Analytic Geometry - One-Dimensional Coordinate System - Two-Dimensional Coordinate System

Senin, 18 Mei 2020

 

One-Dimensional Coordinate System

 

Poin coordinates: x₀, x₁, x₂, y₀, y₁, y₂

Real number: λ

Distance between two points: d

 

·         Distance Between Two Points

  

 

Figure 

·         Dividing a Line Segment in the Ratio λ

   

 

    

      

• Midpoint of a Line Segment

     

 

Two-Dimensional Coordinate System

 

Poin coordinates: x₀, x₁, x₂, y₀, y₁, y₂

Poin coordinates: r, φ

Real number: λ

Positive real numbers: a, b, c

Distance between two points: d

Area: S

 

 

·         Distance Between Two Points

    

 

Figure

 

·         Dividing a Line Segment in the Ratio λ

 

Figure

 

Figure

 

·         Midpoin of a Line Segment

·         Centroid (Intersection of Medians) of a Triangle

where A(x_1, y₁), B(x_2, y₂), and C(x_3, y₃) are vertices of the triangle ABC.

 

Figure 

·         Incente (Intersection of Angle Bisectors) of a Triangle

where a = BC, b = CA, c = AB.

 

Figure

 

Sumber

Labels: Mathematician

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