Prologue | |
Introduction | |
Find Two Square Numbers Which Sum to a Square Number | |
Any Square Number Exceeds the Square Immediately Before It by the Sum of the Roots | |
There is Another Way of Finding Two Squares Which Make a Square Number with Their Sum | |
A Sequence of Squares is Produced from the Ordered Sums of Odd Numbers Which Run from 1 to Infinity | |
Find Two Numbers So That the Sum of Their Squares Makes a Square Formed by the Sum of the Squares of Two Other Given Numbers | |
A Number is Obtained Which is Equal to the Sum of Two Squares in Two, Three, or Four Ways | |
Find in Another Way a Square Number Which is Equal to the Sum of Two Square Numbers | |
Two Squares Can Again be Found Whose Sum Will be the Square of the Sum of the Squares of Any Two Given Numbers | |
Find Two Numbers Which Have the Sum of Their Squares Equal to a Nonsquare Number Which is Itself the Sum of the Squares of Two Given Numbers | |
Find the Sum of the Squares of Consecutive Numbers from the Unity to the Last | |
Find the Sum of the Squares of Consecutive Odd Numbers from the Unity to the Last | |
If Two Numbers are Relatively Prime and Have the Same Parity, Then the Product of the Numbers and Their Sum and Difference is a Multiple of Twenty-Four | |
The Mean of Symmetrically Disposed Numbers is the Center | |
Find a Number Which Added to a Square Number and Subtracted from a Square Number Yields Always a Square Number | |
Square Multiples of Congruous Numbers are Congruous Numbers | |
Find a Congruous Number Which is a Square Multiple of Five | |
Find a Square Number Which Increased or Diminished by Five Yields a Square Number | |
If Any Two Numbers Have an Even Sum, Then the Ratio of Their Sum to Their Difference is Not Equal to the Ratio of the Larger to the Smaller | |
Find a Square Number for Which the Sum and the Difference of It and Its Root is a Square Number | |
A Square Number is Found Which When Twice Its Root is Added or Subtracted Always Makes a Square Number | |
For Any Three Consecutive Odd Squares, the Greatest Square Exceeds the Middle Square by Eight More Than the Middle Square Exceeds the Least Square | |
Find in a Given Ratio the Two Differences Among Three Squares | |
Find Three Square Numbers So That the Sum of the First and the Second As Well As All Three Numbers are Square Numbers | |
The Question Proposed by Master Theodore | |
References | |
Index | |
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