A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic SectionsMacmillan, 1862 - 326 σελίδες |
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Σελίδα
... chapters , and may be omitted by the student at first . The examples at the end of each chapter , will , it is hoped , furnish sufficient exercise on the principles of the subject , as they have been carefully selected with the view of ...
... chapters , and may be omitted by the student at first . The examples at the end of each chapter , will , it is hoped , furnish sufficient exercise on the principles of the subject , as they have been carefully selected with the view of ...
Σελίδα
... . Sections of a Cone . Anharmonic Ratio and Harmonic Pencil 300 • ANSWERS TO EXAMPLES 310 Students reading this work for the first time may omit Chapters IV , VII , XIV , XV , XVI . PLANE CO - ORDINATE GEOMETRY . CHAPTER I. CO -
... . Sections of a Cone . Anharmonic Ratio and Harmonic Pencil 300 • ANSWERS TO EXAMPLES 310 Students reading this work for the first time may omit Chapters IV , VII , XIV , XV , XVI . PLANE CO - ORDINATE GEOMETRY . CHAPTER I. CO -
Σελίδα 1
Isaac Todhunter. PLANE CO - ORDINATE GEOMETRY . CHAPTER I. CO - ORDINATES OF A POINT . 1. IN Plane Co - ordinate Geometry we investigate the properties of straight lines and curves lying in one plane by means of co - ordinates ; we ...
Isaac Todhunter. PLANE CO - ORDINATE GEOMETRY . CHAPTER I. CO - ORDINATES OF A POINT . 1. IN Plane Co - ordinate Geometry we investigate the properties of straight lines and curves lying in one plane by means of co - ordinates ; we ...
Σελίδα 8
... chapter that the locus of the equation in question is a straight line . We shall see as we proceed that generally every equa- tion between the quantities x and y has a corresponding locus . But instead of starting with an equation and ...
... chapter that the locus of the equation in question is a straight line . We shall see as we proceed that generally every equa- tion between the quantities x and y has a corresponding locus . But instead of starting with an equation and ...
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Συχνά εμφανιζόμενοι όροι και φράσεις
a²b² a²b³ a²y abscissa asymptotes ax² axes axis of x b²x² bisects centre chord of contact circle conic section conjugate diameters conjugate hyperbola constant Crown 8vo cy² denote directrix distance Edition ellipse equa equal Examples external point find the equation find the locus fixed point focal chord focus given lines given point Hence the equation inclined latus rectum Let the equation line drawn line joining lines meet lines which pass major axis meet the curve middle point negative normal ordinate origin parabola parallel 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 student suppose tangent tion triangle vertex x₁ y₁
Δημοφιλή αποσπάσματα
Σελίδα 100 - A point moves so that the sum of the squares of its distances from the points (0, 0), (1, 0) is constant.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.
Σελίδα 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.