Definitions Raman Choubay School Of mathema Definitions 1
Definitions Raman Choubay School Of mathema
Definitions 1. A point is that of which there is no part. The description of a point, “there is no part, ” indicates that a point as having no width, length, or breadth, but as an indivisible location School Of mathema
Definitions 2. And a line is a length without breadth. or A line is breadthless length. The description, “breadthless length, ” says that a line will have one dimension, length, but it won’t have breadth. School Of mathema
Definitions 3. And the extremities of a line are points. or The ends of a line are points. This description indicates A point can be end of an line It doesn’t indicate how many ends a line can have. For instance, the circumference of a circle has no ends, but a finite line has its two end points. School Of mathema
Definitions 4. A straight-line is whatever lies evenly with points upon itself. or A straight line is a line which lies evenly with the points on itself. This description indicates if we are taking any two point on the straight line and join them it lies completely on the line School Of mathema
Definitions 5. And a surface is that which has length and breadth alone or A surface is that which has length and breadth only. This statement suggests that a surface has two dimensions length and breadth namely School Of mathema
Definitions 6. And the extremities of a surface are lines. or The edges of a surface are lines This definition allow us to define relation between line and plane School Of mathema
Definitions 7. A plane surface is whatever lies evenly with straightlines upon itself. or A plane surface is a surface which lies evenly with the straight lines on itself. This Definition describe that if we take any two points on the plane and join it than the line will completely lies on the plane School Of mathema
Definitions 8. And a plane angle is the inclination of the lines, when two lines in a plane meet one another, and are not laid down straight-on with respect to one another. or 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. This concept of angle is quietly different from our modern concept. In this concept angle is inclination between two curves School Of mathema
Definitions 9. And when the lines containing the angle are straight then the angle is called rectilinear. School Of mathema
Definitions 10. And when a straight-line stood upon another straightline makes adjacent angles which are equal to one another, each of the equal angles is a right-angle, and the former straight-line is called perpendicular to that upon which it stands. ine Perpendicular L The word orthogonal is frequently used in mathematics as a synonym for perpendicular. School Of mathema
Definitions 11. An obtuse angle is greater than a right-angle. School Of mathema
Definitions 12. And an acute angle is less than a right-angle. . School Of mathema
Definitions 13. A boundary is that which is the extremity of some thing. The boundary is the extremities of any object like the boundary of ball is circle School Of mathema
Definitions 14. A figure is that which is contained by some bound or boundaries. The figure should be bounded that means this should has the finite area not infinite School Of mathema
Definitions 15. A circle is a plane figure contained by a single line which is called a circumference such that all of the straight-lines radiating towards the circumference from a single point lying inside the figure are equal to one another. 16. And the point is called the center of the circle. School Of mathema
Definitions 17. And a diameter of the circle is any straightline, being drawn through the center, which is brought to an end in each direction by the circumference of the circle. And any such straight-line cuts the circle in half. School Of mathema
Definitions 18. And a semi-circle is the figure contained by the diameter and the circumference it cuts off. And the center of the semi-circle is the same point as the center of the circle. School Of mathema
Definitions 19. Rectilinear figures are those figures contained by straight-lines: trilateral figures being contained by three straight-lines, quadrilateral by four, and multilateral by more than four. School Of mathema
Definitions 20. And of the trilateral figures: an equilateral triangle is that having three equal sides, an isosceles triangle that having only two equal sides, and a scalene triangle that having three unequal sides. This definition classifies triangles by their symmetries, The scalene triangle C has no symmetries, but the isosceles triangle B has a bilateral symmetry. The equilateral triangle A not only has three bilateral symmetries, but also has 120°-rotational symmetries School Of mathema
Definitions 21. And further of the trilateral figures: a rightangled triangle is that having a right-angle, an obtuse-angled (triangle) that having an obtuse angle, and an acute angled triangle that having three acute angles. No triangle can contain more than one right angle. Furthermore, there can be at most one obtuse angle, and a right angle and an obtuse angle cannot occur in the same triangle. School Of mathema
Definitions 22. And of the quadrilateral figures: a square is that which is right-angled and equilateral, a rectangle that which is right-angled but not equilateral, a rhombus that which is equilateral but not right-angled, and a rhomboid that having opposite sides and angles equal to one another which is neither right-angled nor equilateral. And let quadrilateral figures besides these be called trapezia. School Of mathema
The figure A is, of course, a square. Figure B is an oblong, or a rectangle. Figure C is a rhombus. Figure D is a trapezium (also called a trapeze or trapezoid). And figure E is a parallelogram, not defined here. School Of mathema
Definitions 23. Parallel lines are straight-lines which, being in the same plane, and being produced to infinity in each direction, meet with one another in neither of these directions. Explanation: For the straight lines to be parallel they should 1. Being in the same plane 2. After producing infinitely they should not meet any Direction School Of mathema
Thank You Created By : Raman Choubay Email: raman. choubay@gmail. com School Of mathema
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