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

गणितसारसंग्रह ७७
two great divisions of the world as then known. Rather than
assert that the Oriental algebra was influenced by the Occidental
we should say that the reverse was the case. Bagdad, subjected
to the influence of both the East and the West, transmitted
more to Europe than it did to India. Leonardo Fibonacci, for
example, shows much more of the Oriental influence than Bhāskara,
who was practically his contemporary, shows of the Occidental.
Professor Raṅgācārya has, therefore, by his great contribution
to the history of mathematics confirmed the view already taking
rather concrete form, that India developed an algebra of her own;
that this algebra was set forth by several writers all imbued with
the same spirit, but all reasonably independent of one another; that
India influenced Europe in the matter of algebra, more than it was
influenced in return; that there was no native geometry really
worthy of the name; that trigonometry was practically non-existent
save as imported from the Greek astronomers; and that whatever of
geometry was developed came probably from Mesopotamia rather
than from Greece. His labours have revealed to the world a writer
almost unknown to European scholars, and a work that is in many
respects the most scholarly of any to be found in Indian mathematical
literature. They have given us further evidence of the fact that
Oriental mathematics lacks the cold logic, the consecutive
arrangement, and the abstract character of Greek mathematics, but
that it possesses a richness of imagination, an interest in
problem-setting, and poetry, all of which are lacking in the treatises of
the West, although abounding in the works of China and Japan. If,
now, his labours shall lead others to bring to light and set forth mor
and more of the classics of the East, and in particular those of early
and mediaeval China, the world will be to a still larger extent his
debtor.

प्रस्तावना की अनुक्रमणिका
अंकगणित—3, 4, 6, 7 , 10, 15.
अंक-ज्योतिष—4.
अनन्त राशियों का गणित—9.
अनुकल कलन—( Integral Calculus ) 4, 5.
अनुयोग सूत्र—7.
अपरिमेय—( Irrational ) 4.
अमोघवर्ष—1, 10.
अर्थमितिकी—( Arithmetica ) 4, 18.
अर्थसंदृष्टि—9, 20.
अलौकिक गणित—9.
अल्पबहुत्व—( Comparability ) 26, 34.
अविभाज्यों की रीति—( Method of indivisibles ) 4.
असद्भास —( Paradoxes ) 4, 26.
अहिंसा—12, 13, 14, 17, 30.
आमिस—( Ahmes ) 3.
आर्किमिडीज़—4, 5.
आर्यभट—7.
इटली—2, 4.
उद्स्थैतिकी—( Hydrostatics ) 5, ( स्थैतिकी )—5.
कर्म सिद्धान्त—16, 17.
कापरनिकस—5.
काल्पनिक राशि—( Imaginary quantity ) 11.
कुन्तल—( Spiral ) 5.
कुफू—( Khufu ) 13, 14, 16, 17.
केंटर, जार्ज—9, 15, 16.
कूट स्थिति रीति—( Rule of false position ) 3.
गणितसारसंग्रह—1, 9, 16.
गणितीय विश्लेषण—( Mathematical Analysis ) 2, 3, 4, 10.
ग्रीक—4, 5, 7, ( यूनानी )—7, 14, 15.
गोम्मटसार टीका—34.
चतुर्गति ( चदुचंकमण )—16, 23.
चतुर्भुज—11, 15, 20.

