(4) By definition, a line m is "parallel" to a line l if for any two points P, Q on m, the perpendicular distance from P to l is the (5) It was unnecessary for Euclid to assume the parallel postulate (6) A "transversal" to two lines is another line that intersects both (7) By definition, a "right angle" is a 90° angle. same as the perpendicular distance from Q to L because the French mathematician Legendre proved it. of them in distinct points.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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State whether the following statements are correct or not:
Give a short explanation for each.

(4) By definition, a line m is "parallel" to a line l if for any two
points P, Q on m, the perpendicular distance from P to l is the
(5) It was unnecessary for Euclid to assume the parallel postulate
(6) A "transversal" to two lines is another line that intersects both
(7) By definition, a "right angle" is a 90° angle.
same as the perpendicular distance from Q to L
because the French mathematician Legendre proved it.
of them in distinct points.
Transcribed Image Text:(4) By definition, a line m is "parallel" to a line l if for any two points P, Q on m, the perpendicular distance from P to l is the (5) It was unnecessary for Euclid to assume the parallel postulate (6) A "transversal" to two lines is another line that intersects both (7) By definition, a "right angle" is a 90° angle. same as the perpendicular distance from Q to L because the French mathematician Legendre proved it. of them in distinct points.
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