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Quadrant

 5,000

The Quadrant is a historical astronomical instrument designed to measure the altitude of celestial objects. Using a graduated 0°–90° scale and a freely hanging plumb line, users can determine the position of the Sun, Moon, stars, and other objects in the sky.

Discover the Ancient Science of Measuring the Sky

The Quadrant is one of the most important historical instruments used in observational astronomy. Its simple but effective design allows users to measure the angular altitude of celestial objects above the horizon.

Historical astronomical instruments such as the Quadrant played an important role in the development of astronomy from the time of ancient astronomers through the Islamic Golden Age and later scientific traditions.

Our Quadrant brings this historical method into a modern educational and experimental environment.

How It Works

The instrument features a quarter-circle scale ranging from 0° to 90°. A weighted plumb line is attached to the vertex of the Quadrant.

To take a measurement:

  1. Aim along the edge where the 0° mark begins.
  2. Align the instrument with the celestial target.
  3. Allow the plumb line to hang freely.
  4. Read the value where the plumb line crosses the graduated scale.
  5. The reading represents the zenith distance (Z).
  6. Calculate the altitude using:

Altitude = 90° − Zenith Distance

The manual expresses this as:

θQ = 90° − Z

Key Features

  • Historical astronomical instrument
  • 0° to 90° graduated scale
  • Simple visual alignment system
  • Weighted plumb line for measurement
  • Designed for hands-on astronomical observation
  • Suitable for educational experiments
  • Allows comparison between historical measurements and modern astronomical software

Educational Experience

The Quadrant provides a practical way to understand how astronomers measured the heavens before modern digital instruments.

Students and users can observe celestial objects, record measurements over time, and compare their results with modern astronomical data. The manual specifically uses repeated observations of the Sun and Moon to explore changes in celestial altitude.

Perfect For

  • Astronomy education
  • Physics laboratories
  • Schools and universities
  • Science museums
  • Historical science demonstrations
  • STEM activities
  • Hands-on astronomical experiments

Important Safety Notice

Never look directly at the Sun without a certified solar filter. Direct observation of the Sun without proper protection can cause permanent and severe eye damage

Research and Education

The quadrant was used to measure the altitude of the Sun and Moon at different times. The readings were taken at LUMS, Lahore and compared with Stellarium values. The results for the Sun and Moon are given separately below.
 

Observation and Results of the Sun

To test the quadrant, the Sun was observed on 13th February 2026, from 8:40 AM to 4:20 PM at LUMS, Lahore. Readings were taken every 20 minutes, giving a total of 24 readings. The quadrant readings were compared with Stellarium results. The highest altitude recorded was about 45° at 12:20 PM. The readings then decreased in the afternoon.

Safety: The Sun must never be viewed directly without a certified solar filter, as it can cause serious eye damage.

The Sun plot and the comparison between the Quadrant readings and Stellarium values are shown in the graph below.

 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 

 

 

 

Observation and Results of the Moon

To test the quadrant, the Moon was observed from 20th March to 17th April 2026 at LUMS, Lahore. The readings were taken on different dates during the 1st–29th Shawal 1447 AH period. The quadrant readings were compared with the Stellarium values to check their accuracy. The readings generally followed the expected change in the Moon’s altitude over the observation period.

The Moon’s altitude plot and the comparison between the Quadrant readings and Stellarium values are shown in the graph below.

 

 
 
 

 

 

 

 

 

 

 

 

 

 

 
 

Manual and Documents

User Manual

Urdu Manual

Additional Resources: Altitude: A Historical Perspective — Astrolab

 

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