He was forced to pawn Rousillon, his possession on the north-east of the Pyrenees, to Louis **XI**., who refused to part with it.

He at once undertook the defence of his wife's dominions from an attack by Louis **XI**., king of France, and defeated the French forces at Guinegatte, the modern Enguinegatt; on the 7th of August 1479.

He lived with the exiled court of Margaret of Anjou at Bar until 1470, and took an active part in the diplomacy which led to the coalition of Warwick and Clarence with the Lancastrians and Louis **XI**., and indirectly to Edward IV.'s expulsion from the throne.

Immitis, **Xi**, removed from the heart to show its length.

His Ganganelli: Papst Clemens **XI** V., seine Briefe and seine Zeit (Berlin, 1847) is valuable for the relations between this pope and the Jesuits.

Sila=Latin silva, Greek i **Xi**; Temesa, cf.

- **XI-XIV**,eleventh to fourteenth segments.

Another interesting building is the Gothic chapel of Notre-Dame, with three naves, rebuilt by Louis **XI**., standing close to a medieval bridge over the Sienne.

De Beaucourt, Charles VII et Louis **XI** d'apres Thomas Basin (Paris, 1858).

**XI** V.

**Xi** to n.

**Xi** tv, to loosen).

Louis **XI**., in particular, had to struggle against the appanaged nobles.

On the outbreak of the war in 1675 he was the most loyal and energetic supporter of the young Charles **XI**., and finally his indispensable counsellor.

..yn **xi**, and as a particular case (y1, Y2,...yn) (x1, x2,...xn) = 1.

Yl, y 2,...yn) (zl, z2,...zn z1, z 2, ï¿½ï¿½ï¿½zn **xi**, 'X' 2,...

;51, 2) = r F(ao, al, a2,...; **xi**, x2), the function F(a 01 a 1, a 2, ...

For this reason the umbrae A1, A 2 are said to be contragredient to **xi**, x 2.

The Hessian (0 a 2 -al)**xi** + (a 0 a 3 -ala2)xlx2+ (a l a i - a2)x2.

And the weight' of the coefficient of the leading term **xi** +Q+T+.ï¿½ï¿½ is equal to i+j+k+....

For the substitution rr xl =A 11 +1 2 12, 52=A21+ï¿½2E2, of modulus A1 ï¿½i = (Alï¿½.2-A2ï¿½1) = (AM), A 2 ï¿½2 the quadratic form a k **xi** -1-2a 1 x i x 2 +a 2 4 = x =f (x), becomes A41 +2A1E16 =At = OW, where Ao = aoA i +2a1AiA2 +a2Az, _ _ A 1 = ao A lï¿½l +ai(A1/.22+A2ï¿½1) +7,2X2/22, A2 = aoï¿½l +2a1ï¿½1/ï¿½2 +a 2ï¿½2 ï¿½ We pass to the symbolic forms a:= (aixi+a2x2) 2, A 2 = (A 151+ A 26) 2/ by writing for ao, al, a2 the symbols ai, a 1 a 2, a?