Page:A Treatise on Electricity and Magnetism - Volume 1.djvu/55

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17.] NKỌTA IKE NA IKE. 15

nwere ike ịrụ ọrụ na ntụziaka ahụ.  Na eletriki na magnetik
a na-akọwapụta nyocha ihe nwere ike ime ka ike ya pụta
n'akụkụ ọ bụla a na-atụ ya site na mbelata nke nwere ike ịbanye
uzo ahu.  Usoro a nke iji okwu na-eme ya
kwenye na akara na ike nwere ike, nke na-ebelata mgbe niile
mgbe a na-emegharị ahụ na ntụziaka nke ndị agha na-eme ihe
na ha.
17.] Ọdịdị geometrical nke mmekọrịta dị n'etiti poten
tial na vector si otú a na-enweta site na ya na-enweta nnukwu ìhè
Nchọpụta Hamilton nke ụdị onye ọrụ nke vector
a na-enweta site na ike.
Akụkụ edoziziri nke vector n'akụkụ ọ bụla bụ, dịka anyị nwere
hụrụ, nke mbụ ewepụtara nke nwere ike na-akwanyere a co
ordinate dọtara na ntụziaka ahụ, akara na-atụgharị.
Ugbu a ọ bụrụ na m t /, k bụ atọ unit vectors na nri akụkụ nke ọ bụla
ndị ọzọ, ma ọ bụrụ na X, Y, Z bụ akụkụ nke vector 5 kpebiri
yiri vectors ndị a, mgbe ahụ
9 = IX+jY+kZ;  (1)
na site n'ihe anyị kwuru n'elu, ọ bụrụ na ^ bụ ike,
Ọ bụrụ na anyị dee V ugbu a maka onye ọrụ,
(4)
Enwere ike ịkọwa akara nke ọrụ V ka ọ na-eduzi anyị
iji tụọ, na nke ọ bụla n'ime atọ akụkụ anọ ntụziaka, ọnụego nke
mmụba nke &, na mgbe ahụ, na-atụle ọnụọgụgụ wee chọta dị ka
vectors, iji mee ka ha bụrụ otu.  Nke a bụ ihe a na-eduzi
ime site na okwu (3).  Ma anyị nwekwara ike were ya dị ka onye nduzi
anyị na-ebu ụzọ chọpụta na ntụziaka ^ na-abawanye ngwa ngwa, na mgbe ahụ
ịtọhapụ n'akụkụ ahụ vector na-anọchite anya ọnụego a
mụbaa.
M. Lame, na Traite des Fonctions Inverses, ji okwu a
Parameter dị iche iche iji gosipụta ịdị ukwuu nke nke a kacha ukwuu
ọnụego mmụba, ma ọ bụghị okwu n'onwe ya, ma ọ bụ ọnọdụ nke Ngwurọ na-eji ya, na-egosi na ọnụ ọgụgụ a na-ekwu maka ya nwere ntụziaka yana ịdị ukwuu.  N'oge ndị ahụ na-adịghị ahụkebe nke m ga-enwe
iji zoo aka na njikọ a dị ka naanị geometrical, m ga-akpọ ya
vector g mkpọda ọrụ scalar ^, na-eji okwu Slope