{"product_id":"geometrical-researches-on-the-theory-of-parallels-9781602064676","title":"Geometrical Researches on the Theory of Parallels","description":"\"Lobachevsky believed that another form of geometry existed, a non-Euclidean geometry, and this 1840 treatise is his argument on its behalf. Line by line in this classic work he carefully presents a new and revolutionary theory of parallels, one that allows for all of Euclid s axioms, except for the last. This 1891 translation includes a bibliography and translator George B. Halsted s essay on elliptic geometry. Russian mathematician NICHOLAS LOBACHEVSKY (1792 1856) is best remembered as the founder (along with Janos Bolyai) of non-Euclidean geometry. He is also the author of New Foundations of Geometry (1835 1838) and Pangeometry (1855).\"\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Nicholas Lobachevski\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cosimo Classics\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 05\/01\/2007\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 52\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.17lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 8.50h x 5.50w x 0.12d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9781602064676","brand":"Cosimo Classics","offers":[{"title":"Default Title","offer_id":45133412958345,"sku":"9781602064676","price":16.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0636\/9240\/6921\/files\/img_b780495e-e22d-4d51-a014-3d9e08073e41.jpg?v=1767678086","url":"https:\/\/sonsanddaughtersbooks.com\/products\/geometrical-researches-on-the-theory-of-parallels-9781602064676","provider":"Sons and Daughters Books","version":"1.0","type":"link"}