• Aucun résultat trouvé

cours 5 1.5 COURBURE

N/A
N/A
Protected

Academic year: 2022

Partager "cours 5 1.5 COURBURE"

Copied!
38
0
0

Texte intégral

(1)

cours 5

1.5 COURBURE

(2)

Au dernier cours, nous avons vu

Intégrale d’une fonction vectorielle La longueur d’une courbe

L’abscisse curviligne Repère de Frenet

(3)

Aujourd’hui, nous allons voir

Courbure

Le plan et le cercle osculateur Formule pour la courbure

(4)

Lors de notre exploration du repère de Frenet, on a vu

T~ (t) = ~r 0(t) k~r 0(t)k

<latexit sha1_base64="50P0nCDPJ8cZj1ErFIxKIvwL3lQ=">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</latexit><latexit sha1_base64="50P0nCDPJ8cZj1ErFIxKIvwL3lQ=">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</latexit><latexit sha1_base64="50P0nCDPJ8cZj1ErFIxKIvwL3lQ=">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</latexit><latexit sha1_base64="50P0nCDPJ8cZj1ErFIxKIvwL3lQ=">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</latexit>

N~ (t) = T~0(t) kT~0(t)k

<latexit sha1_base64="rxC/sFgXkiaPNbuZNY6deuhkN/8=">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</latexit><latexit sha1_base64="rxC/sFgXkiaPNbuZNY6deuhkN/8=">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</latexit><latexit sha1_base64="rxC/sFgXkiaPNbuZNY6deuhkN/8=">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</latexit><latexit sha1_base64="rxC/sFgXkiaPNbuZNY6deuhkN/8=">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</latexit>

B~ (t) = T~(t) ^ N~ (t)

<latexit sha1_base64="zBQH9qDvstgjdjeqgwH0N/vVxkU=">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</latexit><latexit sha1_base64="zBQH9qDvstgjdjeqgwH0N/vVxkU=">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</latexit><latexit sha1_base64="zBQH9qDvstgjdjeqgwH0N/vVxkU=">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</latexit><latexit sha1_base64="zBQH9qDvstgjdjeqgwH0N/vVxkU=">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</latexit>

On peut réécrire ces équations en terme de l’abscisse curviligne

(5)

Regardons de plus près

d

ds T~(s) = d

ds T~ (s) N~ (s)

<latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">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</latexit><latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">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</latexit><latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">AAADCnicjVHLSsNAFD2N73fVpZtgEXQjqQi6EUQRXImCrQUjkkyndTBNwsxEkNo/8E/cuRO3/oArUX9A/8I7Ywo+0QlJzpx7z5m594ZpJJT2vMeC09Pb1z8wODQ8Mjo2PlGcnKqqJJOMV1gSJbIWBopHIuYVLXTEa6nkQSuM+EF4umniB2dcKpHE+/o85UetoBmLhmCBJuq4uOU3ZMDadbfTrquOf8aZuz+vFtb8iDe0f/Fz1JeieWKihtgh4rhY8hY9u9zvoJyDEvK1mxQf4KOOBAwZWuCIoQlHCKDoOUQZHlLijtAmThISNs7RwTBpM8rilBEQe0rfJu0OczamvfFUVs3olIheSUoXc6RJKE8SNqe5Np5ZZ8P+5t22nuZu5/QPc68WsRonxP6l62b+V2dq0Whg1dYgqKbUMqY6lrtktivm5u6HqjQ5pMQZXKe4JMyssttn12qUrd30NrDxF5tpWLNneW6GV3NLGnD56zi/g+rSYpnw3nJpfSMf9SBmMIt5mucK1rGNXVTI+wr3eMKzc+lcOzfO7XuqU8g10/i0nLs3xRarQg==</latexit><latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">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</latexit>

T~ (s) = d

ds~r(s)

<latexit sha1_base64="0/jE7PAZj0zOwHrGfDP2bt+rays=">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</latexit><latexit sha1_base64="0/jE7PAZj0zOwHrGfDP2bt+rays=">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</latexit><latexit sha1_base64="0/jE7PAZj0zOwHrGfDP2bt+rays=">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</latexit><latexit sha1_base64="0/jE7PAZj0zOwHrGfDP2bt+rays=">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</latexit>

N~ (s) =

d

ds T~(s)

d

ds T~(s)

