The name is absent

Rectilinear Drawing

f_a^arg(r sin ψ)dψ==O

Thus we infer that the integral last written vanishes identi-
cally in r. Now introduce the variable s=r sin ψ in this
integral. In this way we conclude that we must have

g(ʃ)^ʃ

This is a special case of a type of integral equation treated
by Abel to which we shall refer later. Let us solve it ex-
plicitly by his simple, direct method, of which the gen-
eralization is immediate. Multiply this integral through by
r∕V'p²-τ² where ʃ <r <p, and integrate as to r from 0 to p.
We obtain thus
dr = 0.

rg(ʃ)^ʃ

-r²)(r≡-J²)

Making a valid interchange of the order of integration (see
fig. 6) this becomes

fp / ∕^,p rdr ∖

J₀ ^gt'^s∖js √(p²-r²) (r²-J²)Λ≡⁰

Fig. 6

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