An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |
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Page vii
... Distance between two given Points 4-6 . Investigation of Equations of certain Straight Lines 7 . . Every Straight Line may be represented by an Equation of the First Degree 9 8 . 9 . Every Equation of the First Degree represents a ...
... Distance between two given Points 4-6 . Investigation of Equations of certain Straight Lines 7 . . Every Straight Line may be represented by an Equation of the First Degree 9 8 . 9 . Every Equation of the First Degree represents a ...
Page xiii
... distances from two given straight lines . In the system of which we are about to treat , the position of a point in a ... distance of a point from the line BC , as positive if the point lie on the same side of that line as the point A ...
... distances from two given straight lines . In the system of which we are about to treat , the position of a point in a ... distance of a point from the line BC , as positive if the point lie on the same side of that line as the point A ...
Page 2
... distance between two given points , in terms of their trilinear co - ordinates . 29 Let a1 , B12 Y1 ; α , B2 , Ya , be the co - ordinates of two given points , r the distance between them . Then , will be a rational integral function of ...
... distance between two given points , in terms of their trilinear co - ordinates . 29 Let a1 , B12 Y1 ; α , B2 , Ya , be the co - ordinates of two given points , r the distance between them . Then , will be a rational integral function of ...
Page 3
... Y2 ) cos A , whence r2_ ( ẞ1 − ẞ , ) 2 + ( Y1 − Ye ) 2 + 2 ( B1 − B2 ) ( Y1 — Y2 ) cos A = sin2 A a rational integral function of the second degree . where 7 , m , n are certain functions of DISTANCE BETWEEN TWO POINTS . 5.
... Y2 ) cos A , whence r2_ ( ẞ1 − ẞ , ) 2 + ( Y1 − Ye ) 2 + 2 ( B1 − B2 ) ( Y1 — Y2 ) cos A = sin2 A a rational integral function of the second degree . where 7 , m , n are certain functions of DISTANCE BETWEEN TWO POINTS . 5.
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Common terms and phrases
aa+bB+cy angular points anharmonic ratio asymptotes auxiliary conic b₁ b₂ C₁ Cambridge centre Chap chord circle cloth co-ordinates coefficients coincide common tangents conic passing conic section conics intersect Crown 8vo denoted determine directrix find the condition find the equation fixed point fixed straight line four points given conic given point given straight line hyperbola internal bisectors investigated Let the equation line at infinity line joining locus meets the conic obtain opposite sides pair parabola Pascal's Theorem perpendicular point f point of intersection points of contact PQRS projection prove represented respect second degree shewn Similarly sin POS tangents tangents drawn theorem three points three straight lines tion touch the conic touches the line Treatise triangle of reference uaČ V'ca values W'ab whence λα
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Page 6 - 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 11 - 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 17 - Our Year. A Child's Book, in Prose and Verse. By the Author of
Page 8 - 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 8 - ... 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 150 - SNOWBALL — THE ELEMENTS OF PLANE AND SPHERICAL TRIGONOMETRY; with the Construction and Use of Tables of Logarithms. By JC SNOWBALL, MA New Edition.
Page 8 - 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.
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Page 16 - 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 2 - 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.