Magic Squares and Cubes |
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Magic Squares and Cubes Paul Carus,Charles Albert Browne,W S B 1847 Andrews No preview available - 2018 |
Common terms and phrases
arithmetical order arithmetical sequence arrangement basic row bers cells in upward center cell central cell CHLADNI FIGURES Class combination consecutive numbers corner cells corner diagonal columns David Eugene Smith diagonal sequence diagrams eight numbers equal example follows four Franklin squares geometrical given in Fig hand diagonal harmony horizontal columns illustrate increments initial number Jaina key numbers key square knight's move last numbers left hand magic cubes mathematics method middle cell middle number n2 BREAKMOVES numbers in Fig odd magic squares pairs of numbers Panel PAUL CARUS perfect magic square perpendicular placed cells plans Plato Plutarch primary square Fig prime number produce Pythagoras regular right-hand diagonal rule second cell Section series of numbers shown in Fig shows SIMPLE ALTERNATION square in Fig SQUARES AND PYTHAGOREAN sub-squares summation symbols symmetrically Tetractys three-figure values Timæus Totals upper vertical X 4 magic X 5 square XXXX می
Popular passages
Page 167 - A Hair perhaps divides the False and True ; Yes; and a single Alif were the clue — Could you but find it — to the Treasure-house, And peradventure to THE MASTER too...
Page 90 - I then confessed to him that in my younger days, having once some leisure (which I still think I might have employed more usefully), I had amused myself in making this kind of magic squares, and at length had acquired such a knack at it that I could fill the cells of any magic square of reasonable size with a series of numbers as fast as I could write them, disposed in such a manner as that the sums of every row, horizontal, perpendicular, or diagonal, should...
Page 100 - ... Also the bent row from 52 to 54, descending to the right, and from 10 to 16, descending to the left, and every one of its parallel bent rows of eight numbers, make 260.
Page 100 - ... hole being cut in a piece of paper of such a size as to take in and show through it just 16 of the little squares, when laid on the greater square, the sum of the 16 numbers so appearing through the hole, wherever it was placed on the greater square, should likewise make 2056.
Page 99 - Also the bent row from 52 descending to 54, and from 43 ascending to 45, and every one of its parallel bent rows of eight numbers, make 260. Also the bent row from 45 to 43, descending to the left, and from 23 to 17, descending to the right, and every one of its parallel bent rows of eight numbers, make 260.
Page 124 - ... .impar numerus immortalis, quia dividi integer non potest, par numerus mortalis, quia dividi potest; licet Varro dicat Pythagoreos putare imparem numerum habere finem, parem esse...
Page 90 - That every straight row, horizontal or vertical, of 8 numbers added together makes 260, and half each row half 260. (2) That the bent row of 8 numbers, ascending and descending diagonally, viz., from 16 ascending to 10, and from 23 descending to 17, and every one of its parallel bent rows of 8 numbers, make 260. Also the bent row from 52...