seven axioms of euclid. .
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Answer:
what are the 7 axioms in euclid geometry
Euclid's Axioms:
1: Things which are equal to the same things are also equal to one another.
2: If equals are added to equals, then the wholes are equal.
3: If equals are subtracted from equals, then the remainders are equal.
4: Things which coincide with one another are equal to one another.
Step-by-step explanation:
AXIOMS AND POSTULATES OF EUCLID
This version is given by Sir Thomas Heath (1861-1940) in The Elements of Euclid. (1908)
AXIOMS
Things which are equal to the same thing are also equal to one another.
If equals be added to equals, the wholes are equal.
If equals be subtracted from equals, the remainders are equal.
Things which coincide with one another are equal to one another.
The whole is greater than the part.
POSTULATES
Let the following be postulated:
To draw a straight line from any point to any point.
To produce a finite straight line continuously in a straight line.
To describe a circle with any center and distance.
That all right angles are equal to one another.
That if a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the straight lines, if produced indefinitely, will meet on that side on which the angles are less that two right angles.*