## A treatise on plane co-ordinate geometry1862 |

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a²b² a²b³ a²y abscissa asymptotes ax² axes axis of x b²x² bisects centre chord of contact circle conic section conjugate diameters conjugate hyperbola constant Crown 8vo cy² denote directrix distance ellipse equal EXAMPLES external point find the equation find the locus fixed point focal chord focus given lines given point given straight lines Hence the equation hyperbola inclined latus rectum Let the equation line drawn line joining line which passes major axis meet the curve middle point negative normal ordinate origin parabola perpendicular point h point of intersection polar co-ordinates polar equation pole positive preceding article radical axis ratio rectangular required equation respectively right angles shew shewn sides Similarly sin² suppose tangent tangents are drawn tion triangle vertex x₁ y₁

### Popular passages

Page 267 - A circle which touches one side of a triangle and the other two sides produced, is called an escribed circle of the triangle.

Page 324 - PROCTER— A HISTORY OF THE BOOK OF COMMON PRAYER, with a Rationale of its Offices. By FRANCIS PROCTER, MA Thirteenth Edition, revised and enlarged. Crown 8vo. loг. 6d. PROCTER AND MACLEAR— AN ELEMENTARY INTRODUCTION TO THE BOOK OF COMMON PRAYER.

Page 314 - The design of this work has been to render the subject intelligible to beginners, and at the same time to afford the student the opportunity of obtaining all the information which he will require on this branch of Mathematics.

Page 98 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.

Page 316 - The earlier sections of each chapter contain that kind of matter which has usually been thought suitable for the beginner, while the latter ones are devoted either to an account of recent discovery, or to the discussion of such deeper questions of principle as are likely to present themselves to the reflective student in connection with the methods and processes of his previous course.

Page 309 - PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.

Page 316 - ... which can be altered only by the changes of entire units or integral multiples of units in the fundamental conditions of the problem ; the other concerning those chances which have respect to insensible gradations in the value of the element measured), the present tract has been drawn up.

Page 321 - For really ripe scholarship. extensive acquaintance with Latin literature, and familiar knowledge of continental criticism, ancient and modern, it is unsurpassed among English editions.

Page 319 - Works by the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge. AN ELEMENTARY TREATISE ON TRILINEAR ' CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors.

Page 320 - Extra fcap. 8vo. 4s. 6d. LATHAM. — The Construction of Wrought-iron Bridges. Embracing the Practical Application of the Principles of Mechanics to Wrought-iron Girder Work. By JH LATHAM, Civil Engineer. 8vo. With numerous detail Plates. Second Edition. [Preparing. LATHAM. — Black and White : A Three Months