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In this Class 9 Mathematics topic from Introduction to Euclid’s Geometry, students learn how axioms—accepted statements that do not require proof—support mathematical reasoning. The topic explains the role of common notions, such as things equal to the same thing being equal to one another, and helps students distinguish axioms from definitions, postulates, and theorems. It builds a foundation for understanding how Euclid developed geometrical results through logical deductions.
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Easy · Level 1 · euclid's axioms,common notions,whole and part,euclidean geometry,class 9 mathematics,Axioms,Introduction to Euclid’s Geometry,introduction to euclid s geometryView options
The whole is equal to the part
The whole is greater than the part
The whole is smaller than the part
The whole and the part cannot be compared
Question 1EasyLevel 1
According to Euclid, how is the whole compared to the part?
Correct answer: B
According to Euclid’s common notion, the whole is greater than the part; therefore, option B is correct. A part is only a portion of the whole, so it cannot be equal to the whole. Exam tip: Remember this statement in its standard form: “The whole is greater than the part.”
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