 ... and more famous, from a new point of view. Hippocrates was not satisfied with approximate equalities, and searched for curvilinearly bounded plane figures which should be mathematically equal to a rectilinearly bounded figure, and therefore could...  Mathematical Essays and Recreations - Seite 126von Hermann Schubert - 1899 - 149 SeitenVollansicht - Über dieses Buch
 | Paul Carus - 1891 - 734 Seiten
...be mathematically equal to a rectilinearly bounded figure, and therefore could be converted by ruler and compasses into a square equal in area. First,...; and upon the basis of this fact the endeavors of the untiring scholar were directed towards converting a circle into a crescent. Naturally he was unable... | |
 | Gottfried Wilhelm Freiherr von Leibniz - 1896 - 906 Seiten
...noted achievement was the discovery of the quadrature <>f the lmu>, or the crescent-shaped plane ngure produced by drawing two perpendicular radii in a circle...upon the line joining their extremities a semicircle. This lune is famous as the first curvilinear space whose area was exactly determined, and its area... | |
 | Smithsonian Institution. Board of Regents - 1891 - 898 Seiten
...be mathematically equal to a rectilinearly bounded figure, and therefore could be converted by ruler and compasses into a square equal in area. First,...; and upon the basis of this fact the endeavors of the untiring scholar were directed towards converting a circle into a crescent. Naturally he was unable... | |
| |