<latexit sha1_base64="sfQnGme65S3aZZBWRSO4AGgaXD8=">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</latexit><latexit sha1_base64="sfQnGme65S3aZZBWRSO4AGgaXD8=">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</latexit><latexit sha1_base64="sfQnGme65S3aZZBWRSO4AGgaXD8=">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</latexit><latexit sha1_base64="sfQnGme65S3aZZBWRSO4AGgaXD8=">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</latexit>

B~ (s) = T~(s) ^ N~ (s)

<latexit sha1_base64="9C1Nd+n+hCOjoJZJeJCSuso+gfA=">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</latexit><latexit sha1_base64="9C1Nd+n+hCOjoJZJeJCSuso+gfA=">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</latexit><latexit sha1_base64="9C1Nd+n+hCOjoJZJeJCSuso+gfA=">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</latexit><latexit sha1_base64="9C1Nd+n+hCOjoJZJeJCSuso+gfA=">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</latexit>

(6)

C<latexit sha1_base64="LdVHkxELOuJRz/5C1e4Dk/MIAVk=">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</latexit><latexit sha1_base64="LdVHkxELOuJRz/5C1e4Dk/MIAVk=">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</latexit><latexit sha1_base64="LdVHkxELOuJRz/5C1e4Dk/MIAVk=">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</latexit><latexit sha1_base64="LdVHkxELOuJRz/5C1e4Dk/MIAVk=">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</latexit> 1 C<latexit sha1_base64="VspkTx0pCb8o3hhE9YTNj9+qj+g=">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</latexit><latexit sha1_base64="VspkTx0pCb8o3hhE9YTNj9+qj+g=">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</latexit><latexit sha1_base64="VspkTx0pCb8o3hhE9YTNj9+qj+g=">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</latexit><latexit sha1_base64="VspkTx0pCb8o3hhE9YTNj9+qj+g=">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</latexit> 2

T~ (a)

<latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">AAACzHicjVHLSsNAFD2Nr1pfVZdugkWom5KIoMuiG1dSoS9pi0ym0xqaF8mkUEq3/oBb/S7xD/QvvDOmoBbRCUnOnHvPmbn3OpHnJtKyXnPG0vLK6lp+vbCxubW9U9zdayZhGnPR4KEXxm2HJcJzA9GQrvREO4oF8x1PtJzRpYq3xiJO3DCoy0kkej4bBu7A5UwSddsdC27Wy+z4rliyKpZe5iKwM1BCtmph8QVd9BGCI4UPgQCSsAeGhJ4ObFiIiOthSlxMyNVxgRkKpE0pS1AGI3ZE3yHtOhkb0F55JlrN6RSP3piUJo5IE1JeTFidZup4qp0V+5v3VHuqu03o72RePrES98T+pZtn/lenapEY4FzX4FJNkWZUdTxzSXVX1M3NL1VJcoiIU7hP8Zgw18p5n02tSXTtqrdMx990pmLVnme5Kd7VLWnA9s9xLoLmScUmfHNaql5ko87jAIco0zzPUMUVamiQt49HPOHZuDakMTVmn6lGLtPs49syHj4AEVOSFQ==</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit>

T~(a + h)

<latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">AAACznicjVHLSsNAFD2Nr1pfVZdugkWoCCURQZdFNy4r9AVtkWQ6bYN5MZkUSilu/QG3+lniH+hfeGdMQS2iE5KcOfecO3PvdWPfS6RlveaMpeWV1bX8emFjc2t7p7i710yiVDDeYJEfibbrJNz3Qt6QnvR5OxbcCVyft9y7KxVvjblIvCisy0nMe4EzDL2BxxxJVKc75sysl52T0fFtsWRVLL3MRWBnoIRs1aLiC7roIwJDigAcISRhHw4SejqwYSEmrocpcYKQp+McMxTIm5KKk8Ih9o6+Q9p1MjakvcqZaDejU3x6BTlNHJEnIp0grE4zdTzVmRX7W+6pzqnuNqG/m+UKiJUYEfuXb678r0/VIjHAha7Bo5pizajqWJYl1V1RNze/VCUpQ0ycwn2KC8JMO+d9NrUn0bWr3jo6/qaVilV7lmlTvKtb0oDtn+NcBM3Tik345qxUvcxGnccBDlGmeZ6jimvU0NAdf8QTno2aMTZmxv2n1Mhlnn18W8bDB8AQkrw=</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit>

