Principles (1-11)

Question 1

Principle 1

Answer 1

A straight line is the shortest line between two points.

Question 2

Principle 2

Answer 2

Only one straight line can be drawn between two points.

Question 3

Principle 3

Answer 3

Two straight lines can intersect at only one point.

Question 4

Principle 4

Answer 4

Quantities (lines) equal to the same quantity (line) are equal to each other.

Question 5

Principle 5

Answer 5

The whole is equal to the sum of all its parts.

Question 6

Principle 6

Answer 6

The whole is greater than any of its parts.

Question 7

Principle 7

Answer 7

If equals are added to equals, the sums are equal.

Question 8

Principle 8

Answer 8

If equals are subtracted from equals, then the remainders are equal.

Question 9

Principle 9

Answer 9

Doubles of equals are equal.

Question 10

Principle 10

Answer 10

Halves of equals are equal.

Question 11

Principle 11

Answer 11

If the first of three quantities is greater than the second, and the second is greater than the third, then the first is greater than the third.