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 33.
Σελίδα 9
... points in question 1 . 5. A is a point on the axis of x and B a point on the axis of y ; express the co - ordinates of the middle point of AB in terms of the abscissa of A and the ordinate of B ; shew also that the distance of this point ...
... points in question 1 . 5. A is a point on the axis of x and B a point on the axis of y ; express the co - ordinates of the middle point of AB in terms of the abscissa of A and the ordinate of B ; shew also that the distance of this point ...
Σελίδα 10
... middle point of AB ; join CD and divide it in G so that CG = 2GD ; find the co - ordinates of G. 9. Shew that each of the triangles GAB , GBC , GAC , formed by joining the point G in the preceding question to the points A , B , C , is ...
... middle point of AB ; join CD and divide it in G so that CG = 2GD ; find the co - ordinates of G. 9. Shew that each of the triangles GAB , GBC , GAC , formed by joining the point G in the preceding question to the points A , B , C , is ...
Σελίδα 48
... point , namely , the origin . 62. It is obvious that if the locus represented by an equa- tion f ( x , y ) = 0 ... middle points of the opposite sides meet in a point . Let ABC be a triangle , D , E , F the middle points of the sides ...
... point , namely , the origin . 62. It is obvious that if the locus represented by an equa- tion f ( x , y ) = 0 ... middle points of the opposite sides meet in a point . Let ABC be a triangle , D , E , F the middle points of the sides ...
Σελίδα 49
... middle point of CB , the abscissa of D is y ' ‡ ( x2 + a ) and its ordinate ( Art . 10 ) ; since E is the middle 2 point of AC , the abscissa of E is x ' 2 and its ordinate ; since F'is the middle point of AB , its abscissa is zero ...
... middle point of CB , the abscissa of D is y ' ‡ ( x2 + a ) and its ordinate ( Art . 10 ) ; since E is the middle 2 point of AC , the abscissa of E is x ' 2 and its ordinate ; since F'is the middle point of AB , its abscissa is zero ...
Σελίδα 50
... point of intersection of ( 5 ) and ( 6 ) we have x = x ' , y 1 - ( x ' — a ) ; y and as these values satisfy ( 4 ) ... middle points of the sides of a triangle respectively perpendicular to those sides meet in a point . The equation to the ...
... point of intersection of ( 5 ) and ( 6 ) we have x = x ' , y 1 - ( x ' — a ) ; y and as these values satisfy ( 4 ) ... middle points of the sides of a triangle respectively perpendicular to those sides meet in a point . The equation to the ...
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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.