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 100.
Σελίδα 4
... line through O perpendicular to OX as the axis of y . Also let 0 and be the polar co - ordinates of P. If we draw from P a perpendicular on OX , we see that x = r cos 0 , and y = r sin 0 . These equations connect the rectangular and ...
... line through O perpendicular to OX as the axis of y . Also let 0 and be the polar co - ordinates of P. If we draw from P a perpendicular on OX , we see that x = r cos 0 , and y = r sin 0 . These equations connect the rectangular and ...
Σελίδα 12
... line which is above the axis of x makes with the axis of x pro- duced in the positive direction . Hence if the line through the origin parallel to the given line falls between OY and OX , m is the tangent of an acute angle and is ...
... line which is above the axis of x makes with the axis of x pro- duced in the positive direction . Hence if the line through the origin parallel to the given line falls between OY and OX , m is the tangent of an acute angle and is ...
Σελίδα 15
... of which the tangent Hence y = x represents a line passing through the origin and inclined at an angle of 45 ° to the axis of x . is m . Similarly the equation y = -x represents a line inclined EXAMPLES OF STRAIGHT LINES . 15.
... of which the tangent Hence y = x represents a line passing through the origin and inclined at an angle of 45 ° to the axis of x . is m . Similarly the equation y = -x represents a line inclined EXAMPLES OF STRAIGHT LINES . 15.
Σελίδα 16
... line through O bisecting the angle between OY and OX pro- duced to the left in the figure to Art . 14 . 19. The ... through which it passes , that is , by finding two points such that the co - ordinates of each satisfy the given equation ...
... line through O bisecting the angle between OY and OX pro- duced to the left in the figure to Art . 14 . 19. The ... through which it passes , that is , by finding two points such that the co - ordinates of each satisfy the given equation ...
Σελίδα 19
... line through the origin parallel to the given line falls between OY and OX , or between OY and OX ' . The meaning of m coincides with that in Art . 14 when w = for then m = tan a . π 2 ' 24. Since m = sin a sin ( w - 2-2 EQUATION TO A ...
... line through the origin parallel to the given line falls between OY and OX , or between OY and OX ' . The meaning of m coincides with that in Art . 14 when w = for then m = tan a . π 2 ' 24. Since m = sin a sin ( w - 2-2 EQUATION TO A ...
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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.