सामग्री पर जाएँ
सर्वकोश
गणितसारसंग्रह (महावीराचार्य - प्रो. लक्ष्मीचन्द्र जैन सविस्तार हिन्दी अनुवाद सटीक)

गणितसारसंग्रह (महावीराचार्य - प्रो. लक्ष्मीचन्द्र जैन सविस्तार हिन्दी अनुवाद सटीक)

Ganitasarasangraha of Mahaviracharya with Hindi Translation

महावीराचार्य (अनुवादक: प्रो. एल. सी. जैन) द्वारा

DevanagariHindipublished421 पृष्ठ

पृष्ठ 52, कुल 421 में से

संदर्भ में पढ़ें
पृष्ठ 52

प्रस्तावना 33
आगे,
“One might take the theories of atomism as an example. Its
story in our own classical civilization, beginning with such men as
Leucippus and Democritus of Abdera, of the -5th century, and
culminating in Epicurus and Lucretius of the late -3rd and early
-1st, is well known to us.ʰ Indian atomism seems to be later in date,
the Jaina System of Umāsvāti showing its greatest strength about

  • 50, and the Vaiśeshika darśana (theory) of Kaṇāda flourishing
    in the second half of the + 2nd Centuryⁱ. But there are reasons, as
    Reyʲ urges, for believing that the roots of the theory of paramānu
    (atoms) go much further back in the history of Indian thought.
    Thirdly, in Chinese physics atomism never arose, as we shall seeᵃ,
    but the geometry of the Mo Ching¹ (the Mohist Canon, which must
    have been put together somewhere in the neighbourhood of - 370)
    seems to define a point as a line which has been cut so short that it
    cannot be cut any furtherᵇ.”*
    (३) आगे यह जानते हुए कि चीन और भारत में बौद्ध धर्म सम्बन्धी आदान प्रदान
    का प्रारम्भ ईसा की चौथी सदी से हुआ, हम इससे पूर्व का एक ऐसा उल्लेख भी पाते हैं जो सम्भवतः
    भारत से सम्बन्धित हो,
    “The Huai Nan Tzu book (c. - 200) containsᶜ a remark that
    Yü the Great ‘when he went to the country of the Nacked People,
    left his clothes before entering it and put them on when he came
    out, thus showing that wisdom adapts itself to circumstances.’”‡
    (४) इसमें सन्देह नहीं कि चीनी गणित का प्रत्यक्ष सम्बन्ध भारतीय गणित के साथ दिखाई
    देता है, पर यह काल वर्द्धमान महावीर के शताब्दियों पश्चात् का है :
    “The proof of the Pythagoras Theorem used by Chao
    Chün-Chhing² in his + 2nd-century commentary on the Chou Pei³
    (the oldest mathematical classic) appears again in the work of Bhāskar
    (+ 1150). The rule for the area of the segment of a circle given in
    the Chiu Chang Suan Shu⁴ (Nine Chapters on the Mathematical Art)
    of the + 1st-century appears again in the + 9th-century work of
    Mahāvīra. Indeterminate problems of the Sun Tzu Suan Ching⁵
    (Master Sun’s Mathematical Manual) of the + 3rd century are found
    in Brahmagupta (+ 7th century). Āryabhaṭa (+ 5th century) has
  • Ibid. p. 155.
    ‡ Ibid. p. 206.