Ganitasara Sangraha of Mahavira

SR No.: 011112
Original Sutra Author: N/A
Author: Rangacharya
Publisher: Rangacharya
Publication Year: 1912
Total Pages: 531
Language: English
Classification: Book_English
File Size: 24 MB

Page 386

184
GANITASĀRASANGRAHA.
CHAPTER VII.
CALOULATION RELATING TO THE MEASUREMENT
OF AREAS.
1. For the accomplishment of the object held in view, I bow again and again with true earnostness to the most excellent Siddhas who have realized the knowledge of all things.
Hereafter we shall expound the sixth variety of calculation forining the subject known by the name of the Measurement of Areas. And that is as follows:--
2. (The measurement of) area has been takou to be of two kinds by Jiun in avvordance with the nature of) the result, namely, that which is (approximate) for practical purposes and that wbicb is minutely accurate. Taking this into consideration, I shall clearly explain this subject.
3. (Mathematical) teachers, who have reached the other shore of the coug of calculation, have given out well (the various kinds of) areas as cousisting of those that are trilatorul, quadrilateral aud curvi-linear, being differentiated into their respective varieties.
4. A trilateral arou is differentiated in three ways; a quadrilatoral one in five ways; and a curvilincar one in eigh ways. All the romaining (kinds of) areas are indood variations of tho varieties of these (ditferent kinds of areas).
5. Learned men sily that the trilateral arou may be equilatoral, isosceles or scalone, and that the quadrilateral aren also may be
3 and 8. "The various kinds of unclosed areas gentioned in these lansas are illustrated below:---
Swmatribhuja = Equilaterul
trilnteral figure.
Dvissmatribhaja= laundeles trilatural
Agaro
Visamatrivhuja = Boulene
trilloral figaro.