A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic SectionsMacmillan, 1862 - 326 páginas |
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... 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 -
... 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 -
Página 6
... 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 , so that ...
... 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 , so that ...
Página 19
... ratio of the sine of the inclination of the line to the axis of x to the sine of its inclination to the axis of y . Since sina is always positive , m will be positive or negative accord- ing as sin ( a ) is positive or negative ; thus ...
... ratio of the sine of the inclination of the line to the axis of x to the sine of its inclination to the axis of y . Since sina is always positive , m will be positive or negative accord- ing as sin ( a ) is positive or negative ; thus ...
Página 28
... ratio . Let ( h , k ) be the first given point ; let ( x , y ) , ( x , y ) be the two other given points ; let the given ratio in which the line joining the last two points is to be divided be that of n to n ; then , by Art . 10 , the ...
... ratio . Let ( h , k ) be the first given point ; let ( x , y ) , ( x , y ) be the two other given points ; let the given ratio in which the line joining the last two points is to be divided be that of n to n ; then , by Art . 10 , the ...
Página 37
... ratio of the first perpendicular to the second is equal to the numerical ratio of k - mh , — c to k2 — mh , — c . 1 - 48. To find the length of the line drawn from LENGTH OF A PERPENDICULAR . 37.
... ratio of the first perpendicular to the second is equal to the numerical ratio of k - mh , — c to k2 — mh , — c . 1 - 48. To find the length of the line drawn from LENGTH OF A PERPENDICULAR . 37.
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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.