Download Hollow Earth by John Barrowman, Carole E. Barrowman PDF

By John Barrowman, Carole E. Barrowman

Plenty of twins have a unique connection - having the ability to end each one other's sentences; sensing what the opposite is pondering; even perhaps understanding while the opposite is in difficulty or in discomfort - yet for 12-year-old twins, Matt and Emily Calder, the relationship is past certain. jointly, the twins have impressive powers. they can carry artwork to lifestyles, or input work at will. Their talents are sought by way of villains attempting to entry the terrors of hole Earth - a spot the place all of the demons, devils and creatures ever imagined lie trapped for eternity. The twins flee with their mom to the safety of an island, off the west coast of Scotland, the place their grandfather has definite protecting powers of his personal. yet an excessive amount of is at stake, and the twins aren't secure there both. The villains will cease at not anything to discover hole Earth and harness the powers within...

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Associated 8X8 magic squares may be constructed in great variety by the method now under consideration, and the different com- / J2. J IJ' 2J 2/ 22- 7 12 26 0 ? 9 f31 s- 034- '" Fig. 84. 3& Fig. 85. binations of numbers from I to 8 given in Fig. 86 will be found useful for laying out a large number of A primary squares. Fig. 87 shows the fixed numbers in the diagonal columns of these 8 X 8 A primary squares, and also designates by letters tIle 8pecific rows of figures which may be used for the different horizontal columns.

11/ "" z, JiI JO JS" JI J~ 01.. Jol Fig. 59. 2 S. oFI i IS /;9 2-2 /;1. y 27 oJl .... I Fig. 60. " 19 Totals = 260. 29 MAGIC SQUARES. shown in the annexed examples. Fig. 55 illustrates two different forms from which the magic square Fig. 56 is constructed. Fig. 57 shows three different forms which are used in connection with the square in Fig. 58, and in a similar manner Figs. 59 and 60 show four different diagrams and the square derived therefrom. The , ,OD 1- 99 /1. $ 4. 1 7~ JJ ". /" IZ 29 72.

51 (First Part). diagrams in the order A, D, and C, which ha~'e each a different form of irregularity, and after numbering them in arithmetical sequence from I to 36, as shown in Pig. 49, copy the numbers in diagrammatic order into the cells of a 6 X 6 square. It must be remembered that the cells in the corner diagonal 23 MAGIC SQUARES. columns of these even magic squares may be correctly filled by writing the numbers in arithmetical order according to the rule previously given, so in beginning any new even square it will be found helpful to first write the numbers in these columns, and they will then serve as guides in the further development of the square.

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