The purpose of measurement is to be able to have a group of units that everyone can use as a rule of thumb when trying to describe something's height, weight or volume.
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Units aren't used to measure anything. After you complete the measurement, using equipment suited to the purpose, you use units to describe the result of your measurement, and to tell other people about it. I would measure the thickness of a hair using a micrometer, and express the result in millimeters.
The horizontal measurement refers to the measurement that is made along the X-axis. The horizontal measurement is usually one dimensional.
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Linear measurement just means measurement of length in a straight line
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