A History of Mathematics |
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Page 16
... element- ary geometry . But this does not lessen our admiration for the Greek mind . From the moment that Hellenic philoso- phers applied themselves to the study of Egyptian geometry , this science assumed a radically different aspect ...
... element- ary geometry . But this does not lessen our admiration for the Greek mind . From the moment that Hellenic philoso- phers applied themselves to the study of Egyptian geometry , this science assumed a radically different aspect ...
Page 21
... Elements , I. 47 , is due to Euclid himself , and not to the Pythagoreans . What the Py- thagorean method of proof was has been a favourite topic for conjecture . The theorem on the sum of the three angles of a triangle , presumably ...
... Elements , I. 47 , is due to Euclid himself , and not to the Pythagoreans . What the Py- thagorean method of proof was has been a favourite topic for conjecture . The theorem on the sum of the three angles of a triangle , presumably ...
Page 22
... elements of the physical world ; namely , fire , air , water , and earth . Later another regular solid was discovered , namely the dodecaedron , which , in absence of a fifth element , was made to represent the universe itself ...
... elements of the physical world ; namely , fire , air , water , and earth . Later another regular solid was discovered , namely the dodecaedron , which , in absence of a fifth element , was made to represent the universe itself ...
Page 26
... Elements we find the theory of proportion of magnitudes developed and treated independent of that of numbers . The transfer of the theory of proportion from numbers to mag- nitudes ( and to lengths in particular ) was a difficult and ...
... Elements we find the theory of proportion of magnitudes developed and treated independent of that of numbers . The transfer of the theory of proportion from numbers to mag- nitudes ( and to lengths in particular ) was a difficult and ...
Page 33
... Elements carefully designed , both in number and utility of its proofs ; Theudius of Magnesia , who composed a very good book of Elements and generalised propositions , which had been confined to particular cases ; Hermotimus of ...
... Elements carefully designed , both in number and utility of its proofs ; Theudius of Magnesia , who composed a very good book of Elements and generalised propositions , which had been confined to particular cases ; Hermotimus of ...
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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.