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| # Some statement which are taken for granted in a particular branches of mathematics is called postulates. | | # Some statement which are taken for granted in a particular branches of mathematics is called postulates. |
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− | ===== Concept 2 - Euclid' Axioms =====
| + | ==== Concept 2 - Euclid' Axioms ==== |
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| ===== Activities ===== | | ===== Activities ===== |
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| ====== [[Axiom 1: Things which are equal to the same thing are equal to one another|Things which are equal to the same thing are equal to one another]] ====== | | ====== [[Axiom 1: Things which are equal to the same thing are equal to one another|Things which are equal to the same thing are equal to one another]] ====== |
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− | ==== '''[[Axiom 2 and 3: If equals are added or subtracted to equals, the wholes are equal|If equals are added or subtracted to equals, the wholes are equal]]''' ==== | + | ====== '''[[Axiom 2 and 3: If equals are added or subtracted to equals, the wholes are equal|If equals are added or subtracted to equals, the wholes are equal]]''' ====== |
− | '''[[Axiom 4: Things which coincide with one another are equal to one another|Things which coincide with one another are equal to one another]]''' | + | |
| + | ====== '''[[Axiom 4: Things which coincide with one another are equal to one another|Things which coincide with one another are equal to one another]]''' ====== |
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| ====== [[Axiom 5: The whole is greater than the part|The whole is greater than the part]] ====== | | ====== [[Axiom 5: The whole is greater than the part|The whole is greater than the part]] ====== |
| + | [[Introduction to angles]] |
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− | ====== [[Introduction to angles]] ======
| + | Introduction to pairs of angles |
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− | ======Introduction to pairs of angles ======
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− | ===== Solved problems =====
| + | Solved problems |
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− | ==== Concept 3 - Points, lines and angles ====
| + | Concept 3 - Points, lines and angles |
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| ===== Activities ===== | | ===== Activities ===== |