # 3 # 3 quarts.
<
lb
/>
# 16 # # 4 # # # 9 # 0
<
lb
/>
# 18 # # 4 # # # 11 # 1 tiers.
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lb
/>
# 20 # # 5 # Pouces. # # 1 # 1 demie.
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lb
/>
# 24 # # 5 # # Lignes. # 5 # 0
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lb
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# 27 # # 5 # # 8 # 7 huitiém.
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lb
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Livres. # 30 # # 5 # # # 10 # 1 demie.
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lb
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# 33 # # 6 # # # 0 # 3 quarts.
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lb
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# 36 # # 6 # # # 2 # 3 quarts.
<
lb
/>
# 40 # # 6 # # # 5 # 1 demie.
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lb
/>
# 48 # # 6 # # # 10 # 0
<
lb
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# 50 # # 6 # # # 11 # 1 demie.
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lb
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# 64 # # 7 # # # 6 # 3 quarts.
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Calibres
<
lb
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des pieces. # Po. # Lignes.
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1 quart de liv. # 1 # 3 # 0
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lb
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une demie li. # 1 # 6 # 3 quarts.
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lb
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une livre # 1 # 11 # 6 huitiém.
<
lb
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2 # 2 # 5 # 3 quarts.
<
lb
/>
3 # 2 # 10 # 0
<
lb
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4 # 3 # 1 # 1 quart.
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lb
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5 # 3 # 4 # 1 quart.
<
lb
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6 # 3 # 6 # 7 huitiém.
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lb
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7 # 3 # 9 # 1 huitiém.
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lb
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8 # 3 # 11 # 1 huitiém.
<
lb
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9 # 4 # 1 # 1 quart.
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lb
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10 # 4 # 2 # 3 quarts.
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lb
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12 # 4 # 5 # 3 quarts.
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lb
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16 # 4 # 11 # 1 demie.
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lb
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18 # 5 # 1 # 2 tiers.
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lb
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20 # 5 # 4 # 0
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lb
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24 # 5 # 8 # 0
<
lb
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27 # 5 # 10 # 2 tiers.
<
lb
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30 # 6 # 1 # 1 tiers.
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lb
/>
33 # 6 # 3 # 1 demie.
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36 # 6 # 5 # 3 quarts.
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lb
/>
40 # 6 # 8 # 1 demie.
<
lb
/>
48 # 7 # 1 # 3 quarts.
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lb
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50 # 7 # 2 # 3 quarts.
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64 # 7 # 10 # 1 quart.
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