Fill in the blanks To divide a line segment \( \mathrm{AB} \) in the ratio \( \mathrm{x}: \mathr...

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Fill in the blanks
To divide a line segment \( \mathrm{AB} \) in the ratio \( \mathrm{x}: \mathrm{y} \), draw a ray \( \mathrm{AP} \) such that \( \angle \mathrm{BAP} \) is an acute angle and then mark points on ray \( \mathrm{AX} \) at equal distances such that the minimum number of these points is
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