गणितसारसंग्रह ७९
चलन कलन—( Differential calculus ) 5.
चीन—21, 30, 31, 32, 33, 34.
ज़ीनो ( Zeno ) 4, 26, 27, 28, 29. ( तर्क )—27, 28.
ज्योतिर्विज्ञान—3, 6.
ज्योतिष—8, 14, 15, 16, 18, 22, 25, ( पटल ) 12, ( वेदांग )—6, 7.
टॉलेमी—18, 30.
टोडरमल—20, 26, 34.
डाओफेंटस—5, 11, 18.
डेडीकेन्ड—4.
तीर्थंकर—12, ( वर्द्धमान महावीर ) 13, 14, 18, 19, 20, 23, 29, 30, 32, 34.
तिलोयपण्णत्ती—17, 19, 21, 26, 30, 34, ( त्रिलोकप्रज्ञप्ति )—7, 15.
त्रिभुज—2, 3, 4, 5, 11, 20, 22.
त्रिकोणमिति—( Trigonometry )—7, 8.
थेलीज्—4, 13, 18, 21, 22.
दशमलवपद्धति—( Decimal system ) 2, 3, 7, ( दाशमिक ) 18, 19, 20.
निःशेषण विधि—( Method of exhaustion ) 4.
नेब्युकडनेज़र—20.
नेमिचन्द्रार्य—15.
परमाणु—( Indivisible ultimate particle ) 26, 27, 28, 29, 32.
परिधि व्यास अनुपात ( π )—2, 3, 15.
पेप्स— 5
पिथेगोरस—3, 4, 5, 12, 13, 16, 18, 19, 20, 21, 23, 24, 25, 26, 34.
पिरेमिड—( स्तूप )—3, 4, 16, 17.
पेपायरस ( मास्को )—4, 15, ( रिन्ड )—3.
प्रदेश ( Point )—26, 28, 29.
फलनीयता—( Functionality ) 2.
बीजगणित—( Algebra ) 3, 6, 7, 10, 11, 12, 18, 20.
बेबिलन—2, 3, 12, 15, 17, 20, 21, 22, 30.
ब्रह्मगुप्त—8, 10, 11, 12.
ब्राह्मण साहित्य—6.
ब्राह्मी—6.
भारत—5, 12, 13, 15, 19, 20, 26, 30, 32, 33.
भास्कर—9.
महावीराचार्य—1, 9, 10, 11, 12, 16.
माया गणना—7.
मिस्र—3, 4, 12, 13, 14, 15, 16, 17, 22, 23.

८० गणितसारसंग्रह
मोहेनजोदड़ो—6.
यूक्लिड—4, 5.
यूडो—4.
यूनान—12, 13, 16, 17, 18, 19, 21, 22, 31, 34.
रज्जु—( Rope ) 3, 5, 15, 16.
रूपक संख्यायें—( Figurate numbers ) 4.
राशि सिद्धान्त—( Set theory ) 13, 20.
रेखागणित—( Geometry ) 4, 5.
बक्षाली ( भोजपत्र )—7, 11.
वीरसेनाचार्य—9, 15, 16, 21, 28.
शांकव गणित—( Conics ) 2, 4, 5.
शून्य—7, 10, 18, 34.
षट्खंडागम—9, 16, 19, 24, 26.
षाष्ठिका—( Sexagesimal ) 2, 18, 19, 20, 21.
समय—( Instant ) 26, 28, 29.
समीकरण—( Equation ) 2, 5, 6, 10, 11, 20.
सल्लागा ( गण )—9, ( अर्थ ) ( Logarithm )—19.
साक्राटीज—27.
सुमेर—2, 5, 18.
स्थान मान ( Place value )—3, 7, ( अर्हा )—10, 18, 19, 20.
स्फिंक्स—( Sphinx ) 13, 14.
हिपारकस—5.
हिरोडोटस—14, 16.

शुद्धि-पत्र
पृष्ठ पंक्ति अशुद्ध शुद्ध
प्रस्तावना १ ९ बेबीलोनिया बेबिलन
२ ११ बेबीलोन ”
२ १७ ” ”
३ ४ ” ”
३ ८ ” ”
३ १५ पैपीरियों पेपायरियों
३ २१ पेपिरस पेपायरस
४ ३ ” ”
४ ११ आर्किमिडीज़ आर्किमीडीज़
४ १६ पैथेगोरस पिथेगोरस
४ १७ ” ”
४ २२ ” ”
४ २३ ” ”
५ १ ” ”
५ ३ आर्किमिडीज़ आर्किमीडीज़
५ ८ अतिपरवलज अतिपरवलयज
५ १५ आर्किमिडीज़ आर्किमीडीज़
५ १६ हिपरकस हिपारकस
५ २५ डायोफेंटस डाओफेंटस
५ २८ मैरथान मैराथान
५ ३० बेबीलोन बेबिलन
८ १६ Peleian Pellian
९ २३ सम् सन्
११ १ बख्शाली बक्षाली
१५ ३३ Health Heath
२२ २२ Pythagorus Pythagoras
२४ ८ ” ”
२४ २९ ” ”
२५ ५ ” ”
२५ १३ ” ”
२५ २० ” ”
२६ ११ ” ”
२६ १५ ” ”

