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 42.
Σελίδα 2
... positive and along OX ' negative ; lines measured along Or are considered positive , and along OY ' negative . ( See Trigonometry , Chap . IV . ) If then we pro- duce PN to a point Q such that NQNP , we have for the point Q , xa , y = b ...
... positive and along OX ' negative ; lines measured along Or are considered positive , and along OY ' negative . ( See Trigonometry , Chap . IV . ) If then we pro- duce PN to a point Q such that NQNP , we have for the point Q , xa , y = b ...
Σελίδα 3
... positive and in the other negative . Thus if in the figure XOP be a positive angle , XOQ will be a negative angle ; if the angle XOQ be a quarter of a right angle , we may say that for XOQ , 0 = - . It is , as we have stated , not ...
... positive and in the other negative . Thus if in the figure XOP be a positive angle , XOQ will be a negative angle ; if the angle XOQ be a quarter of a right angle , we may say that for XOQ , 0 = - . It is , as we have stated , not ...
Σελίδα 4
... positive quantity but in the opposite direction from 0 . Hence if ẞ represent any angle and c any length the same point is determined by the polar co - ordinates B and -c as by the polar co - ordinates + B and c . 8. Let x , y denote ...
... positive quantity but in the opposite direction from 0 . Hence if ẞ represent any angle and c any length the same point is determined by the polar co - ordinates B and -c as by the polar co - ordinates + B and c . 8. Let x , y denote ...
Σελίδα 9
... positive integers such that a + B is equal to n for one or more of the terms but not greater than n for any term , and A is a constant numerical quantity ; and the equation is formed by connecting a series of such terms by the signs + ...
... positive integers such that a + B is equal to n for one or more of the terms but not greater than n for any term , and A is a constant numerical quantity ; and the equation is formed by connecting a series of such terms by the signs + ...
Σελίδα 12
... 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 positive ; if between OY and OX produced to the left , m is the tangent of an ...
... 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 positive ; if between OY and OX produced to the left , m is the tangent of an ...
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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.