An elementary manual of coordinate geometry and conic sectionsC.F. Hodgson & Son, 1878 - 148 σελίδες |
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Σελίδα 47
... segments from the centre is equal to the square of the radius , the point so found is called the pole of the straight line . If a given point be joined with the centre of a circle , and the joining line cut or produced so that the ...
... segments from the centre is equal to the square of the radius , the point so found is called the pole of the straight line . If a given point be joined with the centre of a circle , and the joining line cut or produced so that the ...
Σελίδα 48
... segments of that chord = CP_c = ( −a ) + ( y − b ) This , when the point is external , is a positive , that is , the segments of the chord are measured in the same direction from P. When P is inside the circle , then ( x ' — a ) 2 + ...
... segments of that chord = CP_c = ( −a ) + ( y − b ) This , when the point is external , is a positive , that is , the segments of the chord are measured in the same direction from P. When P is inside the circle , then ( x ' — a ) 2 + ...
Σελίδα 49
... segments of the chord , which are measured in opposite directions from P. This agrees with the principle laid down in Article 3 , that straight lines measured in opposite directions have opposite signs . 51. To find the radical axis of ...
... segments of the chord , which are measured in opposite directions from P. This agrees with the principle laid down in Article 3 , that straight lines measured in opposite directions have opposite signs . 51. To find the radical axis of ...
Σελίδα 61
... . But ( as in preceding Article ) , Q being middle point of PN , it follows that QP = QN ; also that TN = 2QL . Therefore TN2 = 4QL2 = 4QP × QF = 4QN.QF. = 67. The area of a segment of a parabola made THE PARABOLA . 61.
... . But ( as in preceding Article ) , Q being middle point of PN , it follows that QP = QN ; also that TN = 2QL . Therefore TN2 = 4QL2 = 4QP × QF = 4QN.QF. = 67. The area of a segment of a parabola made THE PARABOLA . 61.
Σελίδα 62
... segment of a parabola made by any chord is equal to two - thirds of the area of the parallelogram formed by the diameters at the extremities of the chord and the tangent parallel to it . For draw the diameters at T and T , and 62 THE ...
... segment of a parabola made by any chord is equal to two - thirds of the area of the parallelogram formed by the diameters at the extremities of the chord and the tangent parallel to it . For draw the diameters at T and T , and 62 THE ...
Άλλες εκδόσεις - Προβολή όλων
An Elementary Manual of Coordinate Geometry and Conic Sections James White Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2018 |
An Elementary Manual of Coordinate Geometry and Conic Sections James White Δεν υπάρχει διαθέσιμη προεπισκόπηση - 2015 |
Συχνά εμφανιζόμενοι όροι και φράσεις
a² b2 a²+b² abscissa asymptotes Ax+By+C Ax+By+C=0 axis of x bisected bisector called centre chord of contact coefficient cone CONIC SECTIONS conjugate diameters conjugate hyperbola Consequently constant coordinate geometry cos² cosines curve cutting plane dicular directrix draw easily ellipse Euclid extremities find the equation find the locus fixed point focal distance focal radii foci focus given circle given line given point given straight line inclined initial line intercept joining line Latus Rectum length major axis middle point ordinate pair of conjugate parabola pendicular perpen perpendicular plane of yz point of contact polar coordinates polar equation Prop proved radical axis radius vector ratio rectangle right angles segments sides simple equations sin² square straight line joining straight line parallel straight line passing Take any point tangent tangents drawn touch trapezium triangle formed values vertex vertical angle
Δημοφιλή αποσπάσματα
Σελίδα 142 - Tin; rectangle, contained by the diagonals of a quadrilateral inscribed in a circle, is equal to the sum of the rectangles contained by its opposite sides.
Σελίδα 55 - It may also be defined as the locus of a point which moves so that its distance from a fixed point is in a constant ratio to its distance from a fixed straight line.
Σελίδα 138 - The sum of the squares of two sides of a triangle is equal to twice the square of half the third side increased by twice the square of the median upon that side.
Σελίδα 54 - A point moves so that the sum of the squares of its distances from the four sides of a square is constant.
Σελίδα 138 - If a perpendicular be drawn from the vertical angle of any triangle to the base, the difference of the squares of the sides is equal to the difference of the squares of the segments of the base.
Σελίδα 97 - THE simplest property of the hyperbola is that it is the locus of a point the difference of whose distances from two fixed points is constant. The two fixed points are called tho foci.