## A Treatise on Electricity and Magnetism, Volume 1 |

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### Common terms and phrases

action angles axes axis called closed curve closed surface coefficients of potential components conductor consider constant corresponding cosines cylinder denote dielectric differential diminished direction disk distribution of electricity drawn ductor dx dy dz elec electric displacement electric energy electric force electrified bodies electrified point electromotive force electromotive intensity element equipotential surfaces expressed Faraday finite fluid function Green's Theorem Hence homogeneous function images infinite distance insulated integral intersection inverse Laplace's equation line-integral lines of force magnetic mathematical measured medium method negative normal particles phenomena placed plane polarization positive electricity potential due potential zero produce quantity of electricity Quaternions radius region respect resultant force shewn side solenoidal solid harmonic space specific inductive capacity sphere spherical harmonics spherical surface stress suffixes suppose surface harmonic surface-density surface-integral theory Thomson tricity unit of electricity unity vector vessel volume-integral wire zonal harmonic

### Popular passages

Page ix - As I proceeded with the study of Faraday, I perceived that his method of conceiving the phenomena was also a mathematical one, though not exhibited in the conventional form of mathematical symbols.

Page 166 - I have not been able to make the next step, namely, to account by mechanical considerations for these stresses in the dielectric.

Page 430 - Remembering that the joint resistance of two (or more) circuits in parallel is the reciprocal of the sum of the reciprocals of the resistances of the several branches, we have: Fig.

Page viii - One reason of this is that before I began the study of electricity I resolved to read no mathematics on the subject till I had first read through Faraday's Experimental Researches in Electricity. I was aware that there was supposed to be a difference between Faraday's way of conceiving phenomena and that of the mathematicians, so that neither he nor they were satisfied with each other's language. I had also the conviction that this discrepancy did not arise from...

Page 406 - ... in a direction opposite to the motion of the hands of a watch.

Page 381 - It is extremely improbable however that when we come to understand the true nature of electrolysis we shall retain in any form the theory of molecular charges, for then we shall have obtained a secure basis on which to form a true theory of electric currents, and so become independent of those provisional theories.

Page 164 - Induction appears to consist in a certain polarized state of the particles, into which they are thrown by the electrified body sustaining the action, the particles assuming positive and negative points or parts, which are symmetrically arranged with respect to each other and the inducting surfaces or particles*.

Page 61 - These and many other phenomena of electrical discharge are exceedingly important, and when they are better understood they will probably throw great light on the nature of electricity as well as on the nature of gases and of the medium pervading space.

Page 3 - ... in vacuum of a particular kind of light, emitted by some widely diffused substance such as sodium, which has well-defined lines in its spectrum. Such a standard would be independent of any changes in the dimensions of the earth, and should be adopted by those who expect their writings to be more permanent than that body.

Page viii - Electricity. I was aware that there was supposed to be a difference between Faraday's way of conceiving phenomena and that of the mathematicians, so that neither he nor they were satisfied with each other's language. I hald also the conviction that this discrepancy did not arise from either party being wrong.