## An Introduction to Analytical Plane Geometry1867 - Geometry, Analytic - 272 pages |

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### Common terms and phrases

a² b2 algebraic angular points asymptotes Ax+By+C ax² axis bisects Cambridge centre chord of contact circle x² coincide cone conic section conjugate hyperbola constant cos² denote directrix distance drawn eccentricity ellipse equal equation for determining Euclid Find the equation Find the locus fixed point foci focus Geometry given line given point imaginary inclined infinite intersection late Fellow latus rectum line at infinity line Ax+ line joining locus middle point negative opposite sides parabola Pascal's Theorem passes Pembroke College perpendicular plane point x'y polar co-ordinates polar equation pole positive projection Prove rectangular hyperbola represents right angles Similarly sin² straight line tangent theorem touch triangle of reference Trinity College values vertex x² y² Y₁ Y₂ zero

### Popular passages

Page 103 - The locus of the middle points of a system of parallel chords in a parabola is called a diameter.

Page 268 - Treatise on the Motion of a Single Particle and of two Particles acting on one another. By A. SANDEMAN. 8vo.

Page 86 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.

Page 265 - These editions have taken their place amongst scholars as valuable contributions to the Classical Literature of this country, and are admitted to be good examples of the judicious and practical nature of English scholarship; and as the editors have formed their texts from a careful examination of the best editions extant, it is believed that no texts better for general use can be found. The volumes will be well printed at the Cambridge University Press, in a 16mo. size, and will be issued at short...

Page 266 - Principles and Practice of Arithmetic. Comprising the Nature and Use of Logarithms, with the Computations employed by Artificers, Gangers, and Land Surveyors. Designed for the Use of Students, by J. Hind, MA, formerly Fellow and Tutor of Sidney Sussex College. Ninth edition, with Questions. 4^.

Page 42 - A point moves so that the difference of the squares of its distances from (3, 0) and (0, — 2) is always equal to 8.