平行四边形是指具有两对平行边的四边形，其中对边长度相等，对角线度量相等。
In this article we are going to find all possible coordinates of a Parallelogram.
Basically, we will find all the possible coordinates from the given three coordinates to make a parallelogram of a non-zero area. Here the three given coordinates are not fixed points and can change.
因此，如果给出三个坐标，我们可以断言只有这三个坐标可以构建一个平行四边形。
As per diagram given above, the opposite sides of a parallelogram are equal in length i.e., AD = BC and AB = CD, we can calculate the coordinates of the missing point (D) as
AD = BC
(Dx - Ax, Dy - Ay) = (Cx - Bx, Cy - By)
Dx = Ax + Cx - Bx
Dy = Ay + Cy - By
让我们开始吧！
展示给你一些实例
Instance-1
假设这三个点是 −
{a1 = 3, a2 = 2}, {b1 = 1, b2 = 0}, {c1 = 4, c2 = 2}
After finding all possible coordinates of a Parallelogram, result will be −
The (x, y) coordinates are −
0, 0
6, 4
2, 0
Instance-2
假设这三个点是 −
{a1 = 7, a2 = 2}, {b1 = 3, b2 = 0}, {c1 =0, c2 = 1}
After finding all possible coordinates of a Parallelogram, result will be −
The (x,y) coordinates are −
10, 1
4, 3
-4, -1
Algorithm
Step 1 − Declare the three coordinates of parallelogram.
Step 2 − Find the other possible coordinates using the formula.
Step 3 − Print the result.
Multiple Approaches
我们以不同的方法提供了解决方案。
-
通过使用静态输入值
-
通过用户定义的方法
让我们逐个查看程序及其输出。
方法一：通过使用静态输入值
在这种方法中，我们将把这三个点作为静态输入，并应用公式来打印结果。
Example
public class Main{
// main method
public static void main(String[] args){
//Declare the three coordinates of parallelogram
int a1 = 3, a2 = 2;
int b1 = 1, b2 = 0;
int c1 = 4, c2 = 2;
//find the other possible coordinates and printing it
System.out.println("The (x,y) coordinates are: ");
System.out.println(a1 + b1 - c1 + ", " + (a2 + b2 - c2));
System.out.println(a1 + c1 - b1 + ", " + (a2 + c2 - b2));
System.out.println(c1 + b1 - a1 + ", " + (c2 + b2 - a2));
}
}
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Output
The (x,y) coordinates are:
0, 0
6, 4
2, 0
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Approach-2: By Using User Defined Method
In this approach, first we will initialise a user defined method and we will take the three points as input and apply the formula to print the result.
Example
public class Main {
// main method
public static void main(String[] s){
//Declare the three coordinates of parallelogram
int a1 = 7, a2 = 2;
int b1 = 3, b2 = 0;
int c1 = 0, c2 = 1;
//calling user defined function
func(a1, a2, b1, b2, c1, c2);
}
//user defined function
static void func(int a1, int a2, int b1, int b2, int c1, int c2){
//find the other possible coordinates and printing it
System.out.println("The (x,y) coordinates are: ");
System.out.println(a1 + b1 - c1 + ", " + (a2 + b2 - c2));
System.out.println(a1 + c1 - b1 + ", " + (a2 + c2 - b2));
System.out.println(c1 + b1 - a1 + ", " + (c2 + b2 - a2));
}
}
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Output
The (x,y) coordinates are:
10, 1
4, 3
-4, -1
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在这篇文章中，我们探讨了如何通过使用不同的方法在Java中找到平行四边形的所有可能坐标。
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