Verse 8 · The Rules for resolving the questions on Time, the position of places, and directions. · Surya Siddhanta · siva.sh

siva.sh/surya-siddhanta/3/8

शङ्कुच्छायाकृतियुतेर् मूलम् कर्णो +अस्य वर्गतः । प्रोज्झ्य शङ्कुकृतिम् मूलम् छाया शङ्कुर् विपर्ययात् ॥

sanskrit

The square-root of the sum of the squares (of the lengths) of the Gnomon and the given shadow is called the hypothenuse of the shadow: from the square of the hypothenuse subtract the square of the Gnomon; the square-root of the remainder will be equal to the shadow; and the length of the Gnomon is to be known (from the shadow) by the inverse calculation.

english translation

zaGkucchAyAkRtiyuter mUlam karNo +asya vargataH । projjhya zaGkukRtim mUlam chAyA zaGkur viparyayAt ॥

hk transliteration by Sanscript

siva.sh/surya-siddhanta/3/8

शङ्कुच्छायाकृतियुतेर् मूलम् कर्णो +अस्य वर्गतः । प्रोज्झ्य शङ्कुकृतिम् मूलम् छाया शङ्कुर् विपर्ययात् ॥

sanskrit

The square-root of the sum of the squares (of the lengths) of the Gnomon and the given shadow is called the hypothenuse of the shadow: from the square of the hypothenuse subtract the square of the Gnomon; the square-root of the remainder will be equal to the shadow; and the length of the Gnomon is to be known (from the shadow) by the inverse calculation.

english translation

zaGkucchAyAkRtiyuter mUlam karNo +asya vargataH । projjhya zaGkukRtim mUlam chAyA zaGkur viparyayAt ॥

hk transliteration by Sanscript