८२ गणितसारसंग्रह
पृष्ठ पंक्ति अशुद्ध शुद्ध
31 ३४ Civilization Civilisation
ग्रंथ ३ गाथा १४ बन्घेन्द्र° बन्धेन्द्र°
३ गाथा २३ गुणकै° गणकै°
४ गाथा २७ लीक्षा लिक्षा
५ गाथा ३३ संख्या तावलि° संख्यातावलि°
५ गाथा ३३ दल पल
६ गाथा ४४ फलशतद्वयम् पलशतद्वयम्
७ गाथा ५४ युगलयुग्मं युगलँयुग्मं
८ गाथा ७० संझा संज्ञाः
३७ २२ निम्रखित निम्नलिखित
११८ ६ भूलभूत मूलभूत
१८१ १४ विषय की छः प्रकार छठवें विषय
१९२ ९ आबाघा आबाधा
२०० १ अत्रोद्देशकः —
२०५ १ मिश्रक क्षेत्रगणित
२२१ ८ आदि से आदि लेकर गणनानीत
२६८ १६ इण्डुको इण्डुक
परिशिष्ट ११ ४ Ādhak Āḍhaka
११ ६ Adhvān Adhvāna
११ १५ Ādidhan Ādidhana
११ २७ Amōghvarsa Amōghavarṣa
१२ १२ Tirthnkar Tīrthaṅkara
१३ १८ Bhāgāpāvaha Bhāgāpavāha
१३ १९ भागसम्वर्ग भागसंवर्ग
१४ १० Crore crore
१५ २४ by be
१५ ३० Tiirthankara Tīrthaṅkara
१५ ३४ Tirthankara Tīrthaṅkara
२० २१ प्रपूर्णिका प्रपूरणिका
३८ १ परिशिष्ट-५ परिशिष्ट-२ अ
३९ ११ Ferminalia Terminalia
३९ ३० संचरित संरचित

JĪVARĀJA JAINA GRANTHAMĀLĀ

1. Tiloyapaṇṇatti of Yativṛṣabha (Part I, Chapters 1-4) : An Ancient
   Prākrit Text dealing with Jaina Cosmography, Dogmatics etc.
   Prākrit Text authentically edited for the first time with various
   Readings, Preface & Hindi Paraphrase of Pt. Balachandra by
   Drs. A. N. Upadhye and H. L. Jain. Published by Jaina Saṁskṛti
   Saṁrakṣaka Saṁgha, Sholapur (India). Double Crown pp. 6-38-
2. Sholapur, 1943. Price Rs. 12·00. Second Edition, Sholapur,
3. Price Rs. 16·00.
4. Tiloyapaṇṇatti of Yativṛṣabha (Part II, Chapters 5-9). As above,
   with Introductions in English and Hindī, with an alphabetical
   Index of Gāthās, with other Indices (of Names of works mentioned,
   of Geographical Terms, of proper Names, of Technical Terms, of
   Differences in Tradition, of Karaṇasūtras and of Technical Terms
   compared) and Tables (of Nāraka-jīva, Bhavana-vāsī Deva,
   Kulakaras, Bhāvana Indras, Six Kulaparvatas, Seven Kṣetras,
   Twentyfour Tīrthaṅkaras, Age of the śalākāpurṣas, Twelve Cakra-
   vartins, Nine Nārāyaṇas, Nine Pratiśatrus, Nine Baladevas,
   Eleven Rudras, Twentyeight Nakṣatras, Eleven Kalpātīta, Twelve
   Indras, Twelve Kalpas and Twenty Prarūpaṇās). Double Crown
   pp. 6-14-108-529 to 1032, Sholapur, 1951. Price Rs. 16·00.
5. Yaśastilaka and Indian Culture, or Somadeva's Yaśastilaka and
   Aspects of Jainism and Indian Thought and Culture in the Tenth
   Century, by Professor K. K. Handiqui, Vice-Chancellor, Gauhati
   University, Assam, with Four Appendices, Index of Geographical
   Names and General Index. Published by J. S. S. Sangha, Sholapur.
   Double Crown pp. 8-540. Sholapur, 1949. Price Rs. 16·00.
6. Pāṇḍavapurāṇam of Śubhacandra : A Sanskrit Text dealing with
   the Pāṇḍava Tale. Authentically edited with various Readings,
   Hindi Paraphrase, Introduction in Hindi etc. by Pt. Jinadās.
   Published by J. S. S. Sangha, Sholapur. Double Crown pp.
   4-40-8-520. Sholapur, 1954. Price Rs. 12·00.

