A History of Mathematics |
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Page 6
... contains a table of square numbers up to 602. The numbers 1 , 4 , 9 , 16 , 25 , 36 , 49 , are given as the squares of the first seven integers respectively . We have next 1.4 = 82 , 1.21 = 92 , 1.40 = 102 , 2.1 112 , etc. This remains ...
... contains a table of square numbers up to 602. The numbers 1 , 4 , 9 , 16 , 25 , 36 , 49 , are given as the squares of the first seven integers respectively . We have next 1.4 = 82 , 1.21 = 92 , 1.40 = 102 , 2.1 112 , etc. This remains ...
Page 7
... contain no number in which there was occasion to use a zero . The sexagesimal system was used also in fractions . Thus , in the Babylonian inscriptions , and are designated by 30 and 20 , the reader being expected , in his mind , to ...
... contain no number in which there was occasion to use a zero . The sexagesimal system was used also in fractions . Thus , in the Babylonian inscriptions , and are designated by 30 and 20 , the reader being expected , in his mind , to ...
Page 10
... , was deciphered by Eisenlohr in 1877 , and found to be a mathematical manual containing problems in arithmetic and geometry . It was written by Ahmes some time before 1700 B.C. , and was founded on an 10 A HISTORY OF MATHEMATICS .
... , was deciphered by Eisenlohr in 1877 , and found to be a mathematical manual containing problems in arithmetic and geometry . It was written by Ahmes some time before 1700 B.C. , and was founded on an 10 A HISTORY OF MATHEMATICS .
Page 11
... contains " hardly any general rules of procedure , but chiefly mere statements of results intended possibly to be explained by a teacher to his pupils . " In geometry the forte of the Egyptians lay in making con- structions and ...
... contains " hardly any general rules of procedure , but chiefly mere statements of results intended possibly to be explained by a teacher to his pupils . " In geometry the forte of the Egyptians lay in making con- structions and ...
Page 13
... the column next to the left . The Ahmes papyrus contains interesting information on the way in which the Egyptians employed fractions . Their methods of operation were , of course , radically different THE EGYPTIANS . 13.
... the column next to the left . The Ahmes papyrus contains interesting information on the way in which the Egyptians employed fractions . Their methods of operation were , of course , radically different THE EGYPTIANS . 13.
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Popular passages
Page 292 - THEOREM. If a straight line, falling on two other straight lines, make the alternate angles equal to each other ; these two straight lines shall be parallel.
Page 13 - The formula states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the base and altitude.
Page 90 - In an inscribed quadrilateral, the product of the diagonals is equal to the sum of the products of the opposite sides.
Page 419 - FERRERS.— AN ELEMENTARY TREATISE on TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projections. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.