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 1
... called the origin ; the lines OX and OY are called axes ; OM is called the abscissa of the point P ; and . T. C. S. 1 ON , or its equal MP , is called the PLANE CO-ORDINATE GEOMETRY СНАР PAGE I Co-ordinates of a Point.
... called the origin ; the lines OX and OY are called axes ; OM is called the abscissa of the point P ; and . T. C. S. 1 ON , or its equal MP , is called the PLANE CO-ORDINATE GEOMETRY СНАР PAGE I Co-ordinates of a Point.
Σελίδα 2
Isaac Todhunter. ON , or its equal MP , is called the ordinate of P. Also OM and MP are together called co - ordinates of P. 2. Let OM = a , and ON = b , then according to our defi- nitions we may say that the point P has its abscissa ...
Isaac Todhunter. ON , or its equal MP , is called the ordinate of P. Also OM and MP are together called co - ordinates of P. 2. Let OM = a , and ON = b , then according to our defi- nitions we may say that the point P has its abscissa ...
Σελίδα 3
... called the pole , OX the initial line ; OP the radius vector of the point P , and POX the vectorial angle . 7. The position of any point might be expressed by positive values of the polar co - ordinates and r , since there is here no ...
... called the pole , OX the initial line ; OP the radius vector of the point P , and POX the vectorial angle . 7. The position of any point might be expressed by positive values of the polar co - ordinates and r , since there is here no ...
Σελίδα 8
... called the locus of the equation . It will be shewn in the next 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 ...
... called the locus of the equation . It will be shewn in the next 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 ...
Σελίδα 9
Isaac Todhunter. curve , the a curve is called the equation to the curve ; and the co - ordinates of every point of which satisfy a given equation , is called the locus of that equation . 13. The student has probably already become ...
Isaac Todhunter. curve , the a curve is called the equation to the curve ; and the co - ordinates of every point of which satisfy a given equation , is called the locus of that equation . 13. The student has probably already become ...
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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.