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za

of Za,hringen in 1218, his coheiresses brought parts of the Breisgau to the counts of Urach and Kyburg, while part went to the margraves of Baden.

11Amongst palms the Corypheae are represented by Sabal and Thrinax, and there is a solitary Za,nza amongst Cycads.

00Kravchinski, Za sto lyet, 1800-1896.

00) j1+j2+j3+..ï¿½ (J1+ j2 +j3+...-1)!/T1)?1(J2)72 (J 3)/3..., j11j2!j3!... ?.1 for the expression of Za n in terms of products of symmetric functions symbolized by separations of (n 1 1n 2 2n 3 3) Let (n) a, (n) x, (n) X denote the sums of the n th powers of quantities whose elementary symmetric functions are a l, a 2, a31ï¿½ï¿½ï¿½; x 1, x2, x31..; X1, X2, X3,...

00(x- an), the sums of powers Ea t, Za 3, Za 4, ...Za n all satisfy the equation Si=o.

00A quaternion is best defined as a symbol of the type q = Za s e s = aoeo + ales = ale, + a3e3, where eo, ...

00The sum and product of two quantities are defined in the first instance by the formulae zae -IE(3e = E (a +0) e, Za,ei X E ai e j = (a iai) eie9, so that the laws A, C, D of ï¿½ 3 are satisfied.

00za`faran), a product manufactured from the dried stigmas and part of the style of the saffron crocus, a cultivated form of Crocus sativus; some of the wild forms (var.

00Put S2 1 =12 cos 4, 12 2 = -12 sin 4, d4 d52 1 dS22 Y a2+c2 122 7Ti = 71 22 CL2- c2(121+5221)J, a2 +c2 do a2+c2 + 4c2 z dt a'-c2 (a2+,c2)2 M+2c2(a2-c2 N-{-a2+c2 2 Ý_a 2 +c 2 (' 4c2 .?"d za 2 -c 2 c2)2 2'J Z M+ -c2) which, as Z is a quadratic function of i 2, are non-elliptic so also for; G, where =co cos, G, 7 7 = - sin 4.

00- N / (z cot IC) =o, with centre sin A, sin B, sin C; the escribed circle opposite the angle A is - N I (- x cot ZA)+ -1 (y tan 2B) + -V (z tan 2C) =o, with centre - sin A, sin B, sin C; and the selfconjugate circle is x 2 cot A+y 2 cot B+z 2 cot C =o, with centre tan A, tan B, tan C. Since in areal co-ordinates the line infinity is represented by the equation x+y+z=o it is seen that every circle is of the form a 2 yz+b 2 zx+c 2 xy+(lx+my+nz)(x+y+z) = o.

00The consonants, 30 in number, which are deemed to possess an inherent sound a, are the following: ka, k'a, ga, nga, ea, ca, ja, nya, ta, t'a, da, na, pa, p'a, ba, ma, tsa, ts'a, dza, wa, z'a, za, 'ha, ya, ra, la, s'a, sa, ha, a; the so-called Sanskrit cerebrals are represented by the letters ta, t'a, da, na, s'a, turned the other way.

00Aiguille de la Za Mont Collon .

00We were asked why the ZA was so worried about forcible removals.

00) j1+j2+j3+..Ã¯¿½ (J1+ j2 +j3+...-1)!/T1)?1(J2)72 (J 3)/3..., j11j2!j3!... ?.1 for the expression of Za n in terms of products of symmetric functions symbolized by separations of (n 1 1n 2 2n 3 3) Let (n) a, (n) x, (n) X denote the sums of the n th powers of quantities whose elementary symmetric functions are a l, a 2, a31Ã¯¿½Ã¯¿½Ã¯¿½; x 1, x2, x31..; X1, X2, X3,...

00The sum and product of two quantities are defined in the first instance by the formulae zae -IE(3e = E (a +0) e, Za,ei X E ai e j = (a iai) eie9, so that the laws A, C, D of Ã¯¿½ 3 are satisfied.

00Put S2 1 =12 cos 4, 12 2 = -12 sin 4, d4 d52 1 dS22 Y a2+c2 122 7Ti = 71 22 CL2- c2(121+5221)J, a2 +c2 do a2+c2 + 4c2 z dt a'-c2 (a2+,c2)2 M+2c2(a2-c2 N-{-a2+c2 2 Ã_a 2 +c 2 (' 4c2 .?"d za 2 -c 2 c2)2 2'J Z M+ -c2) which, as Z is a quadratic function of i 2, are non-elliptic so also for; G, where =co cos, G, 7 7 = - sin 4.

00The equation to the circumcircle assumes the simple form a fry +bra+ca(3= o, thecentre being cos A, cos B, cos C. The inscribed circle is cos zA -V a +cos 1B -J (3 +cos 2C ¦ y = o, with centre Trill ea a= (3 = y; while the escribed circle opposite the angle A is cos 2A' - a+sin 2B A / 0+sin IC y=o, with centre Hates.

00The circumcircle is thus seen Areal to be a 2 yz+b 2 zx+c 2 xy=o, with centre sin 2A, sin 2B, co sin 2C; the inscribed circle is A t (x cot ZA)+ (y cot 2B) nates.

00Zhongguo Zhong Xi Yi Jie He Za Zhi 24 (May 2004): 418-421.

00Remark.-In this notation (0) = Eai = (i n); (02) _ za l a2 = (2);...

01

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