T~ (a)

<latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit>

T~ (a + h)

<latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit>

T~ 0(a) = lim

h!0

T~ (a + h) T~(a) h

<latexit sha1_base64="h0HyAOz3ODEFaGjnnYjicsALVjA=">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</latexit><latexit sha1_base64="h0HyAOz3ODEFaGjnnYjicsALVjA=">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</latexit><latexit sha1_base64="h0HyAOz3ODEFaGjnnYjicsALVjA=">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</latexit><latexit sha1_base64="h0HyAOz3ODEFaGjnnYjicsALVjA=">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</latexit>

d

ds T~ (s) = d

ds T~(s) N~ (s)

<latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">AAADCnicjVHLSsNAFD2N73fVpZtgEXQjqQi6EUQRXImCrQUjkkyndTBNwsxEkNo/8E/cuRO3/oArUX9A/8I7Ywo+0QlJzpx7z5m594ZpJJT2vMeC09Pb1z8wODQ8Mjo2PlGcnKqqJJOMV1gSJbIWBopHIuYVLXTEa6nkQSuM+EF4umniB2dcKpHE+/o85UetoBmLhmCBJuq4uOU3ZMDadbfTrquOf8aZuz+vFtb8iDe0f/Fz1JeieWKihtgh4rhY8hY9u9zvoJyDEvK1mxQf4KOOBAwZWuCIoQlHCKDoOUQZHlLijtAmThISNs7RwTBpM8rilBEQe0rfJu0OczamvfFUVs3olIheSUoXc6RJKE8SNqe5Np5ZZ8P+5t22nuZu5/QPc68WsRonxP6l62b+V2dq0Whg1dYgqKbUMqY6lrtktivm5u6HqjQ5pMQZXKe4JMyssttn12qUrd30NrDxF5tpWLNneW6GV3NLGnD56zi/g+rSYpnw3nJpfSMf9SBmMIt5mucK1rGNXVTI+wr3eMKzc+lcOzfO7XuqU8g10/i0nLs3xRarQg==</latexit><latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">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</latexit><latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">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</latexit><latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">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</latexit>

(7)

C<latexit sha1_base64="LdVHkxELOuJRz/5C1e4Dk/MIAVk=">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</latexit><latexit sha1_base64="LdVHkxELOuJRz/5C1e4Dk/MIAVk=">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</latexit><latexit sha1_base64="LdVHkxELOuJRz/5C1e4Dk/MIAVk=">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</latexit><latexit sha1_base64="LdVHkxELOuJRz/5C1e4Dk/MIAVk=">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</latexit> 1 C<latexit sha1_base64="VspkTx0pCb8o3hhE9YTNj9+qj+g=">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</latexit><latexit sha1_base64="VspkTx0pCb8o3hhE9YTNj9+qj+g=">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</latexit><latexit sha1_base64="VspkTx0pCb8o3hhE9YTNj9+qj+g=">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</latexit><latexit sha1_base64="VspkTx0pCb8o3hhE9YTNj9+qj+g=">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</latexit> 2

T<latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit> ~(a) T~(a + h)

<latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">AAACznicjVHLSsNAFD2Nr1pfVZdugkWoCCURQZdFNy4r9AVtkWQ6bYN5MZkUSilu/QG3+lniH+hfeGdMQS2iE5KcOfecO3PvdWPfS6RlveaMpeWV1bX8emFjc2t7p7i710yiVDDeYJEfibbrJNz3Qt6QnvR5OxbcCVyft9y7KxVvjblIvCisy0nMe4EzDL2BxxxJVKc75sysl52T0fFtsWRVLL3MRWBnoIRs1aLiC7roIwJDigAcISRhHw4SejqwYSEmrocpcYKQp+McMxTIm5KKk8Ih9o6+Q9p1MjakvcqZaDejU3x6BTlNHJEnIp0grE4zdTzVmRX7W+6pzqnuNqG/m+UKiJUYEfuXb678r0/VIjHAha7Bo5pizajqWJYl1V1RNze/VCUpQ0ycwn2KC8JMO+d9NrUn0bWr3jo6/qaVilV7lmlTvKtb0oDtn+NcBM3Tik345qxUvcxGnccBDlGmeZ6jimvU0NAdf8QTno2aMTZmxv2n1Mhlnn18W8bDB8AQkrw=</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit>

