Euclids statements Flashcards

1
Q

Postulate 1

A

A straight line may be drawn from any one point to any other point.

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2
Q

Postulate 2

A

A line segment can be extended on either side to form a line.

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3
Q

Postulate 3

A

A circle can be drawn with any center and any radius.

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4
Q

Postulate 4

A

All right angles are equal to one another.

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5
Q

Postulate 5

A

If a straight line falling on two straight lines makes the interior angles on the same side of it less than two right angles, then the two straight lines meet on that side on which the sum of angles is less than two right angles.

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6
Q

Axiom 5.1

A

Given two distinct points there is a unique line that passes through them.

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7
Q

Theorem 5.1

A

Two distinct lines cannot have more then one point in common.

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