Ganitasara Sangraha

SR No.: 020800
Original Sutra Author: N/A
Author: Mahaviracharya, M Rangacharya
Publisher: Government of Madras
Publication Year: 1912
Total Pages: 523
Language: Hindi, Sanskrit
Classification: Book_Devnagari
File Size: 22 MB

Page 381

184
GANITASĀRASANGRAHA,
CHAPTER VII.
CALCULATION RELATING TO THE MEASUREMENT
OF AREAS. 1. For the accomplishment of the object held in view, I how again and again with true earnestness to the most excellent Siddhas who have realized the knowledge of all things.
Hereafter we shall expound the sixth variety of calculation forming the subject known by the name of the Measurement of Areas. Aud that is as follows:--
2. (The measurement of) area has been taken to be of two kinds by Jina in accordance with (the nature of) the result, namely, that which is (approximate) for practical purposes and that which is minately accurate. Taking this into consideration, I shall clearly explain this subject.
3. (Mathematical) teachers, who have reached the other shore of the ocean of calculation, have given out well (the various kinds of) areas as consisting of those that are trilateral, quadrilateral and curvi-linear, being differentiated into their respective varieties.
4. A trilateral area is difforentiated in three ways; a quadrilateral one in five ways; and a curvilincar one in eight ways. All the remaining (kinds of) areas are indeed variations of the varieties of these different kinds of areas).
5. Learned men say that the trilateral area may be cynilateral, isosceles or scalone, and that the quadrilateral area also may be
5 and 6. The various kinds of enclosed areas inentioned in these illustrated below :--
anzus are
Samatribhujal Equilateral
trilateral ligure.
Dvisaputribhuja - Isosceles trilateral
figure
Vişaniatribhuja = Scalcue
trilateral figure.