ISBN: 1230449116

[EAN: 9781230449111], Neubuch, [PU: TheClassics.us], ARTHUR CAYLEY,MATHEMATICS, This item is printed on demand. Paperback. 94 pages. Dimensions: 9.7in. x 7.4in. x 0.2in.This historic book… More...

[EAN: 9781230449111], Neubuch, [PU: TheClassics.us], ARTHUR CAYLEY,MATHEMATICS, This item is printed on demand. Paperback. 94 pages. Dimensions: 9.7in. x 7.4in. x 0.2in.This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1896 edition. Excerpt: . . . : there are thus 5x4, 20, tetrahedra having 20 x 4 summits which are the 20 points B each 4 times; 20 x 4 centres of faces which are the SO points B each 4 times; and 20 x 6 mid-points of sides which are the 30 points 6 each 4 times. It thus appears that, as mentioned above, the five regular figures depend only on the points A, B, 0, and 3. We might take as poles two opposite points A, B, 0, or ; and in each case determine in reference to these the positions of the other points; but for brevity I consider only the case in which we take as poles two opposite points A. We have the following table: Poles two opposite points A. I add for greater completeness the following results, some of which were used in the calculation of the foregoing table. Considering successively (1) the tetrahedral triangle, summits 3 points B, centre a point B; (2) the hexahedral square, summits 4 points B, centre a point 0; (3) the octahedral triangle, summits 3 points , centre a point B; (4) the icosahedral triangle, summits 3 points A, centre a point B; (5) the dodecahedral pentagon, summits 5 points, centre a point B; and (6), what may be called the small pentagon, summits 5 points 4 lying within a dodecahedral pentagon, and having therewith the common centre B; we may in each case write s the side, r the radius or distance of the centre from a summit, p the perpendicular or distance of the centre from a side. And the values then are 680. ON THE HESSIAN OF A QUARTIC SURFACE. From the Quarterly Journal of Pure and Applied Mathematics, vol. xv. (1878), pp. 141--144 The surface considered is UiuaP-Q 0, viz. this may be considered as the central inverse of the ellipsoid or say The values of the second derived functions, or terms of the Hessian. . . This item ships from La Vergne,TN.<

ISBN: 9781230449111

Paperback, [PU: Theclassics.Us], This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from… More...

Paperback, [PU: Theclassics.Us], This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1896 edition. Excerpt: ...@: there are thus 5x4, = 20, tetrahedra having 20 x 4 summits which are the 20 points B each 4 times; 20 x 4 centres of faces which are the SO points B each 4 times; and 20 x 6 mid-points of sides which are the 30 points 6 each 4 times. It thus appears that, as mentioned above, the five regular figures depend only on the points A, B, 0, and 3. We might take as poles two opposite points A, B, 0, or $; and in each case determine in reference to these the positions of the other points; but for brevity I consider only the case in which we take as poles two opposite points A. We have the following table: Poles two opposite points A. I add for greater completeness the following results, some of which were used in the calculation of the foregoing table. Considering successively (1) the tetrahedral triangle, summits 3 points B, centre a point B; (2) the hexahedral square, summits 4 points B, centre a point 0; (3) the octahedral triangle, summits 3 points (c), centre a point B; (4) the icosahedral triangle, summits 3 points A, centre a point B; (5) the dodecahedral pentagon, summits 5 points, centre a point B; and (6), what may be called the small pentagon, summits 5 points 4 lying within a dodecahedral pentagon, and having therewith the common centre B; we may in each case write s the side, r the radius or distance of the centre from a summit, p the perpendicular or distance of the centre from a side. And the values then are 680. ON THE HESSIAN OF A QUARTIC SURFACE. From the Quarterly Journal of Pure and Applied Mathematics, vol. xv. (1878), pp. 141--144 The surface considered is U=?iuaP-Q = 0, viz. this may be considered as the central inverse of the ellipsoid or say The values of the second derived functions, or terms of the Hessian.., Mathematics<

2013, ISBN: 9781230449111

Trade paperback, New., Trade paperback (US). Glued binding. 94 p. Contains: Illustrations, black & white., [PU: Theclassics.Us]

ISBN: 9781230449111

Paperback, [PU: Theclassics.Us], Mathematics