FREE BOOKS

Author's List




PREV.   NEXT  
|<   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68  
69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   >>   >|  
ny of the acid adheres to it, it is very subject to the action of light. From 100 grains of mercury, about 130 of the powder are obtained. This powder, when struck on an anvil with a hammer, explodes with a sharp stunning noise, and with such force as to indent both hammer and anvil. Three or four grains are sufficient for one experiment. _The Iron Tree._ Dissolve iron filings in aqua fortis, moderately concentrated, till the acid is saturated; then add to it gradually, a solution of fixed alkali, (commonly called oil of tartar per deliquum.) A strong effervescence will ensue, and the iron, instead of falling to the bottom of the vessel, will afterwards rise so as to cover the sides, forming a multitude of ramifications heaped one upon the other, which will sometimes pass over the edge of the vessel, and extend themselves on the outside, with all the appearance of a plant. _To make any Number divisible by Nine, by adding a Figure to it._ If (for example) the number named be 72,857, you tell the person who names it to place the number 7 between any two figures of that sum, and it will be divisible by 9; for if any number be multiplied by 9, the sum of the figures of the product will be either 9, or a number divisible by 9. _Arithmetical Squares._ An 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| |11|24| 7|20| 3| +--+--+--+--+--+ +--+--+--+--+--+ | 6| 7| 8| 9|10| | 4|12|25| 8|16| +--+--+--+--+--+ +--+--+--+--+--+ E |11|12|13|14|15| F |17| 5|13|21| 9| +--+--+--+--+--+ +--+--+--+--+--+ |16|17|18|19|20| |10|18| 1|14|22| +--+--+--+--+--+ +--+--+--+--+--+ |21|22|23|24|25| |23| 6|19| 2|15| +--+--+--+--+--+ +--+--+--+--+--+ 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
PREV.   NEXT  
|<   44   45   46   47   48   49   50   51   52   53   54   55   56   57   58   59   60   61   62   63   64   65   66   67   68  
69   70   71   72   73   74   75   76   77   78   79   80   81   82   83   84   85   86   87   88   89   90   91   92   93   >>   >|  



Top keywords:
square
 
number
 
magical
 

divisible

 

Square

 
natural
 
figures
 

numbers

 

diagonals

 

vessel


grains

 
hammer
 

powder

 

Arithmetical

 
multiplied
 

product

 

person

 

transpose

 

Squares

 

observe


answer

 

Natural

 

squares

 

centre

 

parallel

 
disposed
 
consists
 

arithmetical

 
amounts
 

Magical


experiment

 

sufficient

 

indent

 

Dissolve

 

filings

 
saturated
 

gradually

 

solution

 

concentrated

 

fortis


moderately

 

mercury

 
action
 

subject

 

adheres

 
explodes
 
stunning
 

struck

 

obtained

 
alkali