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Apollonios von Perge

Türkei · Wissenschaftler · Lebte 262 v. Chr. bis 190 v. Chr. · im Alter von 72

Apollonios von Perge wird in 69 Sprachen etwa 188 Mal am Tag gelesen.

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Apollonios von Perge (lateinisch Apollonius Pergaeus; * ca. 265 v. Chr. in Perge; † ca. 190 v. Chr. in Alexandria) war ein antiker griechischer Mathematiker, bekannt für sein Buch über Kegelschnitte.

Text aus Wikipedia, CC BY-SA 4.0

Fotos 7

The conic sections, or two-dimensional figures formed by the intersection of a plane with a cone at different angles. The theory of these figures was developed extensively by the ancient Greek mathematicians, surviving especially in works such as those of Apollonius of Perga. The conic sections pervade modern mathematics.The conic sections, or two-dimensional figures formed by the intersection of a plane with a cone at different angles. The theory of these figures was developed extensively by the ancient Greek mathematicians, surviving especially in works such as those of Apollonius of Perga. The conic sections pervade modern mathematics.The animated figure depicts the method of "application of areas" to express the mathematical relationship that characterizes a parabola. The upper left corner of the changing rectangle on the left side and the upper right corner on the right side is "any point on the section". The animation has it following the section. The orange square at the top is "the square on the distance from the point to the diameter; i.e., a square of the ordinate. In Apollonius, the orientation is horizontal rather than the vertical shown here. Here it is the square of the abscissa. Regardless of orientation, the equation is the same, names changed. The blue rectangle on the outside is the rectangle on the other coordinate and the distance 
  
    
      
        p
        .
      
    
    {\displaystyle p.}
  
 In algebra, 
  
    
      
        
          x
          
            2
          
        
        =
        p
        y
        ,
      
    
    {\displaystyle x^{2}=py,}
  
 one form of the equation for a parabola. If the outer rectangle exceeds 
  
    
      
        p
        y
      
    
    {\displaystyle py}
  
 in area, the section must be a hyperbola; if it is less, an ellipse.The animated figure depicts the method of "application of areas" to express the mathematical relationship that characterizes a parabola. The upper left corner of the changing rectangle on the left side and the upper right corner on the right side is "any point on the section". The animation has it following the section. The orange square at the top is "the square on the distance from the point to the diameter; i.e., a square of the ordinate. In Apollonius, the orientation is horizontal rather than the vertical shown here. Here it is the square of the abscissa. Regardless of orientation, the equation is the same, names changed. The blue rectangle on the outside is the rectangle on the other coordinate and the distance p . {\displaystyle p.} In algebra, x 2 = p y , {\displaystyle x^{2}=py,} one form of the equation for a parabola. If the outer rectangle exceeds p y {\displaystyle py} in area, the section must be a hyperbola; if it is less, an ellipse.Visual form of the Pythagorean theorem as the ancient Greeks saw it. The area of the blue square is the sum of the areas of the other two squares.Visual form of the Pythagorean theorem as the ancient Greeks saw it. The area of the blue square is the sum of the areas of the other two squares.Cartesian coordinate system, standard in analytic geometryCartesian coordinate system, standard in analytic geometryPages from the 9th century Arabic translation of the ConicsPages from the 9th century Arabic translation of the Conics1661 edition of Conica by Apollonius edited by Giuseppe Cocchini1661 edition of Conica by Apollonius edited by Giuseppe Cocchini

Zur Person

Apollonios von Perge (lateinisch Apollonius Pergaeus; * ca. 265 v. Chr. in Perge; † ca. 190 v. Chr. in Alexandria) war ein antiker griechischer Mathematiker, bekannt für sein Buch über Kegelschnitte. In der Astronomie trug er zur Theorie der Mond- und Planetenbewegung bei, die später Ptolemäus in sein Lehrbuch übernahm.

Text aus Wikipedia, CC BY-SA 4.0

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Daten
Lebte 262 v. Chr. bis 190 v. Chr. · im Alter von 72

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