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Caption: Mathematical Models by Arnold Emch - Series 4 (1928) This is a reduced-resolution page image for fast online browsing.
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38 Its equation is Mathematical Problems I 2x — 1 2 y — l 2s—1 — x — y — z I y — 4 z x + 3 z — ix+3y t 0 — 0 Sy-2z S x + 1 0 y - 3 z - S - 2 x - 3 y - 4 z 2 - 5 y + 2z ~ I 6x + 3y — 2z — 3 3x — z — 2x — y — 2z+l — 3 x + z \ or (x + y + z - 1) [4x2;y - 4x;y2 + 2xH - 2xz2 + 2yz2 -2y2z + xy — Axz + 3yz] —2xyz (3x — 2y — z) = 0. The model shows the six nodes, the fifteen lines joining the nodes in pairs, the ten lines which are the intersections of the pairs of planes through the nodes, and the space cubic through the six nodes. This cubic is in any case an asymptotic line of the corresponding Weddle Surface. The plane sections are represented by beads outlining the quartic curves thus giving several systems of quartic curves on the surface.
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