T<latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit><latexit sha1_base64="P59DwNW3nw2oM8p9cF5oJIfii6M=">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</latexit> ~(a)

T~ (a + h)

<latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit><latexit sha1_base64="8Y3BJGNiY8sL/Jntkt4WMwK2OBY=">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</latexit>

T~0(a) = lim

h!0

T~(a + h) T~ (a) h

<latexit sha1_base64="h0HyAOz3ODEFaGjnnYjicsALVjA=">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</latexit><latexit sha1_base64="h0HyAOz3ODEFaGjnnYjicsALVjA=">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</latexit><latexit sha1_base64="h0HyAOz3ODEFaGjnnYjicsALVjA=">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</latexit><latexit sha1_base64="h0HyAOz3ODEFaGjnnYjicsALVjA=">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</latexit>

T~ (a + h) T~ (a)

<latexit sha1_base64="eaMFSiri7nWK6Xldwg5nhEjzfSM=">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</latexit><latexit sha1_base64="eaMFSiri7nWK6Xldwg5nhEjzfSM=">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</latexit><latexit sha1_base64="eaMFSiri7nWK6Xldwg5nhEjzfSM=">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</latexit><latexit sha1_base64="eaMFSiri7nWK6Xldwg5nhEjzfSM=">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</latexit> ~T (a + h) ~T (a)<latexit sha1_base64="eaMFSiri7nWK6Xldwg5nhEjzfSM=">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</latexit><latexit sha1_base64="eaMFSiri7nWK6Xldwg5nhEjzfSM=">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</latexit><latexit sha1_base64="eaMFSiri7nWK6Xldwg5nhEjzfSM=">AAAC2nicjVHLSsNAFD2Nr1pfVXHlJliEFrGkIuiy6MZlhb6gLSWZTtvQvEgmhVLcuBO3/oBb/SDxD/QvvDOmoBbRCUnOnHvPmbn3WoFjR8IwXlPawuLS8kp6NbO2vrG5ld3eqUd+HDJeY77jh03LjLhje7wmbOHwZhBy07Uc3rBGlzLeGPMwsn2vKiYB77jmwLP7NjMFUd3sXnvMmV7Nm0fDwvEMF7rZnFE01NLnQSkBOSSr4mdf0EYPPhhiuODwIAg7MBHR00IJBgLiOpgSFxKyVZzjBhnSxpTFKcMkdkTfAe1aCevRXnpGSs3oFIfekJQ6DknjU15IWJ6mq3isnCX7m/dUecq7TehvJV4usQJDYv/SzTL/q5O1CPRxrmqwqaZAMbI6lrjEqivy5vqXqgQ5BMRJ3KN4SJgp5azPutJEqnbZW1PF31SmZOWeJbkx3uUtacCln+OcB/WTYonw9WmufJGMOo19HCBP8zxDGVeooEbeUzziCc9aW7vV7rT7z1QtlWh28W1pDx/wk5Y+</latexit><latexit sha1_base64="eaMFSiri7nWK6Xldwg5nhEjzfSM=">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</latexit>

d

ds T~ (s) = d

ds T~(s) N~ (s)

<latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">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</latexit><latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">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</latexit><latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">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</latexit><latexit sha1_base64="Cu9p3LNFyhBhrqFasnzwPX5B0Ug=">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</latexit>

Plus le vecteur change de direction, plus sera grande.T~ (s)

