Project Bharatam

Place · fort & measurement site · Pakistan

Nandana, the Salt Range

Also known as Nandana, Nandna, Salt Range, Baba Wali Kandhari

A hill fort in the Salt Range above the Jhelum where al-Bīrūnī, about 1018, measured the angle of dip to the horizon from a hilltop of known height and used it to compute the radius of the earth — arriving at a figure within about half a percent of the modern value.

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Science & mathematicsLearning & science
Function
Military & resistance
Confidence
Established / referenced
Location
32.723, 73.276

Worth knowing

The method needs one measurement and one trigonometric identity, and he says he took it because he could not get to the plains of Iraq where his predecessors had used the longer baseline method. A Ghaznavid frontier fort is therefore the site of the most accurate pre-modern measurement of the size of the earth.

Connections (2)

On these journeys

Sources

Wikipedia, “Nandana Fort”. Al-Bīrūnī, Kitāb Taḥdīd nihāyāt al-amākin, on the dip measurement; S.H. Nasr on al-Bīrūnī's geodesy.

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