A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic SectionsMacmillan, 1862 - 326 páginas |
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Página 1
... straight lines and curves lying in one plane by 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 ...
... straight lines and curves lying in one plane by 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 ...
Página 14
... straight line . 17. Equation in terms of the intercepts . The equation to a line may also be expressed in terms of its intercepts on the two axes . B P 10 M Let A and B be the points where the straight line meets the axes of x and y ...
... straight line . 17. Equation in terms of the intercepts . The equation to a line may also be expressed in terms of its intercepts on the two axes . B P 10 M Let A and B be the points where the straight line meets the axes of x and y ...
Página 15
... line , and by joining them obtain the line . Suppose then x = 1 , it follows from the equation that y = 2 ; hence the point which has its abscissa = 1 and its ordinate = 2 is on the line ... line inclined EXAMPLES OF STRAIGHT LINES . 15.
... line , and by joining them obtain the line . Suppose then x = 1 , it follows from the equation that y = 2 ; hence the point which has its abscissa = 1 and its ordinate = 2 is on the line ... line inclined EXAMPLES OF STRAIGHT LINES . 15.
Página 25
Isaac Todhunter. CHAPTER III . PROBLEMS ON THE STRAIGHT LINE . 32. WE proceed to apply the results of the preceding articles to the solution of some problems . To find the form of the equation to a straight line which passes through a ...
Isaac Todhunter. CHAPTER III . PROBLEMS ON THE STRAIGHT LINE . 32. WE proceed to apply the results of the preceding articles to the solution of some problems . To find the form of the equation to a straight line which passes through a ...
Página 28
... line joining ( x , y1 ) to ( x2 , Y2 ) • 37. To find the equation to the straight line which passes through a given point and divides the line joining two other given points in a given ratio . Let ( h , k ) be the first given point ...
... line joining ( x , y1 ) to ( x2 , Y2 ) • 37. To find the equation to the straight line which passes through a given point and divides the line joining two other given points in a given ratio . Let ( h , k ) be the first given point ...
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Términos y frases comunes
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
Pasajes populares
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 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 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.