Solid mensuration lecture #1
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The document defines key terms in solid mensuration. It defines point, line, and plane as undefined terms and space, collinear points, coplanar points, and intersection as defined terms. Point is an indicator of position without width, length, or depth. A line extends indefinitely in either direction without width. A plane is a flat surface that extends indefinitely. Space is the set of all points. Collinear points lie on the same line while coplanar points lie on the same plane.
Solid mensuration lecture #1
- 1. SOLID MENSURATION MATH 005A Lecture #1 • Undefined terms a. Point b. Line c. Plane • Defined terms a. Space b. Collinear and non-collinear points c. Coplanar and Non-Coplanar Points d. Intersection
- 2. Undefined Terms UNDEFINED TERMS DESCRIPTION POINT - Indicator of a position A point does not occupy an area. It does not have any width, length or depth LINE - NOTATION A collection of points that extends indefinitely in either direction. It does not have any width Since it extends indefinitely. A line is denoted as a segment with arrows on either end. - PLANE - A set of points contained in a flat surface and extends indefinitely in all directions A plane is commonly denoted as a closed four-sided figure. D Plane D
- 3. Defined Terms Space – is the set of all points. Collinear points – are the points that lie on the same line. D • E N Non-collinear points are points that do not lie on the same line A M • N Coplanar points – are points that lie on the same plane.
- 4. Non-coplanar points - are points that do not lie on tha same plane. QRST D M E Points Q, R, S and T and Points D,M and R are coplanar points while points D, M, R, Q, S, T, and E are non-coplanar points.
- 5. Exercises. TRUE OR FALSE
- 6. Seatwork