Postulates 1-5 and Common Notions 1-5

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Euclid's Elements Book One

Last updated 11:22 PM on 8/31/25
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10 Terms

1
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Post. 1

To draw a straight line from any point to any point

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Post. 2

To produce a finite straight line continuously in a straight line

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Post. 3

To describe a circle with any center and distance (radius)

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Post. 4

That all right angles are equal to one another

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Post. 5

That, if a straight line falling on two straight lines makes the interior angles on the same side (that of the first line) less than 90°, the two lines, if extended indefinitely, will meet on the side where the angles are <90°

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CN 1

Things which are equal to the same thing are also equal to one another

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CN 2

If equals be added to equals, the wholes are equal

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CN 3

If equals be subtracted from equals, the remainders are equal

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CN 4

Things which coincide with one another are equal to one another

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CN 5

The whole is greater than the part

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