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 71.
Σελίδα 7
... written more symmetrically thus ; Į { ( x , −x ̧ ) ( Y2 + y1 ) + ( x , −x ̧ ) ( Y ̧ + Y2 ) + ( x ̧ − x ̧ ) ( Y2 + Ys ) } } ... .. ( 1 ) . By reducing it , we shall find the area of the triangle = - 192 2 ......... ( 2 ) . If the axes ...
... written more symmetrically thus ; Į { ( x , −x ̧ ) ( Y2 + y1 ) + ( x , −x ̧ ) ( Y ̧ + Y2 ) + ( x ̧ − x ̧ ) ( Y2 + Ys ) } } ... .. ( 1 ) . By reducing it , we shall find the area of the triangle = - 192 2 ......... ( 2 ) . If the axes ...
Σελίδα 34
... written in the form ( y - k ) ( 1 - m tan B ) = ( m + tan B ) ( x − h ) , - and we see that when m = cot ẞ the left - hand side is zero ; thus the required equation is then - The equation to CE becomes x − h = 0 . y - k cot B - tan B ...
... written in the form ( y - k ) ( 1 - m tan B ) = ( m + tan B ) ( x − h ) , - and we see that when m = cot ẞ the left - hand side is zero ; thus the required equation is then - The equation to CE becomes x − h = 0 . y - k cot B - tan B ...
Σελίδα 35
... written in the form - ( y −k ) ( 1 + m tan ẞ ) = ( m — tan B ) ( x − h ) , and we see that when m— cot B the left - hand member is zero ; thus the required equation is then x - h = 0 . π ( 7 ) Suppose B = y - k = The equation to CD ...
... written in the form - ( y −k ) ( 1 + m tan ẞ ) = ( m — tan B ) ( x − h ) , and we see that when m— cot B the left - hand member is zero ; thus the required equation is then x - h = 0 . π ( 7 ) Suppose B = y - k = The equation to CD ...
Σελίδα 41
... written thus , ...... x cos a + y sin a - p ' = 0 ............ ( 2 ) , where p ' is the perpendicular from the origin upon this line . If this line pass through the point ( x ' , y ' ) , we must have x'cos a + y ' sin a - p ' = 0 ; •• p ...
... written thus , ...... x cos a + y sin a - p ' = 0 ............ ( 2 ) , where p ' is the perpendicular from the origin upon this line . If this line pass through the point ( x ' , y ' ) , we must have x'cos a + y ' sin a - p ' = 0 ; •• p ...
Σελίδα 43
... written that the coefficient of y is positive ; then for points on the same side of the line as the positive part of the axis of y , the perpendicular is x cos a + y sin a ; for points on the other side it is- ( x cos a + y sin a ) ...
... written that the coefficient of y is positive ; then for points on the same side of the line as the positive part of the axis of y , the perpendicular is x cos a + y sin a ; for points on the other side it is- ( x cos a + y sin a ) ...
Άλλες εκδόσεις - Προβολή όλων
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.