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obtained by taking the qth root of I + p (1) x+ p (2) x 2 + ..., is an infinite series, i.e.

+Amvm, the qth moment of the trapezette is Aoxo 4 uo+Xix1 4 ui+ ...

y where K-=4, X qth moment with regard to plane y =o, Lm yn X pth moment with regard to plane x =o, and R is the volume of a briquette whose ordinate at (x,.,y s) is found by multiplying by pq x r P - 1 ys 4-1 the volume of that portion of the original briquette which lies between the planes x =xo, y =yo, y = ys.

Gergonne had shown that when a number of the intersections of two curves of the (p+q)th degree lie on a curve of the pth degree the rest lie on a curve of the qth degree.

The inhabitants of Bari organized an expedition, seized his remains by means of a ruse, and transported them to Bari, where they were received in triumph on the qth of May 1087, and where the foundations were laid of a new basilica in his honour.