To determine if the statement "A single point is about 1/12 of an inch in height" is true or false, we need to delve into some historical and widely accepted typographical measurements.
1. Understanding Points in Typography:
- In traditional typography, the unit "point" is used as a measure of font size and spacing.
- There are 72 points in an inch. This is a standard measurement in the field of typography.
2. Calculation:
- If there are 72 points in one inch, we can calculate the height in inches of a single point.
- Since 1 inch = 72 points, the height of 1 point is calculated as follows:
[tex]\[
1 \text{ point} = \frac{1 \text{ inch}}{72 \text{ points}} = \frac{1}{72} \text{ inch}
\][/tex]
3. Comparing with 1/12 inch:
- Now, compare [tex]\(\frac{1}{72}\)[/tex] of an inch with the fraction stated in the question, which is [tex]\(\frac{1}{12}\)[/tex] inch.
- To see how these two fractions compare, let's consider:
[tex]\[
\frac{1}{12}
\][/tex]
- If we express this in terms of points, using the relationship that 1 inch = 72 points, we have:
[tex]\[
\frac{1}{12} \text{ inch} \times 72 \text{ points/inch} = 6 \text{ points}
\][/tex]
- [tex]\(\frac{1}{12}\)[/tex] of an inch equals 6 typographical points. Notice the difference here: 1 point is much smaller than 6 points.
4. Purpose of the Comparison:
- The statement "A single point is about [tex]\(\frac{1}{12}\)[/tex] of an inch in height" asserts a direct comparison.
- According to the standard typographical measurement, a single point is actually about [tex]\(\frac{1}{72}\)[/tex] of an inch, not [tex]\(\frac{1}{12}\)[/tex] of an inch.
- Thus, the comparison shows a noticeable difference, indicating that the given statement is inaccurate based on these traditional measurement conversions.
Thus, the statement "A single point is about [tex]\(\frac{1}{12}\)[/tex] of an inch in height" is False.
