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An Elementary Treatise on Conic Sections by the Methods of Co-Ordinate Geometry
No preview available - 2019
2hxy angular points asymptotes axes axis BOOK called Cambridge centre chord circle circumscribing co-ordinates coincident College common condition confocal conic conjugate diameters constant corresponding Crown 8vo curve described directrix distance drawn eccentricity Edition ellipse envelope equal EXAMPLES extremities Fellow find the equation fixed point foci focus four points given points given straight line gives Hence HISTORY Illustrations imaginary inscribed late length Let the equation line joining locus meet middle point normals Notes obtain opposite origin pair parabola parallel pass perpendicular point of intersection points of contact polar pole positive preparation Professor projection prove ratio reciprocal rectangular hyperbola referred represent respect revised right angles satisfy School Series shew sides similar square straight line Take tangents touch triangle University values zero
Page 37 - NEWTON'S PRINCIPIA, With Notes and Illustrations. Also a collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA Third Edition. 8vo.
Page 23 - Prize Essay for 1877. 8vo. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Page 100 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.
Page 20 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.
Page 71 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches. New Edition.
Page 40 - LESSONS IN ELEMENTARY CHEMISTRY, INORGANIC AND ORGANIC. By HENRY E. ROSCOE, FRS, Professor of Chemistry in Owens College, Manchester. With numerous Illustrations and Chromo-Litho of the Solar Spectrum, and of the Alkalies and Alkaline Earths. New Edition. Fcap. 8vo. 4*. 6d. , '* As a standard general text-book it deserves to take a leading place." — SPECTATOR. *' We unhesitatingly pronounce it the best of all our elementary treatises on Chemistry,
Page 57 - HISTORICAL OUTLINES OF ENGLISH ACCIDENCE, comprising Chapters on the History and Development of the Language, and on Word-formation.
Page 69 - MANUAL; or, the Church Catechism Illustrated and Explained, for the Use of Clergymen, Schoolmasters, and Teachers. By the Rev. ARTHUR RAMSAY, MA New Edition. iSmo. is. 6d. SIMPSON— AN EPITOME OF THE HISTORY OF THE CHRISTIAN CHURCH. By WILLIAM SIMPSON, MA New Edition. Fcap. 8vo. 3*. 6d. TRENCH— By RC TRENCH, DD, Archbishop of Dublin.
Page 138 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.