A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic SectionsMacmillan, 1862 - 326 σελίδες |
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Σελίδα 1
... point O is called the origin ; the lines OX and OY are called axes ; OM is called the abscissa of the point P ; and . T. C. S. 1 ON , or its equal MP , is called the PLANE CO-ORDINATE GEOMETRY СНАР PAGE I Co-ordinates of a Point.
... point O is called the origin ; the lines OX and OY are called axes ; OM is called the abscissa of the point P ; and . T. C. S. 1 ON , or its equal MP , is called the PLANE CO-ORDINATE GEOMETRY СНАР PAGE I Co-ordinates of a Point.
Σελίδα 2
... equal to a , and its ordinate equal to b ; or , more briefly , the co - ordinates of the point P are a and b . We shall often speak of the point which has a for its abscissa and b for its ordinate , as the point ( a , b ) . 3. A ...
... equal to a , and its ordinate equal to b ; or , more briefly , the co - ordinates of the point P are a and b . We shall often speak of the point which has a for its abscissa and b for its ordinate , as the point ( a , b ) . 3. A ...
Σελίδα 7
... equal to the trapezium ABML + trapezium BCNM – trapezium ACNL . Y B LA M 1 The area of the trapezium ABML is LM ( AL + BM ) . This is obvious , because if we join BL we divide the trape- zium into two triangles , one having AL for its ...
... equal to the trapezium ABML + trapezium BCNM – trapezium ACNL . Y B LA M 1 The area of the trapezium ABML is LM ( AL + BM ) . This is obvious , because if we join BL we divide the trape- zium into two triangles , one having AL for its ...
Σελίδα 10
... equal in area to one - third of the triangle ABC . See Art . 11 . the origin 10. A and B are two points ; the polar co - ordinates of A are 0 ,, r and those of B ̄are 0 , r2 . A line is drawn from bisecting the angle AOB ; if C be the ...
... equal in area to one - third of the triangle ABC . See Art . 11 . the origin 10. A and B are two points ; the polar co - ordinates of A are 0 ,, r and those of B ̄are 0 , r2 . A line is drawn from bisecting the angle AOB ; if C be the ...
Σελίδα 13
... equal to OB . Hence calling y the ordinate of any point P , we have for the equation to the line y = b . Next suppose the line parallel to the axis of y . Let AD be the line meeting the axis of x in A ; suppose OA = a . Since the line ...
... equal to OB . Hence calling y the ordinate of any point P , we have for the equation to the line y = b . Next suppose the line parallel to the axis of y . Let AD be the line meeting the axis of x in A ; suppose OA = a . Since the line ...
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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.