Definitions_Books 2-3

Question 1

Any rectangular parallelogram is said

Answer 1

to be contained by the two straight lines containing the right angle.

Question 2

And in any parallelogrammic area

Answer 2

let any one whatever of the parallelograms about its diameter with the two complements be called a gnomon.

Question 3

Equal circles are

Answer 3

those whose diameters are equal, or whose radii are equal.

Question 4

A straight line is said

Answer 4

to touch a circle which, meeting the circle and being produced, does not cut the circle.

Question 5

Circles are said to

Answer 5

touch one another which meet one another but do not cut one another.

Question 6

Straight lines in a circle are said

Answer 6

to be equally distant from the center when the perpendiculars drawn to them from the center are equal.

Question 7

And that straight line is said

Answer 7

o be at a greater distance on which the greater perpendicular falls.

Question 8

A segment of a circle is

Answer 8

he figure contained by a straight line and a circumference of a circle.

Question 9

An angle of a segment is

Answer 9

that contained by a straight line and a circumference of a circle.

Question 10

An angle in a segment is

Answer 10

the angle which, when a point is taken on the circumference of the segment and straight lines are joined from it to the ends of the straight line which is the base of the segment, is contained by the straight lines so joined.

Question 11

And, when the straight lines containing the angle cut off a circumference,

Answer 11

the angle is said to stand upon that circumference.

Question 12

A sector of a circle is

Answer 12

the figure which, when an angle is constructed at the center of the circle, is contained by the straight lines containing the angle and the circumference cut off by them.

Question 13

Similar segments of circles are

Answer 13

those which admit equal angles, or in which the angles equal one another.