A History of Mathematics |
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Page xii
... Variable . Cambridge , 1893 . 63. GRAHAM , R. H. Geometry of Position . London , 1891 . 64. SCHMIDT , FRANZ . " Aus dem Leben zweier ungarischer Mathe- matiker Johann und Wolfgang Bolyai von Bolya . " Grunert's Archiv , 48 : 2 , 1868 ...
... Variable . Cambridge , 1893 . 63. GRAHAM , R. H. Geometry of Position . London , 1891 . 64. SCHMIDT , FRANZ . " Aus dem Leben zweier ungarischer Mathe- matiker Johann und Wolfgang Bolyai von Bolya . " Grunert's Archiv , 48 : 2 , 1868 ...
Page 14
... variable denominators . Ahmes used the term " fraction " in a restricted sense , for he applied it only to unit - fractions , or fractions having unity for the numer- It was designated by writing the denominator and then . placing over ...
... variable denominators . Ahmes used the term " fraction " in a restricted sense , for he applied it only to unit - fractions , or fractions having unity for the numer- It was designated by writing the denominator and then . placing over ...
Page 48
... variables ( abscissa and ordinate ) in the system of analytic geometry of Descartes . " It will be observed from this that the diameter of the curve and the perpendicular erected at one of its extremities suffice to construct the curve ...
... variables ( abscissa and ordinate ) in the system of analytic geometry of Descartes . " It will be observed from this that the diameter of the curve and the perpendicular erected at one of its extremities suffice to construct the curve ...
Page 174
... variable , as , for instance , the ordinate of a curve , is evanescent for values very near a maximum or a minimum value of the variable . Developing this idea , Fermat obtained his rule for maxima and minima . He substituted xe for x ...
... variable , as , for instance , the ordinate of a curve , is evanescent for values very near a maximum or a minimum value of the variable . Developing this idea , Fermat obtained his rule for maxima and minima . He substituted xe for x ...
Page 185
... variables . and constants , which enabled him to represent curves by alge- braic equations . In the Greek geometry , the idea of motion was wanting , but with Descartes it became a very fruitful conception . By him a point on a plane ...
... variables . and constants , which enabled him to represent curves by alge- braic equations . In the Greek geometry , the idea of motion was wanting , but with Descartes it became a very fruitful conception . By him a point on a plane ...
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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.