८४ गणितसारसंग्रह
4. Prākṛta-śabdānuśāsanam of Trivikrama with his own commentary :
Critically Edited with Various Readings, an Introduction and
Seven Appendices ( 1. Trivikrama's Sūtras; 2. Alphabetical Index
of the Sūtras; 3. Metrical Version of the Sūtrapāṭha; 4. Index of
Apabhraṁśa Stanzas; 5. Index of Deśya words; 6. Index of
Dhātvādeśas, Sanskrit to Prākrit and vice versa; 7. Bharata's
Verses on Prākrit ) by Dr. P. L. VAIDYA, Director, Mithilā
Institute, Darbhanga. Published by the J. S. S. Sangha, Sholapur.
Demy pp. 44-478. Sholapur, 1954. Price Rs. 10.00.
5. Siddhānta-sārasaṁgraha of Narendrasena : A Sanskrit Text dealing
with Seven Tattvas of Jainism. Authentically Edited for the first
time with various Readings and Hindi Translation by Pt. JINADAS
P. PHADKULE. Published by the J. S. S. Sangha, Sholapur. Double
Crown pp. about 300. Sholapur 1957. Price Rs. 10 00.
6. Jainism in South India and Some Jain Epigraphs : A learned
and well documented Dissertation on the career of Jainism in the
South, especially in the areas in which Kannada, Tamil and
Telugu Languages are spoken, by P. B. DESAI, M. A., Assistant
Superintendent for Epigraphy, Ootacamund. Some Kannaḍa
Inscriptions from the areas of the former Hyderabad State and
round about are edited here for the first time both in Roman and
Devanāgarī characters, along with their critical study in English
and Sārānuvāda in Hindī. Equipped with a List of Inscriptions
edited, a General Index and a number of illustrations. Published
by the J. S. S. Sangha, Sholapur. Sholapur 1957. Double Crown
pp. 16-456. Price Rs. 16.00.
7. Jambūdīvapaṇṇatti-Saṁgaho of Padmanandi : A Prākrit Text
dealing with Jaina Geography. Authentically edited for the first
time by Drs. A. N. UPADHYE and H. L. JAINA, with the Hindī
Anuvāda of Pt. BALACHANDRA. The Introduction institutes a careful
study of the Text and its allied works. There is an Essay in Hindi
on the Mathematics of the Tiloyapaṇṇatti by Prof. L. C. JAIN,
M. Sc., Jabalpur. Equipped with an Index of Gāthās, of Geogra-
phical Terms and of Technical Terms, and with additional
Variants of Amera Ms. Published by the J. S. S. Sangha, Sholapur.
Double Crown pp. about 500. Sholapur, 1957.

