Many students get the comprehension questions wrong on the Postulates in Euclid, Book I of Classical Geometry. The reason is because they don't carefully about them.

The first question asks, "In Geometry, what can be done when one is given one point?" and the answer is: NOTHING. None of the postulates addresses this situation.

The second question asks, "In Geometry, what can be done when one is given two points?". Nearly all students answer, quickly, "He can draw a straight line." That's true, but we can also draw a circle and, after a straight line is drawn, we can extend that line. So, the quick answer is not careful enough.

The third question asks, "In Geometry, what can be done when one is given a terminated straight line?". Nearly all students, again, answer quickly and say, "Extend it." Yes, that's true, but we can also draw a circle from a line.

The fourth question asks, "In Geometry, what must be given for one to construct a circle?". Nearly all students answer, for some unknown reason, "A point." No, a circle requires two points--one that serves as the center point and a second that marks the distance to the circumference.

Think carefully.

God bless,

William Michael, Headmaster

Classical Liberal Arts Academy

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