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Sanatan Dharma

सनातन धर्म — Hindu Scripture Knowledge Base

Baudhayana's Pythagorean Theorem — Sulba Sutra

Baudhayana Sulba Sutra · 1 · Verse 48

kalpasulbabaudhayanapythagorean-theoremgeometrymathematicsancient-science

Sanskrit Original

दीर्घचतुरश्रस्याक्ष्णयारज्जुः पार्श्वमानी तिर्यग्मानी च यत् पृथग्भूते कुरुतस्तदुभयं करोति।

dīrghacaturaśrasyākṣṇayārajjuḥ pārśvamānī tiryagmānī ca yat pṛthagbhūte kurūtas tad ubhayaṃ karoti |

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The diagonal of a rectangle produces (an area) equal to what both the length and the breadth produce separately (i.e., when used as sides of squares). This is the Śulba Sūtra statement of what the West calls the Pythagorean theorem — dating to ~800 BCE, approximately 250 years before Pythagoras.