Question 2: The origins of geometry Euclid is known as the father of modern geometry as he set up a system of all the geometrical practices of the time. The system included definitions, axioms, or postulates, and common notions Five Postulates of Euclidean Geometry 1. Given two points, there is a straight line that joins them. 2. A straight line segment can be prolonged indefinitely. 3. A circle can be constructed when a point for its centre and a distance for its radius are given. 4. All right angles are equal. 5. If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, will meet on that side on which the angles are less than the two right angles. 1. For each of the postulates, design an investigation activity that you would give learners in the in the intermediate phase. The actrit/s-uld aim to engage learners in exploring each postulates of Euclidean geometry through hands-on experiences and observations through using the teaching and learning aids of your choice. drawings which you would use to explain the (postulates) to learners in a class.
Question 2: The origins of geometry Euclid is known as the father of modern geometry as he set up a system of all the geometrical practices of the time. The system included definitions, axioms, or postulates, and common notions Five Postulates of Euclidean Geometry 1. Given two points, there is a straight line that joins them. 2. A straight line segment can be prolonged indefinitely. 3. A circle can be constructed when a point for its centre and a distance for its radius are given. 4. All right angles are equal. 5. If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles, the two straight lines, if produced indefinitely, will meet on that side on which the angles are less than the two right angles. 1. For each of the postulates, design an investigation activity that you would give learners in the in the intermediate phase. The actrit/s-uld aim to engage learners in exploring each postulates of Euclidean geometry through hands-on experiences and observations through using the teaching and learning aids of your choice. drawings which you would use to explain the (postulates) to learners in a class.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Transcribed Image Text:Question 2: The origins of geometry
Euclid is known as the father of modern geometry as he set up a system of all the geometrical
practices of the time. The system included definitions, axioms, or postulates, and common
notions
Five Postulates of Euclidean Geometry
1. Given two points, there is a straight line that joins them.
2. A straight line segment can be prolonged indefinitely.
3. A circle can be constructed when a point for its centre and a distance for its radius are given.
4. All right angles are equal.
5. If a straight line falling on two straight lines makes the interior angles on the same side less than
two right angles, the two straight lines, if produced indefinitely, will meet on that side on which
the angles are less than the two right angles.
1. For each of the postulates, design an investigation activity that you would give learners in
the in the intermediate phase. The actit/suld aim to engage learners in exploring
each postulates of Euclidean geometry through hands-on experiences and observations
through using the teaching and learning aids of your choice. drawings which you would
use to explain the (postulates) to learners in a class.
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