<latexit sha1_base64="lB1HALdhIY3lACNX2elPywa/+PU=">AAACzHicjVHLSsNAFD2Nr1pfVZdugkWom5KIoMuiG1dSoS9piyTTaQ3Ni2RSKKVbf8Ctfpf4B/oX3hmnoBbRCUnOnHvPmbn3urHvpcKyXnPG0vLK6lp+vbCxubW9U9zda6ZRljDeYJEfJW3XSbnvhbwhPOHzdpxwJ3B93nJHlzLeGvMk9aKwLiYx7wXOMPQGHnMEUbfdMWdmvZwe3xVLVsVSy1wEtgYl6FWLii/ooo8IDBkCcIQQhH04SOnpwIaFmLgepsQlhDwV55ihQNqMsjhlOMSO6DukXUezIe2lZ6rUjE7x6U1IaeKINBHlJYTlaaaKZ8pZsr95T5WnvNuE/q72CogVuCf2L9088786WYvAAOeqBo9qihUjq2PaJVNdkTc3v1QlyCEmTuI+xRPCTCnnfTaVJlW1y946Kv6mMiUr90znZniXt6QB2z/HuQiaJxWb8M1pqXqhR53HAQ5RpnmeoYor1NAg7wCPeMKzcW0IY2rMPlONnNbs49syHj4APCWSJw==</latexit><latexit sha1_base64="lB1HALdhIY3lACNX2elPywa/+PU=">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</latexit><latexit sha1_base64="lB1HALdhIY3lACNX2elPywa/+PU=">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</latexit><latexit sha1_base64="lB1HALdhIY3lACNX2elPywa/+PU=">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</latexit> k ~T 0(s)k<latexit sha1_base64="VO6qhm3D5XHK7T3CQ6tm8iBFlBk=">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</latexit><latexit sha1_base64="VO6qhm3D5XHK7T3CQ6tm8iBFlBk=">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</latexit><latexit sha1_base64="VO6qhm3D5XHK7T3CQ6tm8iBFlBk=">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</latexit><latexit sha1_base64="VO6qhm3D5XHK7T3CQ6tm8iBFlBk=">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</latexit>

(8)

Définition

C’est ce qui motive la définition suivante.

La courbure de cette courbe est Soit <latexit sha1_base64="vUuCZzEE+JSXVnIfEswQ6r3SBr8=">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</latexit><latexit sha1_base64="vUuCZzEE+JSXVnIfEswQ6r3SBr8=">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</latexit><latexit sha1_base64="vUuCZzEE+JSXVnIfEswQ6r3SBr8=">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</latexit><latexit sha1_base64="vUuCZzEE+JSXVnIfEswQ6r3SBr8=">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</latexit>C une courbe, et ~r(s)

<latexit sha1_base64="U0OwdyVuFi2wTSbDjJQxiVpbKfs=">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</latexit><latexit sha1_base64="U0OwdyVuFi2wTSbDjJQxiVpbKfs=">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</latexit><latexit sha1_base64="U0OwdyVuFi2wTSbDjJQxiVpbKfs=">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</latexit><latexit sha1_base64="U0OwdyVuFi2wTSbDjJQxiVpbKfs=">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</latexit> une paramétrisation selon l’abscisse curviligne.

 = dT~ ds

<latexit sha1_base64="NO1uGhkNNhkO+q5xdtLiwYGgtDg=">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</latexit><latexit sha1_base64="NO1uGhkNNhkO+q5xdtLiwYGgtDg=">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</latexit><latexit sha1_base64="NO1uGhkNNhkO+q5xdtLiwYGgtDg=">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</latexit><latexit sha1_base64="NO1uGhkNNhkO+q5xdtLiwYGgtDg=">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</latexit>

Références

Documents relatifs

1) Los artículos se remitirán por cuadruplicado a Enseñanza de las Ciencias, Institut de Ciències de l’Educació, Edifici A, Universitat Autònoma de Bar- celona, 08193

Commençons d’abord par le cas d’une double césure et supposons que nous dé- sirons multiplier deux polynômes P et Q de degrés &lt; n = 3N... Le contexte initial de cette

A partir du 1er octobre 2019 jusqu'au 15 octobre 2019 au plus tard, des demandes de réinscriptions tardives peuvent être soumises à l'autorisation dérogatoire du Recteur..

L'avantage de créer un Keygen sous DOS est qu'on ne doit pas se soucier de la mise en page et de l'affichage dans une fenêtre et que donc on peut se concentrer sur l'algorithme (

[r]

• Uniformité dans les cycles de développement : cycle digénétique avec sporophyte initialement parasite du gamétophyte. • Chlorophylles a et b masquent

 Rebbouh.Amar, « Statistique descriptive calcul de probabilités Et variables aléatoires avec rappels de cours et problèmes corrigés », Editions houma, 2 ème édition, 2009.. 

3) Quelles sont alors les expressions des deux principes au niveau macroscopique ? On définira toutes les notations utilisées. 4) Donner une expression du