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

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**TXT** & **EPUB** are a [DeepL](https://www.deepl.com/translator.html) Pro [NMT](https://www.deeplearningbook.org/contents/applications.html#pf1f) machine **English translation**.PDF is a high-quality scan of * Pierre Duhem, “[Introduction mathématique à l’électrodynamique](https://archive.org/stream/leonssurllec03duheuoft/BISZHT262474591#page/n5/mode/2up),” in *Leçons sur l’électricité et le magnétisme* , vol. 3, 3 vols. (Paris : Gauthier-Villars et fils, 1892), 1–66 (which is lifted almost textually from the first section of C. Neumann's [*Die elektrischen Kräfte*](https://isidore.co/calibre/#panel=book_details&book_id=6749) vol. 2) and * " *Appendice au Livre XIV: Sur la loi d’Ampère* " (pp. 309-332).(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](https://isidore.co/misc/Physics%20papers%20and%20books/Zotero/storage/3AZVAT3Z/ajp-jphystap_1886_5_26_1.pdf).” *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