## Most Viewed- Never-yielding Cement- Aigrettes - Composition I Saltpetre Two Ounces Flour Of Sulphur One Ounce - The Three Magical Parties - Chemical Illuminations - The Deforming Mirrors - A Water Which Gives Silver A Gold Colour - Bottles Broken By Air - Of Gunpowder &c - A Liquid That Shines In The Dark - Invisible Ink - Another - A Lamp That Will Burn Twelve Months Without Replenishing - A More Powerful Fulminating Powder - Another Way - Inflammable Phosphorus - Another Way ## Least Viewed- The Leech A Prognosticator Of The Weather- To Make Squibs And Serpents - To Give Silver-plate A Lustre - To Show The Spots In The Sun's Disk By Its Image In The Camera - To Load Air Balloons With Stars Serpents &c &c When You Fill - To Find The Difference Between Two Numbers The Greatest Of Which Is - To Find The Number Of Changes That May Be Rung On Twelve Bells - To Make Any Number Divisible By Nine By Adding A Figure To It - To Tell The Number Of Points On Three Cards Placed Under Three - To Represent Cascades Of Fire - To Fill A Bladder With Hydrogen Gas - To Make Several Rockets Rise Together Take Six Or Any Number Of - To So Fill A Glass With Water That It Cannot Be Removed Without - To Melt Iron In A Moment And Make It Run Into Drops - There Must Also Be A Glass Planned To Rise Up And Down In The Groove A B And So Managed By A Cord And Pulley C D E F That It May - To Extract The Silver Out Of A Ring That Is Thick Gilded So That The - To Tell How Many Cards A Person Takes Out Of A Pack And To Specify |
## Arithmetical SquaresAn arithmetical magical square consists of numbers so disposed in parallel and equal lines, that the sum of each, taken any way of the square, amounts to the same. Any five of these sums taken in a right line make 65. You will observe that five numbers in the diagonals A to D, and B to C, of the magical square, answer to the ranks E to F, and G to H, in the natural square, and that 13 is the centre number of both squares. A Natural Square. A Magical Square. A G B A B +--+--+--+--+--+ +--+--+--+--+--+ 1 2 3 4 5 1124 720 3 +--+--+--+--+--+ +--+--+--+--+--+ 6 7 8 910 41225 816 +--+--+--+--+--+ +--+--+--+--+--+ E 1112131415 F 17 51321 9 +--+--+--+--+--+ +--+--+--+--+--+ 1617181920 1018 11422 +--+--+--+--+--+ +--+--+--+--+--+ 2122232425 23 619 215 +--+--+--+--+--+ +--+--+--+--+--+ C H D C D To form a magical square, first transpose the two ranks in the natural square to the diagonals of the magical square; then place the number 1 under the central number 13, and the number 2 in the next diagonal downward. The number 3 should be placed in the same diagonal line; but as there is no room in the square, you are to place it in that part it would occupy if another square were placed under this. For the same reason, the number 4, by following the diagonal direction, falling out of the square, it is to be put into the part it would hold in another square, placed by the side of this. You then proceed to numbers 5 and 6, still descending; but as the place 6 should hold is already filled, you then go back to the diagonal, and consequently place the 6 in the second place under the 5, so that there may remain an empty space between the two numbers. The same rule is to observed, whenever you find a space already filled. You proceed in this manner to fill all the empty cases in the angle where the 15 is placed: and as there is no space for the 16 in the same diagonal, descending, you must place it in the part it would hold in another square, and continue the same plan till all the spaces are filled. This method will serve equally for all sorts of arithmetical progressions composed of odd numbers; even numbers being too complicated to afford any amusement. Next: To Find The Difference Between Two Numbers The Greatest Of Which Is Previous: To Make Any Number Divisible By Nine By Adding A Figure To It
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