Combining Two Squares Into One
Baudhayana Sulba Sutra · 1 · Verse 51
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Sanskrit Original
द्वे समचतुरश्रे समासेतुमिच्छन् — प्रथमस्य करणीम् आनेत्य। द्वितीयस्य पार्श्वेन छिन्द्यात् — यच्छिष्टे तदपच्छेदे। अपच्छेदे कर्ण्या — तद् वर्गद्वयसमम् चतुरश्रम्॥
dve samacaturaśre samāsetum icchan — prathamasya karaṇīm ānetya | dvitīyasya pārśvena chindyāt — yac chiṣṭe tad apacchede | apacchede karṇyā — tad vargadvayasamam caturaśram ||
🤖 AI GeneratedAI Generated
To combine two squares into one: take the diagonal of the first square; from it, cut off the side of the second square; with the remainder as the new diagonal — you get a square equal to both original squares combined. This is the geometric proof of a² + b² = c² using actual square construction.