An Elementary Treatise on Conic Sections |
From inside the book
Results 1-5 of 53
Page x
... points 295 Conics touching four fixed lines 296 Conics with respect to which the triangle of reference is self - polar 297 Conics referred to two tangents and the chord of contact ... point circle 299 Pascal's theorem . [ See also 328. ] 299 ...
... points 295 Conics touching four fixed lines 296 Conics with respect to which the triangle of reference is self - polar 297 Conics referred to two tangents and the chord of contact ... point circle 299 Pascal's theorem . [ See also 328. ] 299 ...
Page 70
... point ; to find the equation of the straight line joining the points of contact of the tangents . Let the co - ordinates of the point from which the tan- gents are drawn be x'y ' . Let the co - ordinates of the two points of contact be ...
... point ; to find the equation of the straight line joining the points of contact of the tangents . Let the co - ordinates of the point from which the tan- gents are drawn be x'y ' . Let the co - ordinates of the two points of contact be ...
Page 71
... points of contact of the two imagi- nary tangents which can be drawn from a point within the circle . Def . The straight line through the points of contact of the tangents ( real or imaginary ) which can be drawn from any point to a ...
... points of contact of the two imagi- nary tangents which can be drawn from a point within the circle . Def . The straight line through the points of contact of the tangents ( real or imaginary ) which can be drawn from any point to a ...
Page 86
... point on the radical axis of two circles tangents are drawn , and the lines joining the points of contact to the centres of the circles are produced to meet ; find the equation of the locus of the point of intersection . 26. If the four ...
... point on the radical axis of two circles tangents are drawn , and the lines joining the points of contact to the centres of the circles are produced to meet ; find the equation of the locus of the point of intersection . 26. If the four ...
Page 87
... points can be found on their common diameter such that either point has the same polar with respect to one circle ... contact of two equal circles of constant radius c , each of which passes through one of two fixed points at a distance ...
... points can be found on their common diameter such that either point has the same polar with respect to one circle ... contact of two equal circles of constant radius c , each of which passes through one of two fixed points at a distance ...
Other editions - View all
Common terms and phrases
2hxy a² b2 angular points asymptotes ax² axes bisect by² Cambridge centre coincident common confocal conics conic touching conjugate diameters constant corresponding Crown 8vo curve diagonals director-circle directrix distance eccentric angles Edition ellipse equal angles Extra fcap fcap find the equation find the locus fixed point fixed straight line foci focus four given points four points given conic given straight line imaginary inscribed latus rectum Let the equation line at infinity line joining line whose equation locus meet middle point nine-point circle normals original conic parabola Pascal's Theorem perpendicular point of intersection points at infinity points of contact polar pole Professor prove quadrilateral radical axis radius ratio rectangular hyperbola right angles second degree self-polar shew sides square tangential equation tangents triangle formed triangle of reference Trinity College values vertex vß² x² y² zero
Popular passages
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.
Page 68 - ST. PAUL'S EPISTLES TO THE COLOSSIANS AND TO PHILEMON. A Revised Text, with Introductions, Notes, and Dissertations.