write eculid's any 15 definition
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Definition 1.A point is that which has no part.
Definition 2.A line is breadthless length.
Definition 3.The ends of a line are points.
Definition 4.A straight line is a line which lies evenly with the points on itself.
Definition 5.A surface is that which has length and breadth only.
Definition 6.The edges of a surface are lines.
Definition 7.A plane surface is a surface which lies evenly with the straight lines on itself.
Definition 8.A plane angle is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line.
Definition 9.And when the lines containing the angle are straight, the angle is called rectilinear.
Definition 10.When a straight line standing on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called aperpendicular to that on which it stands.
Definition 11.An obtuse angle is an angle greater than a right angle.
Definition 12.An acute angle is an angle less than a right angle.
Definition 13.A boundary is that which is an extremity of anything.
Definition 14.A figure is that which is contained by any boundary or boundaries.
Definition 15.A circle is a plane figure contained by one line such that all the straight lines falling upon it from one point among those lying within the figure equal one another.
Definition 16.And the point is called the center of the circle.
Definition 17.A diameter of the circle is any straight line drawn through the center and terminated in both directions by the circumference of the circle, and such a straight line also bisects the circle.
Definition 18.A semicircle is the figure contained by the diameter and the circumference cut off by it. And the center of the semicircle is the same as that of the circle.
Definition 19.Rectilinear figures are those which are contained by straight lines, trilateral figures being those contained by three, quadrilateral those contained by four, and multilateral those contained by more than four straight lines.
Definition 20.Of trilateral figures, an equilateral triangle is that which has its three sides equal, an isosceles triangle that which has two of its sides alone equal, and a scalene triangle that which has its three sides unequal.
Definition 2.A line is breadthless length.
Definition 3.The ends of a line are points.
Definition 4.A straight line is a line which lies evenly with the points on itself.
Definition 5.A surface is that which has length and breadth only.
Definition 6.The edges of a surface are lines.
Definition 7.A plane surface is a surface which lies evenly with the straight lines on itself.
Definition 8.A plane angle is the inclination to one another of two lines in a plane which meet one another and do not lie in a straight line.
Definition 9.And when the lines containing the angle are straight, the angle is called rectilinear.
Definition 10.When a straight line standing on a straight line makes the adjacent angles equal to one another, each of the equal angles is right, and the straight line standing on the other is called aperpendicular to that on which it stands.
Definition 11.An obtuse angle is an angle greater than a right angle.
Definition 12.An acute angle is an angle less than a right angle.
Definition 13.A boundary is that which is an extremity of anything.
Definition 14.A figure is that which is contained by any boundary or boundaries.
Definition 15.A circle is a plane figure contained by one line such that all the straight lines falling upon it from one point among those lying within the figure equal one another.
Definition 16.And the point is called the center of the circle.
Definition 17.A diameter of the circle is any straight line drawn through the center and terminated in both directions by the circumference of the circle, and such a straight line also bisects the circle.
Definition 18.A semicircle is the figure contained by the diameter and the circumference cut off by it. And the center of the semicircle is the same as that of the circle.
Definition 19.Rectilinear figures are those which are contained by straight lines, trilateral figures being those contained by three, quadrilateral those contained by four, and multilateral those contained by more than four straight lines.
Definition 20.Of trilateral figures, an equilateral triangle is that which has its three sides equal, an isosceles triangle that which has two of its sides alone equal, and a scalene triangle that which has its three sides unequal.
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