**Ml**, Longitudinal muscle.

A, Superior or aboral olfactory A, Superior or aboral olfactory **ML**, Marginal lappets.

Using the symbols of the diagram, it can be shown that the effect of placing the weight W at E instead of F is to cause the end of the beam to descend, as if under the action of an additional weight, w, at F such that w Wa(**ml** - l +tan 0)/h.

A short way down the Rhine is the Bingerloch, a famous whirlpool, while about halfway between it and the town rises on a rock in the middle of the stream the **Ml** useturm (derived from Muserie, cannon), in which, according to legend, Archbishop Hatto II.

M`L.; G.

The importance of the operator consists in the fact that taking any two operators of the system (I l, v; m, n); (Ill, v l : m l, n1), the operator equivalent to (I l, v; m, n) (111, v 1; **ml**, n1) - (i l l, v1; **ml**, n1) (/l, v; m, n), known as the " alternant " of the two operators, is also an operator of the same system.

Hence I = M/v = **ml**/v = m/a, v being the volume and a the sectional area.

Graphic representation thus rests on the principle that equal numerical quantities may be represented by equal lengths, and that a quantity mA may be represented by a length **mL**, where A and L are the respective units; and the science of graphics rests on the converse property that the quantity represented by pL is pA, i.e.

(iv) To find the volume of a prismoidal cutting with vertical ends, and with sides equally inclined to the vertical, so that 4 =0, let the value t of h, for the two ends be h, ?, and h2, 1k21 and write ml_ do 0 (a + h 1 cot 0), o 0 (a + hi cot 0), ot + h2 cot 0), n2 - o + cot B (a + h2 cot 0).

Then the deviation y= DE of the neutral axis of the bent beam at any point D from the axis OX is given by the relation d 2 y **Ml** dx 2 = EI' where M is the bending moment and I the amount of inertia of the beam at D, and E is the coefficient of elasticity.

This leads, by the principles of 8, to the equations ~(mx)=X, ~(mg.i) =Y,~(**ml**) =Z, I Z{m(yIzAi)}=L, ~(m(z~tx~i)} = M, ~(m(xpy~t)~ = N,

Of Mainz was in 969 eaten by mice (the legend being doubtless due to the erroneous derivation from **Ml** use, mice).