A Double Discovery: The Square of the Circleauthor, 1892 - 31 pages |
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Common terms and phrases
21904 square inches 30 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 30 containing many intersections corner denominator diagonal line DIAGRAM diame diameter diamond dotted lines earth eleven-square equilateral triangle Euclid Euclid's 47th exact length extending 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 mathematicians Metius mixed number number of definite numbered and measured oblong square Papyrus places of decimals pointed star primary number problem of squaring Psalm quadrangular rectangle or oblong relative lengths rounded number second rule seven places shown side smallest circle solved in Geometry square root square that contains squares of circles squaring the circle stands between 48 straight lines tained three-line intersection whole numbers
Popular passages
Page 30 - He telleth the number of the stars; He calleth them all by their names.
Page 22 - The eye is the first circle; the horizon which it forms is the second; and throughout nature this primary figure is repeated without end. It is the highest emblem in the cipher of the world.
Page 27 - ... wheel is larger than the wheel. Whatever name is applied to the line of the circle, the mathematical principle is a line that is necessarily conceived to be a line without thickness, or an imaginary line. His result was like that of the ancients, being another one of the very near approximations in figures applied in this case, but not absolute.
Page 27 - Of other Americans who have given their attention to the problem of squaring the circle, there was one who published a book in 1851, in which it was disclosed that the side of a square being 5153, the sum of the length of the four sides is 20612 ; and the diameter of a circle being 6561, the length of the circle is...
Page 17 - It is well known that in this nineteenth century of discoveries many things have been accomplished that were formerly supposed to be impossible, and for this reason it would be generally conceded that the solution of this problem being possible, it was desirable that it should have been accomplished before the closing of the present century.