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 100.
Σελίδα 1
... 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 commence by explaining what we mean by the co - ordinates of a point ...
... 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 commence by explaining what we mean by the co - ordinates of a point ...
Σελίδα 2
... contrary be stated ; this remark applies both to our investigations and to the examples which are given for the exercise of the student . 6. Another method of determining the position of a point 2 CO - ORDINATES OF A POINT .
... contrary be stated ; this remark applies both to our investigations and to the examples which are given for the exercise of the student . 6. Another method of determining the position of a point 2 CO - ORDINATES OF A POINT .
Σελίδα 3
Isaac Todhunter. 6. Another method of determining the position of a point in a plane is 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 ...
Isaac Todhunter. 6. Another method of determining the position of a point in a plane is 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 ...
Σελίδα 6
... a given ratio the line joining two given points . A D R N M X Let A and B be the given points , x , y , the co - ordinates of A , and x , y , those of B ; and let the required ratio be that of n , to n . Suppose C the required point ...
... a given ratio the line joining two given points . A D R N M X Let A and B be the given points , x , y , the co - ordinates of A , and x , y , those of B ; and let the required ratio be that of n , to n . Suppose C the required point ...
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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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.