52 VI. ON PARALLELOGRAMS. — ON TRANSLATIONS Translations. Exercise 31. Find the locus of the points such that the sum or difference of its distances to two given lines is equal to a given length. Exercise 32. Given two parallel lines, and two points A, B outside these two parallels, and on different sides, what is the shortest broken line joining the two points, so that the portion contained between the two parallels has a given direction?

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