1. Math
  2. Advanced Math
  3. a point is that which has no part a line...

Question: a point is that which has no part a line...

Question details

A point is that which has no part. A line is breadthless length. The ends of a line are points. A straight line A surface is that which has length and breadth only. The edges of a surface are lines. A plane surface is a surface which lies evenly with the straight lines on itself. Definition 2. Definition 3. Definition 4 is a line which lies evenly with the points on itself Definition 5 Definition S. 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 And when the lines containing the angle are straight, the angle is called ractiliear 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 a perpendicular to that on which it stands An obtuse angle is an angle greater than a right angle. An acute angls is an angle lesa than a right angle. A bowxdary is that which is an extremity of anything. A figure is that which is contained by any boundary or boundaries. 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. finition 9. Definition 12. Definition 16. And the point is called the center of the cirele A diametar 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. A somicircle is the fizure contained by the diameter and the circumference cut off by it. And the center of the emicircle 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 mulilateral those contained by more than four straight lines. Of trilateral figures, an equilateral triangle is that which has its three sides equal, an isoscelss triangls that which has two of its sides alone equal, and a scalene rirgle that which has its three sides unequal. Further, of trilateral figures, a right-angled triangle is that which has a right angle, an obtuse-angled triangle that which has an obtuse angle, and an acute-angled triangle that which has its three angles acute.(Lee, exercise 1A) State for every definition in Book I of Euclids Ele- ments, if it is descriptive or logical. (23 points) Descriptive def.: an intuitive description of a concept. Logical def.: a new object is introduced in terms of precise conditions.

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution