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 8
... find for the area of the triangle the expression ( 2 ) , or that expression ... equation . Equation to a curve . ... y . 12. Suppose an equation to be given between two unknown quantities , for example ... equation to 8 LOCUS OF AN EQUATION .
... find for the area of the triangle the expression ( 2 ) , or that expression ... equation . Equation to a curve . ... y . 12. Suppose an equation to be given between two unknown quantities , for example ... equation to 8 LOCUS OF AN EQUATION .
Página 9
... Find the polar co - ordinates of the points whose rect- angular co - ordinates are ( 1 ) x = 1 , y = 1 ; ( 3 ) x = -1 , y = 1 ; ( 2 ) x = -1 , y = 2 ; ( 4 ) x = -1 , y = -1 ; and indicate the points in a figure . 2. Find ... equation ( 2 ) of ...
... Find the polar co - ordinates of the points whose rect- angular co - ordinates are ( 1 ) x = 1 , y = 1 ; ( 3 ) x = -1 , y = 1 ; ( 2 ) x = -1 , y = 2 ; ( 4 ) x = -1 , y = -1 ; and indicate the points in a figure . 2. Find ... equation ( 2 ) of ...
Página 12
... find the corresponding value of y from the equation y = mx + c ; x and y are therefore called variable quantities or variables . If the line pass through the origin , c = 0 , and the equation becomes y = = mx . 15. We have now to ...
... find the corresponding value of y from the equation y = mx + c ; x and y are therefore called variable quantities or variables . If the line pass through the origin , c = 0 , and the equation becomes y = = mx . 15. We have now to ...
Página 14
... equations . Thus suppose the equation 2y + 3x = 7 proposed ; since a straight line is determined when two of its points are known , we may - find in any manner we please two points that 14 EQUATION IN TERMS OF THE INTERCEPTS .
... equations . Thus suppose the equation 2y + 3x = 7 proposed ; since a straight line is determined when two of its points are known , we may - find in any manner we please two points that 14 EQUATION IN TERMS OF THE INTERCEPTS .
Página 15
Isaac Todhunter. - find in any manner we please two points that lie on the 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 ...
Isaac Todhunter. - find in any manner we please two points that lie on the 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 ...
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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.