A History of Mathematics |
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Page 3
... solution of problems and the cold logic of geometrical demonstrations are interspersed with historical remarks and anecdotes . A class in arithmetic will be pleased to hear about the Hindoos and their invention of the " Arabic notation ...
... solution of problems and the cold logic of geometrical demonstrations are interspersed with historical remarks and anecdotes . A class in arithmetic will be pleased to hear about the Hindoos and their invention of the " Arabic notation ...
Page 15
... solution is as follows : 19 ; 7 7 Thus the problem , + x = 19 . In this = 2 } } ; x = 16 } J. But in other problems , the solutions are effected by various other methods . It thus appears that the beginnings of algebra are as ancient as ...
... solution is as follows : 19 ; 7 7 Thus the problem , + x = 19 . In this = 2 } } ; x = 16 } J. But in other problems , the solutions are effected by various other methods . It thus appears that the beginnings of algebra are as ancient as ...
Page 17
... solution presupposes a knowledge of proportion , and the Ahmes papyrus actually shows that the rudiments of proportion were known to the Egyptians . Ac- cording to Diogenes Laertius , the pyramids were measured by Thales in a different ...
... solution presupposes a knowledge of proportion , and the Ahmes papyrus actually shows that the rudiments of proportion were known to the Egyptians . Ac- cording to Diogenes Laertius , the pyramids were measured by Thales in a different ...
Page 19
... solution of it , and seems to have luckily escaped paralogisms . About the time of Anaxagoras , but isolated from the Ionic school , flourished Enopides of Chios . Proclus ascribes to him the solution of the following problems : From a ...
... solution of it , and seems to have luckily escaped paralogisms . About the time of Anaxagoras , but isolated from the Ionic school , flourished Enopides of Chios . Proclus ascribes to him the solution of the following problems : From a ...
Page 23
... solution to the problem of the duplication of the cube . His solution involves clear notions on the genera- tion of cones and cylinders . This problem reduces itself to finding two mean proportionals between two given lines . These mean ...
... solution to the problem of the duplication of the cube . His solution involves clear notions on the genera- tion of cones and cylinders . This problem reduces itself to finding two mean proportionals between two given lines . These mean ...
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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.