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Leçons sur l'électricité et le magnétisme (vol. 3): Les courants linéaires

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TXT & EPUB are a DeepL Pro NMT machine English translation.

PDF is a high-quality scan of

(ch. 1 with legible figures, unlike in the PDF here), which is is a very good mathematical treatment of what pertains to Ampère's force law (esp. the first §).

p. 45, eq. 6 is Ampère's theorem.

pp. 309-332 (DjVu pp. 322-345) is Duhem's elegant, deductive derivation of Ampère's force law, which "différe extrèmement " from Duhem's energetics presentation, the rationale for which Duhem explained in book 14, ch. 5 (of this vol., 3), p. 229 f. (DjVu p. 244 f.).


cf. also Duhem, P. “Sur La Loi d’Ampère.” J. Phys. Theor. Appl. 5, no. 1 (1886): 26–29, which is cited in Ampère, Assis, & Chaib 2015 (p. 261 fn 17):

It should be emphasized that Ampère’s force between two current elements is the only force acting along the straight line connecting these elements which yields also Ampère’s integrated force exerted by a closed circuit of arbitrary form acting on another current element.17


*generated with:

pdf2djvu -o out.djvu -d 96 --loss-level=200 --monochrome -j4 -p 7-72 BISZHT262474591_text.pdf