Euclid's Elements

What is Euclid known for?

• Father of Algebra

• Father of Geometry

• Father of Probability

• Father of Statistics

Tags

CCSS.8.G.B.8

Which among the given is non-Euclidian?

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Euclid wrote which textbook?

• Geometry 101

• Grecian Geometry

• The Elements

• Plane Geometry

How many basic postulates did Euclid establish as the basis for geometry?

• 5

• 7

• 11

• 13

Which of the following is not one of the five postulates?

• Two intersecting lines create equal vertical angles.

• A circle can be described with a point and a radius.

• A line segment can be extended infinitely in both directions.

• A line can be drawn between two points.

Which postulate is being illustrated?

• A line segment can be extended infinitely in both directions.

• A circle is composed of infinitely many points.

• A line can be drawn between two points.

• A circle can be described with a point and a radius.

Which postulate is applied in the figure on the left?

• A line can be drawn between two points.

• A line segment can be extended infinitely in both directions.

• If a straight line falling on two straight lines makes the interior angles on the same side less than two right angles,the two straight lines, if produced indefinitely, meet on that side on which are the angles less than the two right angles.

• Two intersecting lines create equal vertical angles.

Euclid's fifth postulate states that 'If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight lines, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.'

How would you rewrite this postulate so that it would be easier to understand?

Tags

CCSS.8.G.A.5

If two lines are drawn which intersect a third in such a way that the sum of the inner angles on one side is less than ________, then the two lines inevitably must intersect each other on that side if extended far enough.

Tags

CCSS.8.G.A.5

Which among is not a part of Euclid's The Elements?

• Number Theory

• Similar Figures and Proportions

• Circles

• Conics