A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic SectionsMacmillan, 1862 - 326 σελίδες |
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Αποτελέσματα 1 - 5 από τα 27.
Σελίδα 1
... means of co - ordinates ; we commence by explaining what we mean by the co - ordinates of a point . X Y N P M Y ' Let O be a fixed point in a plane through which the lines X'OX , Y'OY , are drawn at right angles . Let P be any other ...
... means of co - ordinates ; we commence by explaining what we mean by the co - ordinates of a point . X Y N P M Y ' Let O be a fixed point in a plane through which the lines X'OX , Y'OY , are drawn at right angles . Let P be any other ...
Σελίδα 3
... means of polar co - ordinates . X Let O be a fixed point , and OX a fixed line . Let P be any other point ; join OP ; then the position of P is determined if we know the angle XOP and the distance OP . The angle is usually denoted by ...
... means of polar co - ordinates . X Let O be a fixed point , and OX a fixed line . Let P be any other point ; join OP ; then the position of P is determined if we know the angle XOP and the distance OP . The angle is usually denoted by ...
Σελίδα 8
... means of their equations . We shall in the next chapter begin with the equation to a straight line . The connexion between a locus and an equation is the fundamental idea of the subject and must therefore be carefully considered ; we ...
... means of their equations . We shall in the next chapter begin with the equation to a straight line . The connexion between a locus and an equation is the fundamental idea of the subject and must therefore be carefully considered ; we ...
Σελίδα 9
... mean that every term is of the form Axay where a and B are zero or positive integers such that a + B is equal to n for one or more of the terms but not greater than n for any term , and A is a constant numerical quantity ; and the ...
... mean that every term is of the form Axay where a and B are zero or positive integers such that a + B is equal to n for one or more of the terms but not greater than n for any term , and A is a constant numerical quantity ; and the ...
Σελίδα 18
... means of these relations we may shew the agreement of the equations in Arts . 14 , 17 , 20 , or from one of them ... mean a certain length esti- mated positively . Thus х a = - -3 = a and therefore , as before , y = 1 . Oblique Co ...
... means of these relations we may shew the agreement of the equations in Arts . 14 , 17 , 20 , or from one of them ... mean a certain length esti- mated positively . Thus х a = - -3 = a and therefore , as before , y = 1 . Oblique Co ...
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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.