गणितसारसंग्रह ८५
8. Bhaṭṭāraka-sampradāya : A History of the Bhaṭṭāraka Pīṭhas
especially of Western India, Gujarat, Rajasthan and Madhya
Pradesh, based on Epigraphical, Literary and Traditional sources,
extensively reproduced and suitably interpreted, by Prof. V.
JOHRAPURKAR, M. A., Nagpur. Demy pp. 14 + 24 + 326, Sholapur,
1958. Price Rs. 8/-.
9. Prābhṛtādisaṁgraha : This is a presentation of topic-wise
discussions compiled from the works of Kundakunda, the
Samayasāra being fully given. Edited with Introduction and
Translation in Hindi by: Pt. Kailashchandra Shastri, Varanasi.
Published by the J. S. S. Sangha, Sholapur, Demy pp.
10-106-10-288. Sholapur 1960. Price Rs. 6·0.
10. Pañcaviṁśati of Padmanandi : ( c. 1136 A. D. ). This is a collection
of 26 prakaraṇas ( 24 in Sanskrit and 2 in Prākrit ), small and
big, dealing with various religious topics : religious, spiritual,
ethical, didactic, hymnal and ritualistic. The text, along with
an anonymous commentary, critically edited by Dr. A. N. Upadhye
and Dr. H. L. Jain with the Hindi Anuvāda of Pt. Balachandra
Shastri. The edition is equipped with a detailed Introduction
shedding light on the various aspects of the work and
personality of the author both in English and Hindi. There
are useful Indices. Printed in the N. S. Press, Bombay. Double
crown pp. 8-64-284. Sholapur, 1962. Price Rs. 10/-.
11. Ātamānuśāsana of Guṇabhadra (middle of the 9th century A. D. ).
This is a religio-didactic anthology in elegant Sanskrit verses
composed by Guṇabhadra, the pupil of Jinasena, the teacher of
Rāṣṭrakūta Amoghavarṣa. The Text critically edited along with
the Sanskrit commentary of Prabhācandra and a new Hindi
Anuvāda by Dr. A. N. Upadhye, Dr. H. L. Jain and Pt.
Balachandra Shastri. The edition is equipped with Introductions
in English and Hindi and some useful Indices. Demy pp.
8-112-260, Sholapur, 1962. Price Rs. 5/-.
12. Gaṇitasāra Saṁgraha of Mahāvīrācārya ( c.9th century A. D.) :
This is an important treatise in Sanskrit on early Indian
mathematics composed in an elegant style with a practical

८६ गणितसारसंग्रह
approach. Edited with Hindi Translation by Prof. L. C. Jain,
M. Sc., Jabalpur. Double Crown pp. 17 + 34 + 282 + 82, Sholapur,
1963. Price Rs. 12/-.
13. Lokavibhāga of Simhasūri : A Sanskrit digest of a missing ancient
Prakrit text dealing with Jaina Cosmography. Edited for the
first time with Hindi Translation by Pt. Balachandra Shastri.
Double Crown pp. 8-52-256, Sholapur 1962. Price Rs. 10/-.
14. Puṇyāsrava-kathākośa of Rāmachandra : It is a collection of
religious stories in simple snd popular Sanskrit. The text
authentically edited by Dr. A. N. Upadhye and Dr. H. L. Jain with
the Hindi Anuvāda of Pt. Balachandra Shastri. (To be out soon).
15. Jainism in Rājasthān : This is a dissertation on Jainas and Jainism
in Rajasthan and round about area from early times to the
present day, based on epigraphical, literary and traditional
sources by Dr. Kailashchandra Jain, Ajmer. (To be out soon).
16. Viśvatattva-prakāśa of Bhāvasena ( 14th century A. D. ) : It is
a treatise on Nyāya. Edited with Hindi Summary and
Introduction in which is given an authentic Review of Jaina
Nyāya literature by Dr. V. P. Johrapurkar, Nagpur. (To be out
soon).
Works in preparation
Subhāṣita-saṁdoha, Dharma-parīkṣā, Jñānārṇava, Kathākośa
of Sricandra, Dharmaratnākara, etc.
For copies write to :
Jaina Samskrti Samrakshaka Sangha,
Santosh Bhavan, Phaltan Galli,
Sholapur ( C. Rly ) : India