# Drawing of a Diagonal Scale

In this article, we will discuss the procedure for drawing a diagonal scale with problem-solving examples.

## Concept, principal & Use of Diagonal Scale

### 1. Terminology:

The Greek word “diagōnios” where  “dia” means “through” and  “gonios” represents  “corners”. The Latin word “Diagonalis” has been coined from it.

### 2. Definition:

A diagonal scale is a length measuring instrument which is composed of a set of parallel straight lines, obliquely crossed by another set of parallel straight lines followed by the principle of similar triangles.

### 3. Principle:

In a diagonal scale, the short length is divided into several parts in which sides are proportionally divided into the required number of equal parts.

### 4. Use:

Diagonal scales are often used to measure small fractions of the unit of measurement in Geographic and engineering drawing to read lengths with higher accuracy. It represents a unit into three different multiples in meters, centimeters, and millimeters as well as other units accordingly.

## Graphical Construction of Diagonal Scale:

Here are my videos on the Graphical Construction of Diagonal Scale. Feel free to check out for a better understanding and concept.

## 9. Conclusion and Homework assignments:

Diagonal scale mostly uses in the cartographic drawing for the geographers and engineering departments for the precise measurement of length. All the above problems and answers will help the concerned fields. Here are some problems for your practice. Few short answer-type questions should be answered in the comment box.

## Homework Assignments:

HQ1. Draw a diagonal scale to read 4.725 Km for the map where R.F 1: 33,000 What will be the minimum length of the scale?

HQ2. Draw a diagonal scale to read 51.57 Km for the map where R.F 1: 4,10,000. Also, calculate the minimum length of the scale?

HQ3. Draw a diagonal scale to read 54.39 KM for the map where R.F 1: 2,50,000. Also, calculate the minimum length of the scale?

HQ4. Draw a diagonal scale to read 20.19 KM for the map where R.F 1: 1,65,000

HQ5. Draw a diagonal scale to read 1/200th part of a cm. as a conventional scale and marked an arrow line on it to show the 6.925 km ground distance for the map with R.F 1:50,000