34 position, the discovery of which the Greeks asoribed to Pytdha goras, was known to the old Acharyas, in its essence at least.* It should not at the same time be ignored that Herodotus, the well known Greek historian, attributes the invention of the soienue to the Egyptians. Herodotus, the earliest authority on the subject, assigma the origin of bhe art to the necessity of measuring lands in Egypt for the purposes of taxation in the eign of Sesostris about 1416-1857 B. c. (Eero B. II Chap109). This is probable as not only resting on such authority, but also because a priori we should expect the necessity of measuring lands to arise with property in land and to give birth to the art of the state of the science, however, among the Chaldeans or Egyptians, we have no record + The fact is that very minute rules are laid down in bhe Taittiriya Saihita and the Brahmamas for the arrangement of the sacrificial ground and the construction of altars and in the Baudhayana and Apastamba | for the shape of the bricke required for thhe construction of altarsh and that bhe S'ulva Sutras which form the 80%h section of the Kalpa Shtra of Apastamba and which are assigned by Dr. Thibaut to high antiquityx teach geometrical principles for the construction of altars for the S'rauta sacrifices and contain a number of geometrical rules, such as that of finding bhe Journal ot the Asiatic Booiety ot Bengal, 1875, p. 232 + Chamber noyclopedia. p. 700.
- ‘किं च ततस्तनुक्रियाकाण्डप्रस्तावे तारामबाणप्रमितानासुवचरनाचातुर्यचर्यायण
अश्वसूत्राविमसिद्धानां नाणविषकुडवेदिकानों तवैव काम्यायनौतसूत्रभाष्याविभधितानां चुङवकूोंडपाणीपुरोडासपात्रीश्तावदानामुपवेषाग्तनकटसाक्षित्रहरणयवर्तादिपात्राणां निर्माणमतिपर्वाचनापि गणितबिवासवः स्फुटं प्रतिफलति । Introduction to बेन्नमिति by s'astbri Durgaprasada Dviveda 8 (Besides the quaint and clumay tarminology otten employed for the e pression of very simple operations—for instance in the rules for the addition and anbtraction ot squares—is another proot of the high antiquity of these rules of the cord. 'wournal ot bhe Asiatio Society of Bengal 1876, p. । .
