A Treatise on Plane Co-ordinate Geometry as Applied to the Straight Line and the Conic SectionsMacmillan, 1862 - 326 σελίδες |
Αναζήτηση στο βιβλίο
Αποτελέσματα 1 - 5 από τα 62.
Σελίδα 4
... 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 the co - ordinates of P referred to OX as the axis of x , and a line through O perpendicular to OX ...
... 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 the co - ordinates of P referred to OX as the axis of x , and a line through O perpendicular to OX ...
Σελίδα 5
... = r2 + r ̧2 − 2r ̧r , cos ( 0 , — 01 ) . - 12 2 - " This result can also be obtained immediately from the tri- angle POQ formed by drawing lines from P and Q to the origin . 10 . To find the co - ordinates of the LENGTH OF A LINE . 5.
... = r2 + r ̧2 − 2r ̧r , cos ( 0 , — 01 ) . - 12 2 - " This result can also be obtained immediately from the tri- angle POQ formed by drawing lines from P and Q to the origin . 10 . To find the co - ordinates of the LENGTH OF A LINE . 5.
Σελίδα 9
... length of PQ . ( 4 ) 0 = - 3 " r = -3 ; - 1 and 4 , and those of Q are 4. Find the area of the triangle formed by joining the first three points in question 1 . 5. A is a point on the axis of x and B a point on the axis of y ; express ...
... length of PQ . ( 4 ) 0 = - 3 " r = -3 ; - 1 and 4 , and those of Q are 4. Find the area of the triangle formed by joining the first three points in question 1 . 5. A is a point on the axis of x and B a point on the axis of y ; express ...
Σελίδα 18
... length esti- mated positively . Thus х a = - -3 = a and therefore , as before , y = 1 . Oblique Co - ordinates . 23. Equation to a straight line . We shall denote the inclination of the axes by w . Suppose first , that the line is not ...
... length esti- mated positively . Thus х a = - -3 = a and therefore , as before , y = 1 . Oblique Co - ordinates . 23. Equation to a straight line . We shall denote the inclination of the axes by w . Suppose first , that the line is not ...
Σελίδα 35
... of the subject by applying the general formulæ to special examples . He will find it useful to illustrate these cases by figures . 47. To find the length of the perpendicular drawn from 3-2 EQUATIONS TO CERTAIN LINES . 35.
... of the subject by applying the general formulæ to special examples . He will find it useful to illustrate these cases by figures . 47. To find the length of the perpendicular drawn from 3-2 EQUATIONS TO CERTAIN LINES . 35.
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.