Given 2 numbers #(a,b)# it is possible to perform geometrically the following algebraic operations: a+b, a−b, a*b, a/b. Use only a straight edge and compass to show each operation?
Addition and subtraction of two numbers
For addition a long line OT is first drawn using ruler then two line segments
In case of subtraction one line segment
Multiplication by geometric method is explained in above figure.
Here three line segments are taken. One represents unit length and other two represent two numbers
From a line segment QX ,
Proof
So
Division by geometric method is explained in above figure.
Here three line segments are taken. One represents unit length and other two represent two numbers
From a line segment QX ,
Proof
So
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Certainly, here's how each algebraic operation can be performed geometrically using only a straight edge and compass:

Addition (a + b):
 Draw a line segment representing the length of ( a ).
 From one endpoint of the segment, draw another line segment of length ( b ) in the same direction.
 The endpoint of the second segment represents the sum ( a + b ).

Subtraction (a  b):
 Draw a line segment representing the length of ( a ).
 From one endpoint of the segment, draw another line segment of length ( b ) in the opposite direction.
 The endpoint of the second segment represents the difference ( a  b ).

Multiplication (a * b):
 Draw a line segment representing the length of ( a ).
 With one endpoint of the segment as the center, draw a circle with radius equal to the length of ( b ).
 The length of the segment where the circle intersects the original line represents the product ( a \times b ).

Division (a / b):
 Draw a line segment representing the length of ( a ).
 With one endpoint of the segment as the center, draw a circle with radius equal to the length of ( b ).
 Where the circle intersects the original line, mark two points.
 The length between these two points represents the quotient ( a / b ).
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When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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