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Diagonal scale constructed for ___
One dimension
Two dimensions
Three dimensions
None of the above
Three dimensions
A diagonal scale is an advanced graphical scale designed to measure three successive units, such as meters, decimeters, and centimeters. It achieves this by using the principle of similar triangles to subdivide a single division into smaller fractional parts, allowing for greater precision than plain or vernier scales.
A diagonal scale is an advanced graphical scale designed to measure three successive units, such as meters, decimeters, and centimeters. It achieves this by using the principle of similar triangles to subdivide a single division into smaller fractional parts, allowing for greater precision than plain or vernier scales.
1┬аunit=10┬аsub-units=100┬аsub-sub-units
The scale operates on the principle of similar triangles. A sub-division is divided into n equal parts horizontally and n equal parts vertically using a diagonal line; by moving along the diagonal, the vertical distance increases proportionally, allowing the subdivision of a primary unit into much smaller units (e.g., dividing a unit into 10 parts, and then further into 10 parts of that 10th part).
Used to represent three dimensions (e.g., m, dm, cm).
Based on the geometry of similar triangles.
Provides higher precision than plain scales.
Commonly used in engineering drawing for high accuracy requirements.
Can represent three units simultaneously.
High precision in measurements.
More complex to construct compared to plain scales.
Requires careful drafting to maintain accuracy.
Surveying maps.
Engineering drafting.
Architecture designs.
Plain scales can only represent two dimensions (e.g., meters and decimeters).
Vernier scales are often used in measuring instruments, while diagonal scales are used in drawing sheets.
C is correct тАФ Diagonal scales allow for the measurement of three successive units of length by utilizing diagonal sub-division.
Always remember: Plain scales measure 2 dimensions; Diagonal scales measure 3 dimensions.