What is mean by euclids geometry
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it euclids it has no point and the line can be drawn infinite
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✅Hi,
✅Here is the answer to your query:-
ℹEuclid's geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many theorems from these. Although many of Euclid's results had been stated by earlier mathematicians,Euclid was the first to show how these theorems could fit into a comprehensive deductive and logical system.
ℹHe has given a set of Axioms and Postulates:
✅•First Axiom: Things which are equal to the same thing are also equal to one another.
✅•Second Axiom: If equals are added to equals, the whole are equal.
✅•Third Axiom: If equals be subtracted from equals, the remainders are equal.
✅•Fourth Axiom: Things which coincide with one another are equal to one another.
✅•Fifth Axiom: The whole is greater than the part.
✅•First Postulate: To draw a line from any point to any point.
✅•Second Postulate: To produce a finite straight line continuously in a straight line.
✅•Third Postulate: To describe a circle with any center and distance.
✅•Fourth Postulate: That all right angles are equal to one another.
✅•Fifth Postulate: That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side of which are the angles less than the two right angles.
⭐⭐✔✔⭐⭐
✅Here is the answer to your query:-
ℹEuclid's geometry is a mathematical system attributed to Alexandrian Greek mathematician Euclid, which he described in his textbook on geometry: the Elements. Euclid's method consists in assuming a small set of intuitively appealing axioms, and deducing many theorems from these. Although many of Euclid's results had been stated by earlier mathematicians,Euclid was the first to show how these theorems could fit into a comprehensive deductive and logical system.
ℹHe has given a set of Axioms and Postulates:
✅•First Axiom: Things which are equal to the same thing are also equal to one another.
✅•Second Axiom: If equals are added to equals, the whole are equal.
✅•Third Axiom: If equals be subtracted from equals, the remainders are equal.
✅•Fourth Axiom: Things which coincide with one another are equal to one another.
✅•Fifth Axiom: The whole is greater than the part.
✅•First Postulate: To draw a line from any point to any point.
✅•Second Postulate: To produce a finite straight line continuously in a straight line.
✅•Third Postulate: To describe a circle with any center and distance.
✅•Fourth Postulate: That all right angles are equal to one another.
✅•Fifth Postulate: That, if a straight line falling on two straight lines make the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, meet on that side of which are the angles less than the two right angles.
⭐⭐✔✔⭐⭐
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