The Mathematical System of Geometry.pptx
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Geometry is a branch of mathematics focused on the study of sizes, shapes, positions, angles, and dimensions. It is built on fundamental concepts such as points, lines, and planes, which are considered undefined terms that do not require further illustration. The document discusses the axiomatic structure that underpins geometry as a mathematical system.
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The Mathematical System of Geometry.pptx
- 1. THE MATHEMATICAL SYSTEM OF GEOMETRY MODULE 1
- 2. Geometry • is a branch of mathematics that studies the sizes, shapes, positions, angles and dimensions of things. • as defined by ancient Greek, geo- means “earth”, -metron means “measurement”. Just like algebra and other fields of mathematics, it has a mathematical system.
- 3. THE AXIOMATIC STRUCTURE OF A MATHEMATICAL SYSTEM IN GEOMETRY
- 5. • RECALL: POINT, LINE, AND PLANE • DIRECTIONS: DETERMINE WHETHER EACH OF THE FOLLOWING SUGGESTS A POINT, A LINE OR A PLANE. • 1. STRAIGHT WIRE • 2. PINHOLE • 3. SHEET OF PAPER • 4. PERIOD • 5. STICK
- 6. • POINTS, LINES, AND PLANES ARE THE BUILDING BLOCKS OF GEOMETRY. THEY ARE THE UNDEFINED TERMS IN GEOMETRY BECAUSE THEY CAN BE DESCRIBED WITHOUT USING OTHER FIGURES.