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Sia ? 3 years, 1 month ago
विज्ञान (Science) का शाब्दिक अर्थ - वस्तु का व्यवस्थित ज्ञान है। विज्ञान शब्द की उत्पत्ति लैटिन भाषा के शब्द Skientia से हुई है , जिसका अर्थ है - ज्ञान या जानना। ... इससे यह स्पष्ट होता कि प्रकृति में पाई जाने वाली वस्तुओं एवं इनमें होने वाली अनेक घटनाओं का अध्ययन या ज्ञान प्राप्त करना ही विज्ञान है।
Aaditya Kumar 2 years, 10 months ago
Posted by Satyam Kr. Thakur 3 years, 1 month ago
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Sia ? 3 years, 1 month ago
दिया है : सर्वांगसम वृत्तों की दो जीवाएँ AB तथा CD इस प्रकार है कि इन जीवाओं द्वारा वृत्तों के केंद्र O तथा O’ पर अंतरित कोण बराबर होते हैं।
सिद्ध करना है : AB = CD
उपपत्ति :
ΔAOB तथा ΔCO'D में,
∠AOB = ∠CO'D (दिया है)
OA = O'C (सर्वांगसम वृत्तों की त्रिज्या)
OB = O'D (सर्वांगसम वृत्तों की त्रिज्या)
∴ ΔAOB ≅ ΔCO'D (SSS सर्वांगसमता नियम द्वारा)
AB = CD (CPCT द्वारा)
अतः सर्वांगसम वृत्तों की जीवाएँ उनके केन्द्रों पर बराबर कोण अंतरित करें, तो जीवाएँ बराबर होती हैं।
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Menka Sarkar 2 years ago
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