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LECTURE 3.

The simplest problem of analytic geometry. Equations of a straight line on a plane.

 

LECTURE PLAN:

 

1. The simplest problem of analytic geometry

2. Equations of a straight line on a plane

 

Analytic Geometry in the Plane

 

Consider the Cartesian rectangular coordinate system in the plane. Taking the projection of any point Ì1 on the x and y coordinate we obtain two numbers x=a1 and y=b1. Take two numbers a2 and b2 plot a2 on the x-axis and b2 on the y-axis . Having drawn two straight lines parallel to the coordinate axes through these points we find obtain a point M2 in their intersection.

 
a2
M2(a2;b2)

b2
M1(a1;b1) b1

       
 
 
   
x


0

a1

Thus, there is a one–to–one correspondence between points in the plane and pairs of numbers.

Date: 2015-01-02; view: 1215


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Inverse Matrices | The distance between two points. Let us find the distance between two points Ì1 and Ì2 in the plane.
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