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Note the grid point where the red and blue triangles in the lower image meet (5 squares to the right and two units up from the lower left corner of the combined figure), and compare it to the same point on the other figure; the edge is slightly under the mark in the upper image, but goes through it in the lower.
In contrast, the graph of the function f(x) + k = x 2 + k is a parabola shifted upward by k whose vertex is at (0, k), as shown in the center figure. Combining both horizontal and vertical shifts yields f(x − h) + k = (x − h) 2 + k is a parabola shifted to the right by h and upward by k whose vertex is at (h, k), as shown in the bottom figure.
Two such geodesics are illustrated in Figs. 11 and 12. Here b ⁄ a = 2 ⁄ 7 and the equatorial azimuth, α 0, for the green (resp. blue) geodesic is chosen to be 53.175° (resp. 75.192°), so that the geodesic completes 2 (resp. 3) complete oscillations about the equator on one circuit of the ellipsoid. Fig. 13.
Note: Most subscribers have some, but not all, of the puzzles that correspond to the following set of solutions for their local newspaper. CROSSWORDS
mirror symmetry with respect to one of the grid line directions (4) mirror symmetry with respect to a diagonal line (3) 2-fold rotational symmetry: C 2 (4) 2 fixed polyominoes for each free polyomino: symmetry with respect to both grid line directions, and hence also 2-fold rotational symmetry: D 2 (2) (also known as the Klein four-group)
A completed nonogram of the letter "W" from the Wikipedia logo. Nonograms, also known as Hanjie, Paint by Numbers, Picross, Griddlers, and Pic-a-Pix, are picture logic puzzles in which cells in a grid must be colored or left blank according to numbers at the edges of the grid to reveal a hidden picture.
Rochester, NH native Tracy Morgan joins an elite group of White Mountain Grid finishers, a group of hikers numbering less than 200.
Explore daily insights on the USA TODAY crossword puzzle by Sally Hoelscher. Uncover expert takes and answers in our crossword blog.