The process carrying the otolith outer side of a or concretion **hk**, formed by endoderm cells, is tentacle, two enclosed by an upgrowth forming the " vesicle," nerves run round which is not yet quite closed in at the top. the base of the (After Hertwig.) tentacle to it.

In this case **HK** = 2X 1 =1, and the frequency is n i = U/X 1 = U/2l.

Also mn/mf = **hk**/kf 'or' mn-W (l-x)/l, which is the reaction at A due to the load at C, and is the shear at any point of AC. Similarly, po is the reaction at B and shear at any point of CB.

Then qr/ro = **hk**/hg or ro =W (l-x-a)/l, which is the reaction at A and shear at any point of AD, for the new position of the load.

On the assumption of uniform pressure up the bore, practically realizable in a Zalinski pneumatic dynamite gun, the pressure-curve would be the straight line **HK** of fig.

II) whose centre is 0, AC its chord, and **HK** the tangent drawn at the middle point of the arc and bounded by OA, OC produced, then, according to Archimedes, AMC< **HK**, but > AC. In modern trigonometrical notation the propositions to be compared stand as follows: 2 tan 20 >2 sin 28 (Archimedes); tan 10+2 sin 3B>0> 3 sin B (Snell).

**HK**, KL to represent P, Q, the force R is represented by the ~ ~-~

-, **HK** be vectors representing the given forces, the resultant will be given by AK.

Hence **HK** must be parallel to 00.

The triangles OAB, RHK are similar, and if the perpendiculars OM, RN be drawn we have **HK** .OM~rAB.

Since two concurrent forces and their resultant obviously project into two concurrent forces and their resultant, we see that the sum of the moments of two concurrent forces about any axis **HK** is equal to the moment of their resultant.

Draw Pill normal to the plane zOx, and **HK** perpendicular to Oz.

P the moment of the first par- / tide is represented on a cer n / tam scale by **HK**, that of the second by KL, and so on.

(**HK**, 1900); Bertholet, Leviticus (KHC, 1901).