A History of Mathematics |
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Page 22
... continued to exist at least two centuries longer . Among the later Pythagoreans , Philolaus and Archytas are the most prominent . Philolaus wrote a book on the Pythago- rean doctrines . By him were first given to the 22 A HISTORY OF ...
... continued to exist at least two centuries longer . Among the later Pythagoreans , Philolaus and Archytas are the most prominent . Philolaus wrote a book on the Pythago- rean doctrines . By him were first given to the 22 A HISTORY OF ...
Page 55
... continued to be one of the most important studies in the Alexandrian course . This Second Alexandrian School may be said to begin with the Christian era . It was made famous by the names of Claudius Ptolemæus , Diophantus , Pappus ...
... continued to be one of the most important studies in the Alexandrian course . This Second Alexandrian School may be said to begin with the Christian era . It was made famous by the names of Claudius Ptolemæus , Diophantus , Pappus ...
Page 71
... continued proportion , and the first is a square , so is the third . In the ninth book , the same subject is continued . It contains the proposition that the number of primes is greater than any given number . After the death of Euclid ...
... continued proportion , and the first is a square , so is the third . In the ninth book , the same subject is continued . It contains the proposition that the number of primes is greater than any given number . After the death of Euclid ...
Page 78
... continued this practice . A less primitive mode of designating numbers , presumably of Etruscan origin , was a notation resembling the present " Roman notation . " This system is noteworthy from the fact that a principle is involved in ...
... continued this practice . A less primitive mode of designating numbers , presumably of Etruscan origin , was a notation resembling the present " Roman notation . " This system is noteworthy from the fact that a principle is involved in ...
Page 79
... continued to be used in Europe during the Middle Ages . We possess no knowledge as to where or when it was invented . The second mode of calculation , by the abacus , was a subject of elemen- tary instruction in Rome . Passages in Roman ...
... continued to be used in Europe during the Middle Ages . We possess no knowledge as to where or when it was invented . The second mode of calculation , by the abacus , was a subject of elemen- tary instruction in Rome . Passages in Roman ...
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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.