## An elementary treatise on trilinear co-ordinates, the method of reciprocal polars, and the theory of projections |

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### Common terms and phrases

a₁ aa+bB+cy angular points asymptotes auxiliary circle auxiliary conic b₁ b₂ Brianchon's Theorem C₁ centre Chap chord coefficients coincide common tangents conic section conics intersect Crown 8vo denoted determinant directrix distance ellipse find the condition find the equation fixed point fixed straight line focus follows four points given conic given point given straight line Hence hyperbola internal bisectors investigated Let the equation line at infinity line joining locus meets the conic obtain opposite sides parabola Pascal's Theorem perpendicular point f point of intersection points of contact projection prove reciprocal curves reciprocal polars represented respect second degree shewn Similarly sin POS tangents drawn theorem three points three straight lines tion touches the line triangle of reference ua² V'ca values Vb² vß² W'ab whence wy² λα

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Page 8 - 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 13 - 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 19 - Our Year. A Child's Book, in Prose and Verse. By the Author of

Page 10 - In order to spare astronomers and observers in natural philosophy the confusion and loss of time which are produced by referring to the ordinary treatises embracing both branches of probabilities (the first...

Page 10 - ... 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 152 - SNOWBALL — THE ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY; with the Construction and Use of Tables of Logarithms. By JC SNOWBALL, MA New Edition.

Page 10 - It is of importance that those who wish to cultivate any subject may be able to ascertain what results have already been obtained, and thus reserve their strength for difficulties which have not yet been conquered. The Author has endeavoured in this work to ascertain distinctly what has been effected in the Progress of the Calculus, and to form some estimate of the manner in which it has been effected.

Page 18 - Church, and to point out the relation existing between the amount of evidence for the authenticity of its component parts and the whole mass of Christian literature. Such a method of inquiry will convey both the truest notion of the connexion of the written Word with the living Body of Christ, and the surest conviction of its divine authority.

Page 18 - The author has endeavoured to connect the history of the New Testament Canon with the growth and consolidation of the Church, and to point out the relation existing between the amount of evidence for the authenticity of its component parts, and the whole mass of Christian literature.

Page 4 - Routh. — AN ELEMENTARY TREATISE ON THE DYNAMICS OF THE SYSTEM OF RIGID BODIES. With Numerous Examples. By EDWARD JOHN ROUTH, MA, late Fellow and Assistant Tutor of St. Peter's College, Cambridge; Examiner in the University of London. Second Edition, enlarged. Crown 8vo. cloth.