{"product_id":"2940016556871","title":"Spherical Trigonometry (illustrated)","description":"The present work is constructed on the same plan as my treatise on Plane Trigonometry, to which it is intended as a sequel; it contains all the propositions usually included under the head of Spherical Trigonometry, together with a large collection of examples for exercise. In the course of the work reference is made to preceding writers from whom assistance has been obtained; besides these writers I have consulted the treatises on Trigonometry by Lardner, Lefebure de Fourcy, and Snowball, and the treatise on Geometry published in the Library of Useful Knowledge. The examples have been chiefly selected from the University and College Examination Papers.\u003cbr\u003e\u003cbr\u003eIn the account of Napier’s Rules of Circular Parts an explanation has been given of a method of proof devised by Napier, which seems to have been overlooked by most modern writers on the subject. I have had the advantage of access to an unprinted Memoir on this point by the late R. L. Ellis of Trinity College; Mr. Ellis had in fact rediscovered for himself Napier’s own method. For the use of this Memoir and for some valuable references on the subject I am indebted to the Dean of Ely.\u003cbr\u003e\u003cbr\u003eConsiderable labor has been bestowed on the text in order to render it comprehensive and accurate, and the examples have all been carefully verified; and thus I venture to hope that the work will be found useful by Students and Teachers.\u003cbr\u003e\u003cbr\u003eI. TODHUNTER.\u003cbr\u003e\u003cbr\u003e\u003cbr\u003eCONTENTS\u003cbr\u003eI Great and Small Circles\u003cbr\u003e\u003cbr\u003eII Spherical Triangles\u003cbr\u003e\u003cbr\u003eIII Spherical Geometry\u003cbr\u003e\u003cbr\u003eIV Relations between the Trigonometrical Functions of the Sides and the Angles of a Spherical Triangle\u003cbr\u003e\u003cbr\u003eV Solution of Right-angled Triangles\u003cbr\u003e\u003cbr\u003eVI Solution of Oblique-Angled Triangles\u003cbr\u003e\u003cbr\u003eVII Circumscribed and Inscribed Circles\u003cbr\u003e\u003cbr\u003eVIII Area of a Spherical Triangle. Spherical Excess\u003cbr\u003e\u003cbr\u003eIX On certain approximate Formula\u003cbr\u003e\u003cbr\u003eX Geodetical Operations\u003cbr\u003e\u003cbr\u003eXI On small variations in the parts of a Spherical Triangle\u003cbr\u003e\u003cbr\u003eXII On the connection of Formula in Plane and Spherical Trigonometry\u003cbr\u003e\u003cbr\u003eXIII Polyhedrons\u003cbr\u003e\u003cbr\u003eXIV Arcs drawn to fixed points on the Surface of a Sphere\u003cbr\u003e\u003cbr\u003eXV Miscellaneous Propositions\u003cbr\u003e\u003cbr\u003eXVI Numerical Solution of Spherical Triangles","brand":"Todhunter","offers":[{"title":"Default Title","offer_id":47071331647728,"sku":"2940016556871","price":2.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/2940016556871_p0.jpg?v=1763656824","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/2940016556871","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}