## An Elementary Treatise on Trilinear Co-ordinates: The Method of Reciprocal Polars, and the Theory Projections |

### Other editions - View all

An Elementary Treatise on Trilinear Coordinates: The Method of Reciprocal Norman MacLeod Ferrers No preview available - 2023 |

### Common terms and phrases

a₁ aa+bB+cy angular points anharmonic ratio asymptotes auxiliary circle auxiliary conic b₁ b₂ Brianchon's Theorem C₁ Cambridge centre Chap chord co-ordinates coefficients common tangents condition conic section conics intersect Crown 8vo denoted determine directrix distance ellipse find the equation fixed point fixed straight line focus follows four points given conic given point given straight line harmonic Hence hyperbola internal bisectors investigated line at infinity lines joining locus meets the conic obtain opposite sides parabola Pascal's Theorem perpendicular point f point of intersection points lying points of contact poles and polars projection prove radius reciprocal curve reciprocal polars represented respect right angles second degree shewn Similarly sin POS tangents drawn theorem three points three straight lines touches the line triangle of reference U'bc Ua² V'ca Vb² W'ab Wc² λα

### Popular passages

Page 17 - 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 11 - Ferrers. — AN ELEMENTARY TREATISE ON TRILINEAR CO-ORDINATES, the Method of Reciprocal Polars, and the Theory of Projectors. By the Rev. NM FERRERS, MA, Fellow and Tutor of Gonville and Caius College, Cambridge.

Page 12 - Calculus — a connection which in some instances involves far more than a merely formal analogy. The work is in some measure designed as a sequel to Professor Boole's Treatise on Differential Equations.

Page 8 - 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.

Page 22 - HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE FIRST FOUR CENTURIES. By BROOKE FOSS WESTCOTT, MA 694 pp. [1855]. Crown 8vo. cloth. 12«. 6d. The Author has endeavoured to connect the history of the New Testament Canon...

Page 4 - Mathematics. Each chapter is followed by a set of Examples: those which are entitled Miscellaneous Examples, together with a few in some of the other sets, may be advantageously...

Page 22 - 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. Such a method of inquiry will convey both the truest notion of the connection of the written Word with the living Body of Christ, and the surest conviction of its divine authority.

Page 4 - ... after he has made some progress in the subject. In the Second Edition the hints for the solution of the Examples have been considerably increased. A TREATISE ON SPHERICAL TRIGONOMETRY.

Page 21 - Western tribe, and nations, but of Christendom at large A kindred reason has suggested the propriety of pausing at the year 1520, — the year when Luther, having been extruded from those Churches that adhered to the Communion of the Pope, established a provisional form of government and opened a fresh era...

Page 116 - ... intersection of perpendiculars of a triangle inscribed in an equilateral hyperbola lies on the curve. (246) The tangents from any point to two confocal conies are equally inclined to each other. (247) The locus of the pole of a fixed line with regard to a series of confocal conies is a straight line. (248) On a fixed tangent to a conic are taken a fixed point A and two moveable points P, Q, such that AP, AQ subtend equal angles at a fixed point 0. From P, Q are drawn two other tangents to the...