A Double Discovery: The Square of the Circle

21904 square inches 348 of Archimedes 47th proposition amount too long ancient Grecian area obtained centre circle being 167 circle being 9 circumference computing the area computing with 3.1416 Computing with 348 containing many intersections corner Deacidified denominator diagonal line DIAGRAM diameter diamond dotted lines earth eleven-square equilateral triangle Euclid's 47th exact length extension of decimal five-square geometrical principles Iceland improper fraction inch in area infinitesimal amount intersections of lines largest circle largest square line of decimals longest line lower circle mathe mathematicians Metius mixed number number of definite numbered and measured oblong square Papyrus place of unending places of decimals pointed star primary number problem of squaring process NORSE TOWER Psalm quadrangular relative lengths rounded number RUFUS FULLER seven places shown smallest circle solved in Geometry square root square that contains squares of circles squaring the circle straight lines tained three-line intersection unending decimals whole numbers