## A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic Sections |

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A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and ... Isaac Todhunter Visualização completa - 1862 |

### Termos e frases comuns

abscissa asymptotes axes axis of x centre chord of contact circle College conic section conjugate diameters conjugate hyperbola constant cos2 Crown 8vo denote determined directrix distance Edition 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 ISAAC TODHUNTER latus rectum length Let the equation line drawn line joining lines meet lines represented lines which pass major axis meet the curve middle point negative normal obtain ordinate parabola parallelogram Pascal's Theorem perpendicular point h point of intersection polar co-ordinates polar equation pole positive preceding article proposition radical axis radius ratio rectangular required equation respectively right angles shew shewn sides Similarly straight line passing student suppose tangents are drawn tion triangle vertex

### Passagens mais conhecidas

Página 339 - 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 339 - THE FIRST THREE SECTIONS OF NEWTON'S PRINCIPIA, ' With Notes and Illustrations. Also a collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA Third Edition.

Página 100 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.

Página 304 - Or, four terms are in harmonical proportion, when the first is to the fourth as the difference of the first and second is to the difference of the third and fourth.

Página 344 - THE GOLDEN TREASURY OF THE BEST SONGS AND LYRICAL POEMS IN THE ENGLISH LANGUAGE. Selected and arranged, with Notes, by FRANCIS TURNER PALGRAVE.

Página 25 - In this equation n is the tangent of the angle which the line makes with the axis of abscissae, and B is the intercept on this axis from the origin.

Página 141 - Thus a parabola is the locus of a point which moves so that its distance from a fixed point is equal to its distance from a fixed straight line (see fig.

Página 339 - Newton, by showing the extent to which they may be applied in the solution of problems ; he has also endeavoured to give assistance to the student who is engaged in the study of the higher branches of Mathematics, by representing in a geometrical form several of the processes employed in the Differential and Integral Calculus, and in the analytical investigations of Dynamics, FROST and WOLSTENHOLME.—k TREATISE ON SOLID GEOMETRY. ' By PERCIVAL FROST, MA, and the Rev.

Página 334 - ... 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 189 - Hyperbola is the locus of a point which moves so that its distance from a fixed point, called the focus, bears a constant ratio, which is greater than unity, to its distance from a fixed straight line, called the directrix.