A History of Mathematics |
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Page xii
... 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 . 65. FAVARO , ANTON . " Justus Bellavitis , " Zeitschrift fur ...
... 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 . 65. FAVARO , ANTON . " Justus Bellavitis , " Zeitschrift fur ...
Page 2
... position can be taken . The importance of this strategic rule may be emphasised by citing a case in which it has been violated . An untold amount of intellectual energy has been expended on the quadrature of the circle , yet no conquest ...
... position can be taken . The importance of this strategic rule may be emphasised by citing a case in which it has been violated . An untold amount of intellectual energy has been expended on the quadrature of the circle , yet no conquest ...
Page 7
... position " was employed . Thus , in 1.4 ( = 64 ) , the 1 is made to stand for 60 , the unit of the second order , by virtue of its position with respect to the 4. The introduction of this principle at so early a date is the more ...
... position " was employed . Thus , in 1.4 ( = 64 ) , the 1 is made to stand for 60 , the unit of the second order , by virtue of its position with respect to the 4. The introduction of this principle at so early a date is the more ...
Page 30
... position , " but this is a statement of a philosophical theory rather than a definition . Plato objected to calling a point a " geometrical fiction . " He defined a point as the " beginning of a line " or as " an indivis- ible line ...
... position , " but this is a statement of a philosophical theory rather than a definition . Plato objected to calling a point a " geometrical fiction . " He defined a point as the " beginning of a line " or as " an indivis- ible line ...
Page 48
... positions of two conics , as , for instance , when they have one or two points of contact with each other . The fifth book reveals better than any other the giant intellect of its author . Difficult questions of maxima and 48 A HISTORY ...
... positions of two conics , as , for instance , when they have one or two points of contact with each other . The fifth book reveals better than any other the giant intellect of its author . Difficult questions of maxima and 48 A HISTORY ...
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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.