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प्रश्न
The total number of propositions in the Elements are ______.
विकल्प
465
460
13
55
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उत्तर
The total number of propositions in the Elements are 465.
Explanation:
The statements that can be proved are called propositions or theorems. Euclid deduced 465 propositions in a logical chain using his axioms, postulates, definitions and theorems.
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संबंधित प्रश्न
Give a definition of the following term. Are there other terms that need to be defined first? What are they, and how might you define them?
square
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How many lines can be drawn through a given point.
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The things which are double of the same thing are equal to one another.
“For every line l and for every point P not lying on a given line l, there exists a unique line m passing through P and parallel to l ” is known as Playfair’s axiom.
Solve the following question using appropriate Euclid’s axiom:
In the following figure, we have AB = BC, BX = BY. Show that AX = CY.
In the following figure AB = BC, M is the mid-point of AB and N is the mid-point of BC. Show that AM = NC.
The following statement is true or false? Give reason for your answer.
There are an infinite number of lines which pass through two distinct points.
