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Class 10 > What is Euclid’s second axiom?
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What is Euclid’s second axiom?

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Euclid second axiom states that any terminated straight line can be projected indefinitely.
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Any terminated straight line can be projected indefinitely.
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Second Axiom: If equals are added to equals, the whole are equal. let's say if x= 3 and y=3 then by axiom 1 (Things which are equal to the same thing are also equal to one another.) x=y similarly a=5 and b=5 then a=b now if a is added to x and b is added to y then x+a=3+5=8 ...
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Second Axiom: If equals are added to equals, the whole are equal. let's say if x= 3 and y=3 then by axiom 1 (Things which are equal to the same thing are also equal to one another.) x=y similarly a=5 and b=5 then a=b now if a is added to x and b is added to y then x+a=3+5=8 and y+b=3+5=8 then by axiom 1 x+a=y+b this is what axiom 2 said if equals are added to equals then whole are equal that is x and y are equal to each other and a and b are equal to each other so if x is added to a and y is added to b then the whole things x+a and y+b are equal to each other . read less
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Any terminated straight line can be projected indefinitely
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Teacher

It is one of the five basic postulates of Euclid which states that any strighline can be extended indefinitely
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