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 Affichage du livre entier - 1862 |
Expressions et termes fréquents
angle asymptotes axes becomes bisects called Cambridge centre CHAPTER chord chord of contact circle cloth co-ordinates coincide College common conic section conjugate diameters constant corresponding Crown 8vo curve cuts denote described determined direction distance draw drawn Edition ellipse equal Examples expression extremities figure find the equation fixed point focus four give given point greater Hence hyperbola inclined length line joining line passing locus means meet middle point negative normal obtain origin pair parabola parallel perpendicular point of intersection polar equation pole positive produced proposition prove radius ratio rectangular referred represents respectively result right angles satisfy Schools shew shewn sides similar Similarly straight line student Substitute suppose tangent tion touch triangle values vertex written
Fréquemment cités
Page 100 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Page 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.
Page 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.
Page 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.
Page 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.
Informations bibliographiques
| Titre | A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic Sections |
| Auteur | Isaac Todhunter |
| Édition | 3 |
| Éditeur | Macmillan, 1862 |
| Original provenant de | Université de Harvard |
| Numérisé | 18 mai 2007 |
| Longueur | 326 pages |
| Exporter la citation | BiBTeX EndNote RefMan |