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abscissa asymptotes axes axis of x centre chord of contact circle conic section conjugate diameters conjugate hyperbola constant cos2 Crown 8vo denote determined directrix distance ellipse equa equal Examples excentricity expression external point find the equation find the locus fixed point focal chord focus given lines given point given straight line Hence the equation inclined latus rectum length Let the equation line drawn line joining line which passes lines meet lines represented major axis meet the curve middle point negative normal obtain ordinate origin P. G. TAIT parabola parallelogram Pascal's Theorem perpendicular point h point of intersection polar co-ordinates polar equation pole positive preceding article proposition radical axis ratio rectangular required equation respectively right angles shew shewn sides Similarly straight line passing student suppose tangents are drawn tion trapezium triangle vertex
Página 279 - A circle which touches one side of a triangle and the other two sides produced, is called an escribed circle of the triangle.
Página 324 - 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.
Página 98 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Página 326 - 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.
Página 319 - PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Página 326 - ... 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.
Página 331 - For really ripe scholarship. extensive acquaintance with Latin literature, and familiar knowledge of continental criticism, ancient and modern, it is unsurpassed among English editions.
Página 329 - 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.
Página 330 - 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