An Elementary Treatise on Conic SectionsMacmillan, 1883 - 352 sider |
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Resultat 1-5 av 48
Side 1
... take OL , OM equal respectively to the known lines PM , PL and complete the parallelogram LOMP . The lengths MP and LP , or OL and OM , which thus define the position of the point P with reference to the S. C. S. 1 lines OX , OY are ...
... take OL , OM equal respectively to the known lines PM , PL and complete the parallelogram LOMP . The lengths MP and LP , or OL and OM , which thus define the position of the point P with reference to the S. C. S. 1 lines OX , OY are ...
Side 18
... take for its equation any one of the general forms . ( i ) y = mx + c , ( iii ) lx + my = 1 , or ( v ) Ax + By + C = 0 . ( ii ) 2 + 1 = 1 , a b - ( iv ) x cos a + y sin a − p = 0 , We have then to determine the values of the two ...
... take for its equation any one of the general forms . ( i ) y = mx + c , ( iii ) lx + my = 1 , or ( v ) Ax + By + C = 0 . ( ii ) 2 + 1 = 1 , a b - ( iv ) x cos a + y sin a − p = 0 , We have then to determine the values of the two ...
Side 19
... Take any one of the general forms , for example , y = = mx + c ........ . ( i ) . y " Let the co - ordinates of the two points be x ' , y ' and x " , respectively . Then , since these points are on the line ( i ) , we have y ' = mx + c ...
... Take any one of the general forms , for example , y = = mx + c ........ . ( i ) . y " Let the co - ordinates of the two points be x ' , y ' and x " , respectively . Then , since these points are on the line ( i ) , we have y ' = mx + c ...
Side 27
... take the denominators to be both positive , and if the upper sign be taken in ( iii ) , ax + by + c and ax + b'y + c ' must both be positive or both be negative . Hence in ax + by + c √a2 + b2 = + 12 a ' x + bx + c ' Ja2 + b22 . ( iv ) ...
... take the denominators to be both positive , and if the upper sign be taken in ( iii ) , ax + by + c and ax + b'y + c ' must both be positive or both be negative . Hence in ax + by + c √a2 + b2 = + 12 a ' x + bx + c ' Ja2 + b22 . ( iv ) ...
Side 39
... are described , having their sides parallel to two given straight lines ; shew that the other diagonals of these parallelograms will meet in a point . axes . Take any two lines parallel to the sides THE STRAIGHT LINE . 39.
... are described , having their sides parallel to two given straight lines ; shew that the other diagonals of these parallelograms will meet in a point . axes . Take any two lines parallel to the sides THE STRAIGHT LINE . 39.
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An Elementary Treatise on Conic Sections by the Methods of Co-ordinate Geometry Charles Smith Uten tilgangsbegrensning - 1921 |
Vanlige uttrykk og setninger
2hxy a² b2 angular points asymptotes ax² axes bisect by² Cambridge centre circumscribing coefficients College confocal conics conjugate diameters conjugate hyperbola constant corresponding cross ratio Crown 8vo curve diagonals directrix distance eccentric angles Edition ellipse envelope equal angles Extra fcap fcap find the equation find the locus fixed point fixed straight line foci focus four points given points given straight line harmonic Hence imaginary inscribed latus rectum Let the co-ordinates Let the equation line joining line whose equation meet middle point nine-point circle normals pair of conjugate parabola pass pencil perpendicular point of intersection point Q points at infinity points of contact polar pole Professor projection prove quadrilateral radical axis rectangular hyperbola required equation right angles shew sides square subtend tangents triangle of reference values vertex zero
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